I need help with this question o can’t seem to solve this one.



Each can hold 330 milliliters of sparkling water. Layla buys 6-pack of sparkling water. Which sentence about the amount of sparkling water Layla buys is true?


A) Layla bought 20mL less than 2 L


B) Layla bought 120mL less than 2 L


C) Layla bought 20mL less than 20 L


D) Layla bought 120mL less than 20 L



I need help solving this and can you show me by step by step how to solve and thank you

Answers

Answer 1

For the given situation sentence represents amount of the sparkling water bought by Layla is given by :

Option A). Layla bought 20milliliters less sparkling water than 2 liters.

Sparkling water in each pack is equal to 330 milliliters

Number of packs of sparkling water bought by Layla is equal to 6 packs

Amount of sparkling water in 6 packs = 330 milliliters

⇒ Amount of sparkling water in 6 packs = ( 330 × 6 ) milliliters

⇒ Amount of sparkling water in 6 packs = ( 1980 ) milliliters

1 liter = 1000milliliters

⇒ 2 liter = 2000milliliters

1980 is less than 2 liters

Difference between 1980milliliters and 2 liters

2000 - 1980 = 20milliliters

Therefore, sentence which represents the given situation of sparkling water bought by Layla is option A) Sparkling water bought by Layla is 20ml less than 2L.

Learn more about bought here

brainly.com/question/29135079

#SPJ4


Related Questions

grace tiene 240 en el banco ella quiere compre tantos videojuegos de 15 como sea posible ¿Cuantos videojuego podria comprar si ¿Queria mantener al menos 120 en el banco? Ayudenme porfa

Answers

Grace can buy 8 video games of price $15 each if she wants to save $120 from $240.

Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

What does pricing mean?

Pricing is the procedure of determining the value that a manufacturer will receive in the exchange of goods and services. To make the cost of the producer's products suitable for both the manufacturer and the customer, a pricing method is used. Pricing is determined by the firm's average prices as well as the consumer's estimation of an item's value in relation to that of similar goods from rival companies.

The remainder must be $12, so

(El resto debe ser $12, entonces)

240 - 120

= $120

Number of video games she could buy with $120

(Número de videojuegos que podría comprar con $120)

⇒ 120/15

= 8

Therefore, Grace can buy 8 video games if she wants to save $120 from $240.

Por lo tanto, Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

Learn more about Prices

https://brainly.com/question/19091385

#SPJ1

Translated question:

Grace has $240 in the bank. She wants to buy as many $15 video games as possible. How many video games could she buy if she wanted to keep at least $120 in the bank? help me please

NUMber 5
If you eplain how you didi it I put you as brianliest

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

given the 2 equations, you know the following:

when x=2, you get a value of 3, let's call it Y

same with the next equation: when x=6, Y = 5

so the slope will be the diff b/w ys and then divided by diff of x's

so 5-3=2 is the diff of y

6-2=4 is the diff of x

divide 2/4 = 1/2 so the slope is 1/2

then you know the equation would be something like y=1/2 x but then you need to decide the intercept

1/2 of x when x=6 is 3, but Y =5

so you know the intercept is 2..

so the linear f(x) would be y=1/2x+2

done

A colony of 100 bacteria doubles in size every 60 hours what will the population be 189 hours from now

Answers

By evaluating an exponential equation, we will see that the population after 189 hours will be 888 bacteria.

What will be the population in 189 hours from now?

We know that initially we have a total of 100 bacteria, and it doubles in size every 60 hours, then the population can be modeled with the exponential equation.

p(x) = 100*(2)^x

Where x is groups of 60 hours, we can rewrite:

x = t/60h

Where t is the amount of hours, and rewrite the equation as:

p(t) = 100*(2)^(t/60h)

The population in 189 hours from now willbe:

p(189 h) = 100*(2)^(198 h/60h) = 887.7

The population is 888 (where we rounded the value)

Learn more about exponential equations at:

https://brainly.com/question/11832081

#SPJ1

4^{x} = 2^{x-3}[/tex]

Answers

Answer:

X 3y 2

Step-by-step explanation:

Simplify 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2

Answers

Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4

Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:

Group together like terms:

2h + (-4h) = -2h

3h^2 + f^2 = 3h^2 + f^2

-4g^4 + 11g^4 = 7g^4

This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4

Combine the constants:

3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4

Combine the like terms:

-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h

So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h

After simplifying, the expression we'll get,  2h+3h^2+7g^4+6f^2-4h.

