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kykrilka [37]
3 years ago
14

Swimmers best time in event is 53.87 seconds. On average, his best time decreases by 0.28 seconds each of the next five times he

swims the event. Does he accomplish his goal of swimming the event in less than 52.5 seconds?
Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer: Yes. This is because his fifth attempt was 52.47 seconds

Step-by-step explanation:

From the question, we are informed that Swimmers best time in event is 53.87 seconds and that on average, his best time decreases by 0.28 seconds each of the next five times he swims the event.

The time for the fifth time he swim will be:

= 53.87 - 5(0.28)

= 53.87 - 1.4

= 52.47 seconds

This means that he accomplish his goal of swimming the event in less than 52.5 seconds.

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<em><u>To </u></em><em><u>find:</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>The</u></em><em><u> </u></em><em><u>value</u></em><em><u> of</u></em><em><u> </u></em><em><u>x</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x - 8 =  - 11</u></em>

<em><u>Now,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>move </u></em><em><u>-</u></em><em><u>8</u></em><em><u> </u></em><em><u>to </u></em><em><u>the</u></em><em><u> </u></em><em><u>other</u></em><em><u> </u></em><em><u>side </u></em><em><u>i.e </u></em><em><u>the </u></em><em><u>RHS </u></em><em><u>side,</u></em>

<em><u>which</u></em><em><u> </u></em><em><u>results</u></em><em><u> </u></em><em><u>in </u></em><em><u>the </u></em><em><u>change</u></em><em><u> </u></em><em><u>of </u></em><em><u>it's</u></em><em><u> </u></em><em><u>sign(</u></em><em><u>-</u></em><em><u> </u></em><em><u>converts</u></em><em><u> </u></em><em><u>into </u></em><em><u>+</u></em><em><u>)</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x =  - 11 + 8</u></em>

<em><u>Now </u></em><em><u>,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>add </u></em><em><u>the </u></em><em><u>Numbers</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x =   - 3</u></em>

<h2><em><u>Hence</u></em><em><u>,</u></em><em><u>-</u></em><em><u>3</u></em><em><u> </u></em><em><u>is </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u>.</u></em></h2>

<em><u>^</u></em><em><u>-</u></em><em><u>^</u></em>

8 0
2 years ago
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