Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?

Answers

Answer 1
6739-77(7) =67997 +66
Answer 2

The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.

Given that,

An equation is,

- 4(2x - 3) = 36

Here, Jake's solution to the equation - 4(2x - 3) = 36 is,

-4(2x - 3) = 36

Apply distributive property,

-8x + 12 - 36

- 8x + 12 - 12 = 36 - 12

Subtract 12 on both sides,

-8x = 24

x = - 24/8

x = - 3

So, the solution x = -3 represents a single value of x that is equal to -3.

Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.

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Related Questions

Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies takes one cup of milk and four cups of flour. The baker has 9 cups of milk and 16 cups of flour available. He makes $2.50 profit per tray of chocolate chip cookies and $2 profit per tray of oatmeal raisin. How many trays of each type of cookies should be make to maximize his profit?

Answers

Step-by-step explanation:

this is a linear programming problem.

the objective is to maximize profit

let the chocolate be x

and cookies be y

Maximize

2.5x+2y=P

constraint milk

3x+y=9------------------1

constraint flour

2x+4y=16----------------2

solving 1 and 2

3x+y=9

2x+4y=16

multiply 1 by 2 and 2  3 to eliminate x we have

  6x+2y=18

 6x+12y=48

-0-10x=-30

10y=30

y=30/10

y=3

put y= 3 in eqn 1 we have

3x+3=9

3x=9-3

3x=6

x=6/3

x=2

two trays of chocolate

three trays of cookies

2.5x+2y=P

2.5(2)+2(3)=P

5+6=P

P=$11

A pet store sells mice, reptiles, and birds.
Let event A = A customer buys a mouse.
Let event B = A customer buys a bird.
What does P(A or B) = 0.25 mean in terms of this problem?
A. Buying a mouse and buying a bird are mutually exclusive events.
B. The probability that a customer buys neither a mouse nor a bird is
25%.
C. The probability that a customer buys both a mouse and a bird is
25%.
D. The probability that a customer buys either a mouse or a bird is
25%.

Answers

D. the probability that a customer buys EITHER a bird or a mouse.

The correct answer is:  The probability that a customer buys either a mouse or a bird is 25%.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Given that, a pet store sells mice, reptiles, and birds,

Let event A = A customer buys a mouse.

Let event B = A customer buys a bird.

We need to tell that,

What does P(A or B) = 0.25 mean in terms of this problem,

So, here the statement given is saying that the 0.25 is the probability that a customer will buy either a mouse or bird,

Hence, the correct answer is:  The probability that a customer buys either a mouse or a bird is 25%.

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What is the value of x? Enter only the number in the box! Help Asap​

Answers

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

100 points if you do this correctly. Just simply tell me where the words need to be in struggling ;ccc (i can't give brainliest so reward is a bumblebee).

Answers

Answer:

one: perpendicular

2 : hypotenuse

Step-by-step explanation:

What is the degree of rotational symmetry for the following figure?

Answers

Answer with step-by-step explanation:

For a figure or object that has rotational symmetry, the angle of turning during rotation is called the angle of rotation. Example: when a square is rotated by 90 degrees, it appears the same after rotation. So, the angle of rotation for a square is 90 degrees.

write your answer here

Answers

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

help me please ! fast

Answers

Answer: q-56  > 0

Step-by-step explanation:

STEP 1

Equation at the end of step 1

 (q + 12) -  2 • (q - 22)  < 0

STEP 2

Equation at the end of step 2

56 - q  < 0

STEP 3

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

q-56  > 0

Given that line m is parallel to line r and m = (3y +85), find
m

Answers

Answer:

m=(3y+85)

Step-by-step explanation:

What percent of your friends like playing dodge ball if 5 out of 8 of them like playing dodge ball?

Answers

Answer:

62.5% or 63%

5 ÷ 8 = 0.625

0.625 = 62.5% or 63%

Answer:

Same situation as before, thanks for points.

Step-by-step explanation:

This is an opinion based question so plz don't delete i would actually like to know what people think.
Most of the math we learn in school do you actually think that we use half of it?
Also tell me how to give brainliest in your answer so I can give full points
please actually answer the question this is worth 50 points and i dont want to waste them

Answers

Answer:

Some subjects are more important than others. You have to be working in a field where the concepts you learn in school.

I'd say that everything you learn in middle school and Algebra 1 + 2 , maybe a little of geometry you'll use at some point in your life.

Step-by-step explanation:

Everyone has asked themselves: When will I use math? Well, hundreds of careers use skills learned in high school math on a daily basis. The truth is virtually every career you could choose will build on the basic skills learned in High School Math.

But there are a number of craft and fine arts careers that do not require math skills or involve using them regularly, such as being a painter or sketch artist. Craft and fine artists produce original works that will be displayed or sold, and they may work with a range of materials, such as paint, glass or ink.

