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3 years ago

Abdul drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Answer:

<u>15.4 gallons</u>

Step-by-step explanation:

This can be solved using a proportion. Keep in mind that " $mi.$ " is miles and " $g$ " is gallons

$\frac{14g}{380mi}=\frac{g}{418}$

Cross multiply.

$380g = 5852$

Solve.

$\frac{380g}{380}=\frac{5852}{380} \\\\g = 15.4$

Therefore, Adbul would need 15.4 gallons to drive 418 miles.

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A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish

Assoli18 [71]

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

$1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours$

Time taken by labor to finish and stain each skateboard is given by

$2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours$

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

$a\times (b+c)=a\times b+a\times c$

$36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85$

Hence, the total cost will be $156.85.

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3 years ago

What is the solution to this equation?<br> 3x- x+8+5x-2=10

VashaNatasha [74]

3x -x + 8 + 5x - 2 = 10
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3 years ago

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sweet [91]

3 terms

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Veseljchak [2.6K]

Answer:

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zimovet [89]

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Step-by-step explanation:

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