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2 years ago

A motorcyclist rides 973.50 miles using 29.5 gallons of gasoline what is the mileage in miles per gallon

Mathematics

1 answer:

GaryK [48]2 years ago

6 0

Answer:

The mileage is 33 miles per gallon.

Step-by-step explanation:

Miles per gallon = miles travelled / gallons consumed

= 973.50 / 29.5

= 33.

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

2 years ago

Read 2 more answers

3/5, 1/2,5/7 as a common

miskamm [114]

a common what? denominator?

4 0

2 years ago

£54 is 10% off what is the the original price

Schach [20]

Answer:

48.6

Step-by-step explanation:

50/10=5

4/10=.4

54-5.4=48.6

6 0

2 years ago

The total pay for 12 hours of work at a base rate of (p) per hour plus a temporary raise of $2.50 per hour. How would I write th

Naddika [18.5K]

12P+2.50 HOPE THIS HELPS

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2 years ago

Ariel is working at meat -packing plant 5 night a weak .Her regular wage is $11 an hour.She earns time and a half for any overti

Bond [772]

Answer:

$148.50.

Step-by-step explanation:

Hourly wage for time and a half = 11 * 1.5

=$16.50

For 9 hours she earns 16.50 * 9

= $148.50.

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2 years ago