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3 years ago

Justin's car used 12 gallons to travel 252 miles. At what rate does the car use gas, in

Mathematics

1 answer:

s2008m [1.1K]3 years ago

7 0

Answer:

All you have to do is divide the miles by the gallons... 252 miles ÷ 12 gallons = 21 miles/gallons

Your final answer is 21 miles/gallon!!

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Need help, “Find the volume of each rectangular prism. Round to the nearest tenth if necessary.”

mario62 [17]

1) We know that volume= base area x height, so 306.52= 19.4 x height.

To find the height you have to divide 306.52/19.4 which would give you the height. The height is 15.8m.

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4 years ago

Find the 100th term in the following sequence: 2, 6, 10, 14...

Nadusha1986 [10]

Answer

2,6,10,14,18,22

Step-by-step explanation:

add 4

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4 years ago

Read 2 more answers

A homeowner uses a $10 bill to pay a neighbor for cutting his lawn. The

timama [110]

Answer:

Step-by-step explanation:

It has a constant value.

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3 years ago

Kristen has been earning $150 per week by babysitting. She has been working hard to save 20% of each week's earnings. If she con

anyanavicka [17]

Answer:

it will take her 6 weeks

Step-by-step explanation:

150*.2=30

180/30=6

5 0

4 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

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4 years ago