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Natasha_Volkova [10]
3 years ago
13

A family has two cars. The first car gets 25 miles per gallon and the second car gets 15 miles per gallon. In a week the two car

s went 725 miles and consumed 35 gallons of gas. How much gas did each car use?
Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:20 and 15 gallons

Step-by-step explanation:

Given

The first car gets 25 miles per gallon

The second car gets 15 miles per gallon

Two cars consumed 35 Gallons

they went for 725 miles in total

suppose the first car consumes x gallons

so, the second car consumes 35-x gallons of gas

We can write

\Rightarrow 25x+15(35-x)=725\\\Rightarrow 25x-10x=725-525\\\Rightarrow 10x=200\\\Rightarrow x=20

First consumed 20 gallons and second consumed 15 gallons

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What is the volume of a square pyramid with base edges 24 feet and slant height 37
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Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

h^2=l^2-\dfrac{1}{2} b^2 where h is height, l is slant height and b is base edge of pyramid

So we have

h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

V=b^2\dfrac{h}{3} where V is volume , b is base edge and h is height of pyramid

Therefore

V= (24)^2\dfrac{35}{3} = 6720

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7 0
3 years ago
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4 0
3 years ago
Solve for m: <br> 8(m + 2) = 3(12 - 4m)
Tema [17]

Answer:

m=1

Step-by-step explanation:

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step 2: 8 m + 2 = 3 12 - 4m move the terms

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3 0
3 years ago
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Nonamiya [84]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

the fourth answer

Step-by-step explanation:

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6 0
4 years ago
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