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m_a_m_a [10]
3 years ago
14

David drives 67.5 miles in 45 minutes. If he drove three hours in total at the same rate, how far did he go?

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

270 miles

Step-by-step explanation:

45 minutes = 67.5 miles

1 minute = 67.5 ÷ 45 = 1.5

3 hours = 60 x 3 = 180 minutes

180 minutes = 1.5 x 180 = 270

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zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
2 years ago
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Answer:

Step-by-step explanation:

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6 0
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Lorico [155]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Lorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, a
timurjin [86]
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7 0
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Answer:

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Step-by-step explanation:

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