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4 years ago

7

if you can travel 156 miles on 4 gallons of gasoline how many miles can you travel on 6 gallons of gas

2 answers:

bearhunter [10]4 years ago

4 0

Write and solve an eqn of ratios to determine the answer to this qu:

156 miles 4 gallons
-------------- = --------------
x 6 gallons

So (156)(6) = 4x, or 39(6) = x = 234 miles (answer)

Alternatively, determine the unit rate:

156 miles
-------------- = 39 mpg
4 gallons

Then 39 mpg times 6 gallons comes out to 234 miles.

Luden [163]4 years ago

3 0

Its 234!!!!!!!!!!!!!! Just checked my work

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Answer:

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Step-by-step explanation:

We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.

We will use area of sector formula to solve our given problem as:

$\text{Area of sector}=\frac{\theta}{360}\times \pi r^2$ , where, r represents radius and theta represents central angle.

Let us find area of sector with central angle 140 degree and radius 3 inch.

$\text{Area of sector}=\frac{138}{360}\times \pi (3)^2$

$\text{Area of sector}=\frac{138}{360}\times 9\pi$

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$\text{Area of sector}=2(\frac{114}{360}\times \pi (5)^2)$

$\text{Area of sector}=2(\frac{114}{360}\times 25\pi)$

$\text{Area of sector}=\frac{114}{360}\times 50\pi$

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Let us find difference of area as shown below:

$\text{Difference of areas}=49.74188-10.83849$

$\text{Difference of areas}=38.90339$

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Therefore, the difference in area covered is approximately 38.9 square inches.

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