To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.

After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.

For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.

Other terms will remain as it is.

2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h

2h+3h^2+7g^4+6f^2-4h

Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h

Read more about the algebraic expression:

https://brainly.com/question/27807105

Here is a rectangle with length 5 units and width 2 units.

1. What is the area of the rectangle?

2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.

3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.

Answers

The area of the rectangle is 10 square units.If the rectangle is dilated from point A by a scale factor of 2, the area of the image is 40 square units.If the rectangle is dilated from point A by a scale factor of 3, the area of the image is 90 square units.What is scale factor?

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

The area of the rectangle =L * W

A = (5 x 2)

A = 10 square units.

If the rectangle is dilated from point A by a scale factor of 2, the area of the image:

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

Learn more about area on

https://brainly.com/question/29082330

#SPJ1

interpret the quote never confuse the size of your paycheck with the size of your talent

Answers

Note that the quote given above simply means that an employee or worker should never equate how much they earn to how much they are actually worth. This can take on different meanings depending on whether you want to assign a positive connotation to it or a negative one.

What is a quote in Literature?

A quote is a verbatim reproduction of someone else's words that is generally surrounded by quotation marks and attributed to the original author or speaker.

Quoting implies paraphrasing someone else's remarks and citing the source. You must ensure the following when quoting a source:

The quoted content is surrounded by quotation marks or shown as a block quote.The original author is properly credited.The wording is exactly the same as the original.

Learn more about Quotes:
https://brainly.com/question/24769951
#SPJ1

how much money will it cost you to drive 100.0 miles if your car gets 25.70 miles per gallon and gas costs $3.309/gallon?

Answers

It will cost $12.87 for driving 100 miles.

Based on the given problem, we have identified the given information as follows:

25.70 miles per gallon100 miles as the distance traveled by car$3.309 as the cost of gasoline per gallon

Then, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula

         [tex]C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon[/tex]

By substituting the given to the variable given in the formula above, we have,

            [tex]C = \frac{100}{25.70} * 3.309[/tex]

           C = $ 12.87

The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.

Read more about distance:

https://brainly.com/question/2854969

#SPJ4

a culture of yeast doubles in size every 20 minutes. the size of the culture is now n0. find its size in 12 hours. how do you solve these problems? sugar is put in a large quantity of water and the mixture is stirred. after 2 minutes, 50% of the sugar has dissolved. how much longer will it take until 90% of the sugar has dissolved?

Answers

How much longer will it take until 90% of the sugar has dissolved can be obtained by the equation t = -(log(1-0.9))/(log(0.5)) + 2

1. To find the size of a yeast culture after 12 hours, you can use the formula: size = n0 * 2^(t/20), where t is the time in minutes. In this case, t = 12*60 = 720, so the size of the culture after 12 hours would be n0 * 2^(720/20) = n0 * 2^36.

2. To find how long it takes for 90% of the sugar to dissolve, you can use the formula: t = -(log(1-x))/(log(0.5)), where x is the percentage of sugar dissolved and t is the time in minutes. In this case, x = 0.9 and we know that 50% of the sugar has dissolved in 2 minutes, so we can find t by plugging in the values and solving for t: t = -(log(1-0.9))/(log(0.5)) + 2.

To learn more about Percentages

Visit; brainly.com/question/29306119

#SPJ4

Pre-Quiz th Percent - Item 35684 Guided Learning Practice A baseball team played 55 games this year. They won 33 games and lost 22 games. What percent of games did they lose? Po​

Answers

The percentage of games they lose is 40%.

How do you calculate percentage in different ways?

The most basic approach is to divide a number by the total and then multiply by 100. For example, if you have 10 out of a total of 25, you would divide 10 by 25 to get 0.4, and then multiply by 100 to get 40%.

