Anna and Hannah are reading the same book. At the beginning of the month, Anna was on page 29 and Hannah was on page 7. Anna will read 9 pages per day and Hannah will read 11 pages per day. Let

A

A represent the page of the book that Anna is on at the end of

t

t days into the month, and let

H

H represent the page of the book that Hannah is on at the end of

t

t days into the month. Write an equation for each situation, in terms of

t

,

t, and determine whether Anna or Hannah is farther along in the book after 14 days.

Answers

Answer 1

Answer:

Hannah

Step-by-step explanation:

Anna: Page 29 + number of pages read t days into the month

number of pages read t days in the month = 9 t times = 9 * t

Anna: 29 + 9t

Hannah: 7 + 11t using the same logic

14 days in: t = 14

Anna: 29 + 9*14 = 155

Hannah: 7 + 11 * 14 = 161

Hannah is further along

Answer 2

The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.

How to Apply Algebraic Equation?

The equation we would write for each situation in terms of t are explained below:

For Anna:

A = 29 + 9t

For Hannah:

H = 7 + 11t

After 14 days:

For Anna: A = 29 + 9 * 14 = 29 + 126 = 155

For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161

After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.

Learn more about Algebraic Equation on:

https://brainly.com/question/4344214

#SPJ3


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Select all values equal to the fraction below:

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option 1 and option 3

MARKING BRAINLIEST PLEASE HELP

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-15x + 210 = 90 (I got 210 because it’s the distance the line is on now)

So -15x = 90 - 210

-15x = -120
Divide both sides by -15 that equals 8 so the your answer is but if it’s the time before the draining began (I will assume at 0) then the answer would be 3 + 8, it will be 11 hours for it to reach 90

Can someone please answer this no bots answer this please… I’ll give you brainliest

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Answer:

Part one:

Y=13.5x+1

Part two:

Y=12x+40

Part three:

After 15 seconds Sam: 203.5ft Alice:220ft

Alice won

Step-by-step explanation:

27.if 2 lbs of rice is $3. How much will 15 lbs of rice be?​

Answers

Answer:

2 lbs rice= $3

15 lbs rice= x

x= 15×3/2

=45/2=22.5

For $22.5 will be 15 lbs of rice .


A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?

Answers

2:5 = 2+5=7
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125

Pls explain how to solve this elimination problem!!

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Multiply the second equation by -2. This will cancel out the y

On a coordinate plane, 2 lines are parallel to each other.This system of equations has .

PLS HELP

Answers

Answer:

No solutions

Step-by-step explanation:

The lines never meet, there for have no intersection point leading to no solution for the system of equations.

Hope that helps

1. 5 3/4 + 5/6 + 2 1/2
2. 3 1/3 - (5 - 1 5/6)

Answers

Ok done. Thank to me :>

find the ratio


3 ounces cost $2.73

Answers

Answer:

1 : $0.91

Step-by-step explanation:

divide 3 by 3

divide 2.73 by 3

1:0.91

7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB​. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment

Answers

A rhombus can have the same shape and dimension as a square or a

parallelogram, therefore, all rhombuses are not similar.

A step in the proof that have flaws is step 3.

Reasons:

By reading through the given steps, we have, the first step that is incorrect

is step 3.

Step 3: The requirement for the similarity of two figures based on the

proportionality of the corresponding sides of the figures is related with

triangles as given by the triangle proportionality theorem.

This is so because, the lengths of the sides of a triangle depends on the

opposite interior angle, while the side of a rhombus can have a

combination of large length and and acute angle.

Two rhombuses that have proportional sides may be dissimilar,

because they can have different interior angles.

Therefore;

The step in Tyler's proof that have a flaw is Step 3

Learn more about similarity between geometric figures here:

https://brainly.com/question/10270676

What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)

Answers

Answer:

A. y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Given:

x1 = 1

y1 = 4

slope (m) = 3

Solution:

y - y1 = m ( x - x1 )

y - 4 = 3 ( x -1 )

y - 4 = 3x - 3

y = 3x - 3 + 4

y = 3x + 1

What is 95/18 as a decimal?

