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dlinn [17]
3 years ago
14

Peggy filled her​ van's gas tank and noted that the odometer read 24 comma 583.9. After the next​ fill-up, it read 24 comma 923.

4. It took 17.5 gal to fill the tank. How many miles per gallon did the van​ get?
Mathematics
1 answer:
zubka84 [21]3 years ago
3 0

Answer:

19.4 miles per gallon

Step-by-step explanation:

In this question, we are asked to calculate the distance traveled per gallon of fuel filled into a tank. Hence, this looks like a rate question.

Firstly, we need to know the distance covered during the duration in which the fuel was in the engine. To do this, we subtract the final odometer reading from the initial odometer reading. This is mathematically equal to: 24,923.4 - 24,583.9 = 339.5 miles.

This means she travelled a total distance of 339.5 miles on the 17.5 gallon fuel.

Hence, the miles per gallon gotten by the van is numerically equal to 339.5/17.5 = 19.4 miles/ gallon

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4 years ago
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha
xz_007 [3.2K]

Answer:

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Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
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A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

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