Another way to calculate percentage is to use proportion. This involves setting up a proportion with the given numbers and the percent you want to find on one side and 100 on the other side. For example, if you have 10 out of 25 again and want to find the percent, you would set up the proportion 10/25 = x/100. Solve for x and you get 40%.

Another method is to use a percentage calculator. This is a simple tool that allows you to enter two numbers and it will automatically calculate the percentage for you.

Finally, if you need to calculate the difference between two percentages, you can subtract the smaller percentage from the larger one. For example, if you have 10 out of 25 and 15 out of 30, you would subtract 40% from 50% to get 10%.

All of these methods can help you calculate percentages quickly and easily.

Total number of games team played = 55 games

number of games they won = 33

number of games they lose = 22

The percentage of games they lose = 22/55 x 100 = 40%

To learn more about percentage refer to:

brainly.com/question/19247356

#SPJ1

pls solve this I will give Brainly

Answers

Answer:

42

Step-by-step explanation:

(2x + 3) = 7

7x7=49

note:the other 7 is from the exponent 2

49-7=42

PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x = 2

Step-by-step explanation:

18/9=2

9x2=18

os this scam orrr.... what?

Answer:

x=2

Step-by-step explanation:

9x=18

To solve for X we need to have just X on one side. We can do this by dividing each side by 9. Which is equal to the original because we are dividing by the same thing on both sides.

9x/9=18/9

This simplifies to x=2

We can check by putting 2 back into the equation:

9(2)=18

And that is true so we know we have a correct answer.

What is the value of x? enter your answer in the box. x = cm

Answers

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

For more questions on Equation

https://brainly.com/question/25678139

#SPJ4

The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36

Answers

Answer: x = 11

Step-by-step explanation:

2(x+7) = 36

x + 7 = 18 <-- dividing both sides by two

x = 11

There are multiple different paths you can take in order to get this answer, all equally simple. You could open up the bracket, move to one side, and then divide, however if you were to have the answer in the most efficient and least amount of steps I would suggest doing this.

explain briefly how the statistic can be used to make inferences about the parameter to test the claim

Answers

In statistics, we use samples to make inferences about population

That is the great advantage of the whole role of distribution. Once you know a particular situation or experiment, that you can associate to one specific distribution and compute parameters, you can obtain from a relative smaller quantity of data and  with good approximation, inferences about the whole population.

Statistical inference is the method of using data analysis to infer characteristics of a probability distribution.

Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.

statistics

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Learn more about statistic here :-

https://brainly.com/question/29093686

#SPJ4

there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain

Answers

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - [tex]\frac{3}{4}X[/tex]

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = [tex]X-\frac{3}{4}X+\frac{1}{2}[/tex] quarts

total liquid = [tex]\frac{X+2}{4}[/tex] quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

To learn more about simplification of expression link is here

brainly.com/question/14526172

#SPJ4

CONNECTING CONCEPTS Find the value of x such that the quadrilateral is a parallelogram. Then find the perimeter of the parallelogram. Explain.​

Answers

The value of 'x' must be 4 units such that the quadrilateral is a parallelogram and the perimeter of the parallelogram is 40 square units.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know the opposite sides of a parallelogram are equal.

Therefore, 3x - 1 = x² - 5 and 2x + 1 = x² - 7.

x² - 5 - 3x - 1 = 0.

x² - 3x - 4 = 0, solving for x we have x = 4.

And,

2x + 1 = x² - 7.

x² - 7 - 2x - 1 = 0.

x² - 2x - 8 = 0, solving for x we have x = 4

(Negative values are inadmissible).

The perimeter of the parallelogram is 2×(the sum of the opposite sides).

= 2(3x - 1 + 2x + 1).

= 2(5x).

= 2×5×4.

= 40 square units.

learn more about parallelograms here :

https://brainly.com/question/29147156

#SPJ1

Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight

Answers

Classification of all the angles in four different ways along with name are:

1. ∠ABC, ∠CBA, ∠B, ∠1 and the name is right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 and the name is obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 and the name is straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4 and the name is acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 and the name is acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6 and the name is obtuse angle.

Figure is attached.

