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sukhopar [10]
3 years ago
13

If a person bikes 6 miles in 15 minutes, how far can she bike in 1.5 hours?

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

36\:miles

Step-by-step explanation:

There is <em>one-and-a-half</em> <em>hour</em> in <em>ninety</em><em> </em><em>minutes</em>,<em> </em>so multiply 6 by 15 to get 90, then whatever is done to the bottom is also done to the top, so you <em>square</em> 6 to get 36.

I am joyous to assist you anytime.

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Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
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<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

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\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

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