Please include an explanation and the correct answer!

I will give brainliest to the best answer!

I need it in the next 5 mins!

Thank you!

Answers

Answer:

5.27777777

repeating 7s forever

rounded to 2 decimal places is:. 5.28

Hey there!

In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)

Here’s the formula

a/b = a ÷ b = [decimal form]

ANSWERING YOUR QUESTION

95/18

= 95 ÷ 18

= 5.277778 ≈ 5.3 or 5.28

Therefore, your answer is: 5.277778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CD’s?


b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.

Answers

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x

Solve the quadratic equation given.
6x2 - 24 = 0

Answers

[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please

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Answer:

The solution is given in the photo

if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)

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Answer:

....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

Solve. \sqrt{8x} -8-8=4

Answers

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

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Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place

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#CARRYONLEARNING

..LOVEUALL...

Answer:

The answer is in the screenshot.

Step-by-step explanation:

In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is

Answers

14 boys and 11 girls. The ratio would be 14:11

The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?

Answers

Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?

Answers

Answer:  115 Adults and 120 Children

Step-by-step explanation:

We have 2 unknowns:  A is the number of Adults and C is the number of children.

We'll need at least two equations to solve for two unknowns.

One equation is easy:  We know that A + C = 235, the total number of people who entered the park.

The second equation comes from the second fact that was provided:  total admission fees were $640.  We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:

4A + 1.5C = $640  [$4 * the number of adults plus $1.5 * the number of children]

Rearrange the first equation for either variable, A or C.  I picked A:

A = 235 - C

Now use this value for A in the second equation:

4A + 1.5C = $640

4*(235-C) + 1.5C = $640

-2.5C + 940 = 640

-2.5C = -300

C = 120 children

To find A:

A = 235 - C

A = 235 - 120

A = 115 adults

===

Double check to see if these value work:

                    C       A

Fee($)          1.5      4

People        120    115

Income ($)   180   460

Total = 180 + 460 = $640

It works.  120 Adults and 115 Children.

Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?

Answers

Answer:

Muhammad will be able to make the scarf

Step-by-step explanation:

If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches

what is the equation of the line that passes through the point (0, -2) with a slope of 2

Answers

Answer:

Step-by-step explanation:

You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.

This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!

y = 2x -2

How do you find the inverse of the exponential growth function?

f(x)=9.16(1.0054)^x


I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c

Answers

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

Need help on HS geometry

Answers

Answer:

See below

Step-by-step explanation:

AB is a midsegment.

Property of the midsegment is midsegment is half the length of the parallel side of the triangle:

2AB = 88AB = 44

And

3x - 4 = 443x = 48x = 16

If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps

Answers

Answer:

111 minutes and 40 sec

Step-by-step explanation:

11x10=110 minutes

10 sec x 10 = 100 seconds = 1 minute 40 sec

110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds

On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday

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Answer:

0.808 you find the difference between the two numbers

help please RSM problem -need anwser please

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Answer:

1/8 + 1/4 = 3/8

Step-by-step explanation:

Help!!
So I think that someone is tracking my truck with an apple airtag but I don't know for sure. The only apple product I have is an iPad and I don't know how to check if an airtag is near by!!

Answers

Answer:

well....

Step-by-step explanation:

trow the apple

If CD = 6 and the perimeter of ABC is 41, what is the perimeter of ABE?​

Answers

Answer:

53.

Step-by-step explanation:

DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.

Therefore CE = 12.

AB + BC + AC = 41 (given perimeter of ABC)

AB + BC + AE + 12 =   perimeter of ABE.

But AE = AC   ( given), so

AB + BC + AC + 12 = perimeter of ABE

Now we know that AB + BC + AC = 41 , so

41+ 12 = perimeter of ABE.

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