To conclude I might say that math is important and everyone should know more than just some basic skills in math.Life is long and sometime harsh for most of us and not always we get in life what we want,probably we will end up doing a job that it was not our dream job.

Or our preferences might change depending on different aspects of life.So knowing a 'little bit' from every subject we do in school is not a bad thing,at the end we know all that greatest things are achived will a hard work!So we should learn as much as we can! Math especially!

And all our hard work will be payed at the end,just remember this!

:)

One-third of a number is 7. Find the number.

Answers

Answer:

21

Step-by-step explanation:

21/3 = 7

the answer to ur question is 21

Your friend has owned a dog for 9 years. This is one year less than twice as long as he has owned the cat. How long has your friend owned a cat?​

Answers

Answer:

17 years

Step-by-step explanation:

hope it helps:)

Answer:

20 Years.

Step-by-step explanation:

As you could see my friend owned a dog for 9 years, and it reads that it is one year less which is 10 years since 10-1 (aka one year) equals 9 so anyways we know it's 10, and it's twice as long 10 x 2 (aka twice). which is how I got my answer... 20!  

In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?

Answers

Answer: 18.5/11=37/22 or 1.68181818181...

Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?

Answers

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

4+c (greater than or equal to sign, > with a line underneath) 30

Which number completes the table for y=x^2?

-9
9
6
-6

Answers

Answer:

9

Step-by-step explanation:

Plug-in -3 into y=x^2 to get 9.

9. Plug in the -3 to the x so you can solve the exponent.

Please help me! Two pictures!

Answers

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

Answer right with proof please.

Answers

Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?

Answers

Answer:

$11.33

Step-by-step explanation:

Keisha will own 307 shares after the split. and the amount of check is 11 dollar.

Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was

$33.99.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+ 2 = 5

Now, let x be the number of shares post split

Then;

3/2 = x/205

x = 3/2 (205)

x = 615/2 = 307.5

Therefore, Keisha will own 307 shares after the split.

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im literally crying because im so stressed and i don't understand if you know the answer please help i will do anything :(

Answers

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry

Answers

Answer:

The answer is A.Cos 57.

Step-by-step explanation:

Took the test..

After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share? Thank you so much i'll mark brainliest!

Answers

Answer:

Around $650

Step-by-step explanation:

The original price of a share is $540.

Given that, Seraj Food Industries fell by 40%, to $324 a share.

What is the percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let the original price of share be x.

x - 40% of x = 324

⇒ x - 40/100 × x = 324

⇒ x - 0.4x = 324

⇒ 0.6x = 324

⇒ x = 324/0.6

⇒ x = 540

Therefore, the original price of a share is $540.

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Question 6

1 pts

If f(x) = 0.41x is a function that represents the cost to mail

x number of letters, what is a reasonable domain for f?

O all real numbers

o all real numbers greater than 0

O the set of all whole numbers

o the set of all integers

Answers

Answer:

B

Step-by-step explanation:

The domain of the function 'f' represents  the set of all whole numbers.

What is a function?

A function is a relation between two sets. One set is called domain of the function and the other one is called range range of the function.

Given function is: f(x) = 0.41x.

f(x) represents the cost of mail.

Here, x represents the number of letters in the mail.

It can't be real numbers because, real numbers consist of negative numbers, fractions, etc.

It can not be integers, real numbers consist of negative numbers.

Therefore, the domain of must be all whole numbers.

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im bought 10 used books at the yard sale How much did she pay? Did you use addition or multiplication to solve this problem? Why? Also the price of one book is 75 cents

Answers

It’s 7.5 because 10x0.75 is 7.5

THIS IS STATISTICS** Are physically fit people less likely to die of cancer? An article in the May 2002 issue of "Medicine and Science in Sports and Exercise" reported results of a study that followed 25,892 men aged 30 to 87 for 10 years. The most physically fit men had a 55% lower risk of death from cancer than the least fit group. What is the population of interest and the sample in this scenario? Write your response using complete sentences. plz help

Answers

Answer:

In this case the population of interest is the set of all men aged 30 to 87.

In this case the sample is the set of 25,892 men aged 30 to 87.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

In this case the population of interest is the set of all men aged 30 to 87.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

In this case the sample is the set of 25,892 men aged 30 to 87.

Create a polynomial with two terms and a degree of 4

Answers

hey mate☺️☺️ here's your answer......

4x'4 + 1

When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)

Answers

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Solve the multistep inequality.
4x + 3 < 5x − 6

Answers

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

~

Answer:

x > 9

Step-by-step explanation:

4x + 3 < 5x − 6

-x < -9

x > 9

You Start At (4,-2) You Move Left 1 Unit And Up 1 Unit. Where Do You End?

Answers

If you move left 1 unit and up 1 unit then you will end at (3,-1)

Answer:

(3,-1)

Step-by-step explanation:

this is because you have to use the equation [tex]y=-1x+2[/tex] which will bring you from (4,-2) to (3,-1)

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