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Neporo4naja [7]
3 years ago
12

Joseph drives 125 miles in 2.1 hours. At the same rate, how far will he be able to travel in 6 hours?

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

Step-by-step explanation:

2.1 hours is 126 minutes. he drove 125 miles in 126 minutes. now we need to find out how much joseph can drive per a steady amount of time. in 6 minutes, he will drive about 5.95 miles. there are 360 minutes in 6 hours. 360/6 is 60 (just doing this again). 60 times 5.95 is 357.

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Step-by-step explanation:

   

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3 years ago
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Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which has five terms.
son4ous [18]
<h3>Answer: 2.325</h3>

=====================================

Work Shown:

The shortcut way to do this is to plug a = 1.2, r = 0.5 and n = 5 into the formula below.

S_n = \frac{a*(1-r^{n})}{1-r}\\\\S_{5} = \frac{1.2*(1-0.5^{5})}{1-0.5}\\\\S_{5} = \frac{1.2*(1-0.03125)}{1-0.5}\\\\S_{5} = \frac{1.2*(0.96875)}{0.5}\\\\S_{5} = \frac{1.1625}{0.5}\\\\S_{5} = 2.325\\\\

---------------------

The longer way is to generate the first five terms, then add them up. To generate the terms, we multiply each term by 0.5 to get the next one.

a1 = first term = 1.2

a2 = second term = 0.6, result of multiplying 0.5 and 1.2

a3 = third term = 0.3

a4 = fourth term = 0.15

a5 = fifth term = 0.075

Now add up the five terms

a1+a2+a3+a4+a5 = 1.2+0.6+0.3+0.15+0.075 = 2.325

This method isn't too tedious since n = 5 isn't too large. For large values of n, it is better to use the formula shown in the previous section.

4 0
3 years ago
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astraxan [27]

Answer:

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Step-by-step explanation:

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Answer:

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Roberts is 10 years old and his father is 40 years old.

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