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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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The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
Vikentia [17]

Answer: the length is 87 feet

The width is 40 feet

Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

L + W = 127 - - - - - - - - - - - -1

The length is 47 ft longer than the width. This means that

L = W + 47

Substituting L = W + 47 into equation 1, it becomes

W + 47 + W = 127

2W + 47 = 127

2W = 127 - 47 = 80

W = 80/2 = 40

L = W + 47 = 40 + 47

L = 87

4 0
3 years ago
1.3n-0.03=-9 (solve for n) grade lvl. 7
bazaltina [42]

Hello from MrBillDoesMath!

Answer:

-6.9


Discussion:  

1.3n - 0.03 = -9     =>              multiply both sides by 100

130n - 3 = -900 =>

130n = -900 +3 =  -897 =>     add 3 to both sides

n = -897/130  =>

n =  - (69 * 13)/ (10*13) =>

n = - 69/10 = - 6.9




Thank you,

MrB

4 0
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Answer:

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