Classification of the all the angles in the attached figure in four different ways with their names are:

1. Different name of the angles : ∠ABC, ∠CBA, ∠B, ∠1 .

Measure of the angle is 90°, it is right angle.

2. Different name of the angles : ∠DEF, ∠FED, ∠E, ∠2

Measure of the angle is more than 90°, it is obtuse angle.

3. Different name of the angles : ∠LMN, ∠NML, ∠M, ∠3

Measure of the angle is 180°, it is straight angle.

4. Different name of the angles : ∠XYZ, ∠ZYX, ∠Y, ∠4

Measure of the angle is less than 90°, it is acute angle.

5. Different name of the angles : ∠KLM, ∠MLK, ∠L, ∠5

Measure of the angle is less than 90°, it is acute angle.

6. 2. Different name of the angles :  ∠RST, ∠TSR, ∠S, ∠6

Measure of the angle is more than 90°, it is obtuse angle.

Therefore, as per the classification of the given angles different ways to represent them are:

1. ∠ABC, ∠CBA, ∠B, ∠1 , right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 , obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 , straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4, acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 , acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6  ,obtuse angle.

The above question is incomplete , the complete question is :

Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.

Attached figure.

learn more about angle here

brainly.com/question/28451077

#SPJ4

on a certain hot summer day 128 people used the public swimming pool. the daily prices are $1.50 for children and $2.00 for adults. the receipts for admission totaled $223.00. How many children and how many adults swam at the public pool that day?

Answers

The number of children and adults that swam in the pool that day is given as follows:

Children: 66.Adults: 62.

How to obtain the number of children and adults?

The variables to the system of equations are given as follows:

Variable x: number of children.Variable y: number of adults.

128 people used the public swimming pool, hence:

x + y = 128.

x = 128 - y.

The receipts for admission totaled $223.00, hence:

1.5x + 2y = 223.

We have that x = 128 - y, hence the number of adults is obtained as follows:

1.5(128 - y) + 2y = 223

0.5y = 31

y = 62.

Then the number of children is obtained as follows:

x = 128 - 62

x = 66.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

What are two additional questions that would be meaningful to drill down into with this same dataset, given what you've seen so far?

Answers

The  two additional questions that would be meaningful to drill down into with this same dataset is that What type of variation occurs within my variables? and What type of covariation occurs between my variables?.

The term data set is defined as a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.

Here we need to find the two additional questions that would be meaningful to drill down into with this same dataset,

As per the definition we have know that the question that need to be asked over the data set are listed as follows:

They are type of variation occurs within my variables and the type of covariation occurs between my variables.

To know more about dataset here.

https://brainly.com/question/24058780

#SPJ4

a 16 pound bag of kitty kibbles is . an -pound bag of feline flavor is . which statement about the unit prices is true?

Answers

If a 16 pound bag of Kitty Kibbles is $20.80 and  8-pound bag of Feline Flavor is $11.20  then the true statement about the unit price is (D) Kitty Kibbles has a lower unit price of $1.30/pound .

the cost of the 16 pound bag of Kitty Kibbles is = $20.80  ;

So , the cost of 1 pound bag of Kitty Kibbles is = $20.80/16

= $1.3  ;

the cost of 8 pound bag of Feline Flavor is = $11.20  ;

So , cost of 1 pound bag of Feline Flavor is = 11.20/8 ;

= $1.4  ;

on comparing both the unit prices , we get that the per unit cost of Kitty Kibbles is lower and the price is $1.3  ;

Therefore , the true statement is (D) Kitty Kibbles has a lower unit price of $1.30/pound .

The given question is incomplete , the complete question is

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true ?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

Learn more about Unit Price here

https://brainly.com/question/945712

#SPJ4

A walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 041. Calculate how far he is from the monument at this point to 2 decimal places.

Answers

In a case whereby  walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 0.41 the distance from the monument at this point is 5.63km

How can the the distance be calculated?

The concept that will be use is bearing. A bearing is the angle, measured in degrees clockwise from north, in mathematics. In most cases, bearings are specified as three-figure bearings. For instance, the standard notation for 30° clockwise from north is 030°.

