A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.
Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.

What is the constant of proportionality?
miles per gallon

Answer:

19

Step-by-step explanation:

2d + 3      d = 8

2(8) + 3

16 + 3

19

Answer:

We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.

multiplying fraction by a number

Let's solve real-world problems about fractions of a number.

Word Problem Examples

cookies

Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?

What is the problem asking us to do?

That's right!

We need to figure out what 1/3 of 24 is.

1/3 of 24 is the same as this:

24 × 1/3 = ?

First, multiply 24 by the numerator:

24 × 1 = 24

Then, divide the product we got by the denominator:

24 ÷ 3 = 8

✅ Now we know that she gave 8 cookies to her neighbor.

Here are more questions about this problem:

Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?

The problem tells us to figure out two things:

- the number of cookies that Jane gave to her parents,

- the number of cookies that Jane ate.

But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.

She started with 24 cookies and gave 8 cookies away.

Let's subtract:

24 - 8 = 16 cookies

So, Jane had 16 cookies left.

How many cookies did Jane's parents get if she gave them 3/4 of 16?

3/4 of 16 is the same as this:

16 × 3/4 = ?

First, multiply 16 by the numerator:

16 × 3 = 48

Then, divide the product we got by the denominator:

48 ÷ 4 = 12

✅ Jane gave 12 cookies to her parents.

Now, let's find out how many cookies Jane ate.

We know that Jane ate all the cookies that were left.

She had 16 cookies. Then, she gave 12 to her parents.

How many are left?

We need to subtract to figure this out:

16 - 12 = 4

✅ Jane ate 4 cookie

She baked 48 cookies in total as obtained by forming a numerical expression of the statement.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that, Angela baked x cookies.

She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.

∴ x - (1/3)x - (2/3)×(5/8)x = 12.

x - (1/3)x - (5/12)x = 12.

(2/3)x - (5/12)x = 12.

(8x - 5x)/12 = 12.

3x = 144.

x = 48

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

The actual height is 720 feet.

Step-by-step explanation:

36 × 12 = 432

432 ÷ 3 = 144

144 × 5 = 720

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Answer:

1).6cm squared

2). 36 cm squared

3).787.5

(im not sure 3 is correct)

Step-by-step explanation:

Answer:

-49, -.45, .4

Step-by-step explanation:

Answer:

YAY thx I appreciate it

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

it would be 3880

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

£1500x6×0.2%=18

you multiple the amount and the year first and multiple the percentage and the answer will be 18

Answer:

The gcf would be 1 because 7 is a prime number and the only other number that can go into 7 is 7.

Step-by-step explanation:

Answer:

The jug weights empty 1.2 kg.

9514 1404 393

Answer:

  8. p(t) = 5(2^t)

  9. 20, 40, 80

  10. doubles every year

  11. multiplies by 4

  12. no, it will soon exceed available habitat

Step-by-step explanation:

8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.

The function is ...

  p(t) = 5(2^t)

__

9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.

If you insist on evaluating the function, you have ...

  p(2) = 5(2^2) = 5·4 = 20

  p(3) = 5(2^3) = 5·8 = 40

  p(4) = 5(2^4) = 5·16 = 80

__

10. The population doubles each year.

__

11. In 2 years, the population doubles twice, so is multiplied by 4.

__

12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).

Answer:

120 degrees

Step-by-step explanation:

It has to equal to 360, and so since angle B is 60 degrees, and it's the smaller angle, A and C have to be 120 degrees, and D has to be 60 degrees. Hope this helps.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

2p − 1

Step-by-step explanation:

I think, sry is its wrong. Do you have possible answrs?

-4p - (1 - 6p) = -4p - 1 + 6p = -4p + 6p - 1 = 2p - 1

Answer:

$1.25

Step-by-step explanation:

cuz 5 divided by 4 is 1.25

douple check - 1.25 times4 is 5!

Answer:

1.25

Step-by-step explanation:

If we divide the amount it costs for 4 rolls (5), by the amount of rolls bought (4), we get 1.25, which is the correct!

Don't do 4 divided by 5, or you would be saying 5 rolls bought for 4 bucks!

Answer:

-120 loves of bread were sold in 4 hours.

-40 loves of bread wereleft to sale.

Step-by-step explanation:

To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:

30*4=120

This means that 120 loves of bread were sold in 4 hours.

Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:

80*2=160

Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:

160-120=40

According to this, 40 loves of bread were left to sale.

Answer:I would think the inequality would look like 2+x<14

Answer:

2 + n < 14

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

5 (x+4) = -15

Expand.

5x +20 = -15

Isolate the x.

5x = -15-20

Simplify.

5x = -35

Find x.

x = -35 ÷ 5

x = -7

Answer:

5(x+4)=-15

5x+20=-15

5x=-15-20

5x=-35

x=-7

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Answer:

below

Step-by-step explanation:

9 2/5 = [(9*5)+2]/5=(45+2)/5=47/5

Answer:

She paid $205 for the bike .

Answer:

Step-by-step explanation:

700% of 5 = 35

35 is greater than 10

but less than 100

Hope this helps! <3

Answer:

A the function is even because of how similar the angles are.

Answer:

y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Step-by-step explanation:

Given dimensions:

   Slope  = [tex]-\frac{2}{3}[/tex]  

  Coordinates  = (1, -5)

Now;

 Equation of the line through the given points;

Solution:

 The equation of a line is given as;

          y  = mx + c

x and y are the coordinates

m is the slope

c is the intercept

 So;

  let us find the y-intercept;

           -5  =  [tex]-\frac{2}{3}[/tex]   x 1 + C

             c  = -5 + [tex]\frac{2}{3}[/tex]  = [tex]-\frac{13}{3}[/tex]

The equation of the line is ;

  y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Answer:

I want to get point

Step-by-step explanation:

can you help