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Xelga [282]
1 year ago
5

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests you start by jogging for 14 min

utes each day. Each week after, he suggests that you increase your daily jogging time by 7 minutes. How many weeks before you are up to jogging 70 minutes?
Mathematics
1 answer:
aleksklad [387]1 year ago
7 0

Given that initial time for jogging is,

a_{_1}=14

After each week the time is increased by

d=7

This gives an arithmetic sequence.

To find n such that,

a_n=70

Therefore,

\begin{gathered} a_n=a_1+(n-1)d \\ n=\frac{a_n-a_1}{d}+1 \end{gathered}

So,

\begin{gathered} n=\frac{70-14}{7}+1 \\ =\frac{56}{7}+1 \\ =8+1 \\ =9 \end{gathered}

Therefore, 9 weeks before you are up to jogging 70 minutes.

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3 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

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Then, the required system of inequality :-

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Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

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3 0
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The length of the time that randy read is 45 minutes.

<h3>What is time?</h3>

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It is a period via which an action, process, etc. is alive or continues such as duration. One can tell the time by counting the minutes and seconds.

Learn more about time from

brainly.com/question/25607827

6 0
2 years ago
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