From the diagram we can see that the interpretation gave us a triangle and from trigonometry,

Cos θ= adjacent / hypothenus

Then  Cos 41 = XY/XM

Cos 41 = XY/7.5

0.75 = XY/7.5

0.75 *7.5 =5.63km

Learn more about bearing at:

https://brainly.com/question/22719608

#SPJ1

while walking in the country, you count 28 heads and 78 feet in a field of pigs and chickens. how many of each animal are there?

Answers

Answer:

There are 11 pigs and 17 chickens.

Step-by-step explanation:

Lets let

p = number of pigs

c = number of chickens

Assuming each animal has only one head, then

p + c = 28

And assuming that pigs have four feet and chickens have two feet:

pig feet = 4p

that is, 4 feet for each pig, and



chicken feet = 2c

right? two feet per chicken.



All the feet are:

4p + 2c = 78

Now we have two equations and two unknowns, so we can solve this "system of equations". You can use substitution or elimination method (or even graphing or matrices) I will run through elimination method.

Multiply p+c=28 times -2.

-2p + -2c = -56

then add the whole equation to the other equation. Do this adding vertically, from top to bottom.

-2p + -2c = -56

4p + 2c = 78

_____________

2p = 22

Divide by 2 to solve

p = 11

There are 11 pigs.

Remember,

p + c = 28

11 + c = 28

subtract 11

c = 17

There are 17 chickens.

(6n+ 3)(6n- 4) find each product

Answers

The product of the two expressions is equal to 36n²-6n-12

What Is Distributive Property?

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The expression (6n+ 3)(6n- 4)

Using the distributive property of multiplication we get

(6n+ 3)(6n- 4)

6n(6n-4)+3(6n-4)

Now arranging the like terms and again applying the distributive property we get

36n²-24n+18n-12

36n²-6n-12

Hence, The product of the two expressions is equal to 36n²-6n-12

Learn more about the distributive property here:

https://brainly.com/question/5637942

#SPJ1

question is in the picture below ​

Answers

Answer:

C

Step-by-step explanation:

Name the true solution(s) to the equation. name the extraneous solution(s) to the equation.

Answers

The true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.

To find the true solution(s) to the equation, we need to solve for x and check if the obtained solutions satisfy the original equation. The extraneous solution(s), if any, will be the solutions that do not satisfy the original equation.

To solve the equation, we can start by isolating one of the square root terms. Rearranging the equation, we have:

[tex]\sqrt{x + 5} = 3 + \sqrt{x}[/tex].

The equation can be evaluated as:

[tex]\sqrt{x + 5} - \sqrt{x} &= 3 \\(\sqrt{x + 5})^2 &= (3 + \sqrt{x})^2 \\x + 5 &= 9 + 6\sqrt{x} + x \\6\sqrt{x} &= -4 \\\sqrt{x} &= \frac{-2}{3} \\x &= \frac{4}{9}\end{align*}[/tex]

Therefore, the true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.

To learn more about extraneous solutions;

https://brainly.com/question/32777187

#SPJ12

The complete question:

Solve the following equation and identify the true solution(s) as well as the extraneous solution(s):

[tex]\sqrt{x + 5} - \sqrt{x} = 3[/tex].

The equation P = 2(l + w) can be used to find the perimeter P of a rectangle with length l and width w. Solve the equation for w to produce a formula for finding the width of a rectangle given its perimeter and length.

The formula is w =

Answers

Answer:

[tex]w = \frac{P - 2l}{2}[/tex]

Step-by-step explanation:

In this case, we will just simplify the given formula of the perimeter and re-arrange it to get the value of w.

[tex]P = 2(l + w)\\P = 2l + 2w\\P - 2l = 2w\\\frac{P - 2l}{2} = w[/tex]

Two car leave from the ame location but travel in the oppoite direction. The firt car travel an average of 50 mi/hr and leave 15 min before the econd car, which travel an average of 55 mi/hr. How long will each car travel before they are 200 mi apart?

