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Margaret [11]
3 years ago
9

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

40 and 35

Step-by-step explanation:

If we say the first car uses x gallons then the second car must use 75 - x gallons.

The distance travelled is the number of gallons used * the efficiency of the car.

20x + 15(75-x)=1325

20x + 1125 - 15x = 1325

5x = 200

x = 40

This means that the first car uses 40 gallons and the second car uses 75-40= 35 gallons

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WHEN gEORGE AND aNTHEA WERE MARRIED 120 OF THE GUEST aNTHEA'S FAMILY OR FRIENDS. THIS WAS 60 PERCENT OF THE TOTAL number of gues
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3 0
3 years ago
A factory is to be built on a lot measuring 210 ft by 280 ft. A local building code specifies that a lawn of uniform width and e
Tresset [83]

Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

A_{lot} = 210 * 280\\A_{lot} = 58800 ft^{2}

Since, the area of factory should be equal to area of lawn:

A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

(210-2x)\\(280-2x)\\

Since, area is equal to length x width:

(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2}  - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\

Divide whole equation by 4,

x^{2} - 245 + 7350 = 0\\

Solving above quadratic equation, we get,

x = 210\\x = 35\\

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft

We can also reconfirm the area of factory by multiplying the above two lengths:

140 * 210 = 29400 ft

8 0
3 years ago
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