Answers

The first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

Let x = time in hours for the first car and y = time in hours for the second car. Since the two cars are traveling in opposite directions, we know that the rate of the cars' combined travel is the difference between their two rates. So, we can create the expression:

50x - 55y = 200

We can also create a second expression using the amount of time that passed between the two cars:

x - y = 0.25

We can solve this system of equations with substitution. Let's substitute the second equation into the first:

50x - 55(x - 0.25) = 200

Simplifying, we have:

5.25x = 200.25

Now, we can isolate x:

x = 200.25/5.25 ≈ 38.2 hours

We can use this value to find y. We know that x - y = 0.25, so we have:

y = x - 0.25 = 38.2 - 0.25 = 38 hours

Therefore, the first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

Learn more about system of equations here:

https://brainly.com/question/12895249

#SPJ4

A square has a diagonal that is 22 m long. What is the area of the square?
If necessary, round your answer to the nearest whole number.

Answers

a diagonal in a square is equal to the hypotenuse of the right triangle that is created by drawing the diagonal.
If it is a right triangle, we can use the Pythagorean theorem.
a^2 + b^2 =c^2
If a = b (sides of a square are equal) then we can do
2( a^2) =22^2
2 (a^2) = 484
Divide by 2
a^2 = 242
Because Area of a square = length^2, and in this case a = the length, the area is 242.

You spend $7.50 on a pair of gloves. Now you have $8.00 how much money did u have originally

Answers

Answer:

15.50$

Step-by-step explanation:

7.5+8= 15.5

Other Questions
Greg calculated that he has to drive at least 50 miles per hour on the highway to get to his destination on time. What number line shows the solution set to this inequality a student places a drop of food coloring into two water samples. her observations are shown in the table. which statement best explains the observations in the table? (1 point) the african antelope known as a springbok will occasionally jump straight up into the air, a movement known as a pronk. the speed when leaving the ground can be as high as 8.2 m/s. how many seconds will it stay in the air? Is the yeast we use for baking bread considered "alive"? Students in biology class made the claim that yeast is a living thing. To find evidence, they were given a beaker containing warm water (22oC). To that, they added one package of dry bakers yeast and 0.5 grams of sugar. After waiting 20 minutes, the students made the observations recorded in the data table seen here. list the risk for the entrepreneur? how do these risks relate to jim? using your knowledge about bicycles and the people that ride them, do you think there is a market for an automatic derailleur for a 15-speed bike? explain why or why not. What action does Mama take so we see she believes her future will remain in the apartment? suppose the mean and standard deviation are 74.04 and 9.75, respectively. if we assume that the distribution of ages is mound-shaped and symmetric, what percentage of the respondents will be between 64.29 and 93.54 years old? Please help I need the answers ASAP! what are the largest known structures in the universe? On Jupiter, g = 25N/kg. Calculate the energy gained when the same 2kg mass is raised by 3m. economic and political interdependence of nations; stop spread of totalitarian governments the functions f and g are differntiable for all real numbers, explain why there must be a value c for 1 < c < 3 Essay writingThe danger ofdanger of peer pressure Forces at WorkThe spring-loaded cart is a simple system, which can make it easier toanalyze and apply the scientific ideas observed to a larger, morecomplex system. A skateboarder is another simple system. Askateboarder would not get anywhere without forces. Since theskateboard does not have a motor, the skateboarder must be the onethat supplies the power to make it go. But how does this push causethe motion? Why does the skateboarder have to continually push theskateboard to keep it in motion?Similar cause-and-effect relationships involved in the spring-loadedcart can be applied to your model of the fire extinguisher go-kart.What cause-and-effect relationships identified inthe spring-loaded cart can be applied to therocket sled?EffectCauseClick toadd textCauseClick toadd textClick toadd textEffectClick toadd text after a structure has been built, altered, or repaired, what does a city building inspector issue to indicate that the structure has been inspected and found satisfactory? Let p and q represent the following statements. p: Brad Pitt is governor. 9 There are not 51 states in the U. S. Express the following statement symbolically. There are 51 states in the U. S. The statement written symbolically is Why do economies have to create economic goals and answer the 4 fundamental economic questions? which is true for the possible types of comparisons using sequences of small subunit rrna molecules? how ghana can sustain her educational system in the absence of foreign funding which of the following children would have been placed in the carrie steele orphan home in atlanta? group of answer choices