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Eduardwww [97]
3 years ago
9

If Chang jogs one lap around the inside track, how far does he jog

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

836 m

Step-by-step explanation:

Given that the tracks are similar, therefore, the ratio of the lenght of all corresponding sides of the inside track to the outside track are equal, and have the same scale factor.

Only 1 side of the inside track is given as 395 m. It corresponds to the side of the outside that measures 553 m. Therefore:

scale factor = 395:553 = \frac{395}{553} = 0.7

Find the remaining two sides of the insider tracks by multiplying the lenght of the side of the outside tracks that corresponds to each by the scale factor.

Thus:

280*0.7 = 196 m

350*0.7 = 245 m

The remaining 2 side lengths of the inside tracks are 196 m and 245 m.

If Chang completes 1 lap around the inside tracks, he would have gone: 395 + 196 + 245 = 836 m.

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Answer: it will take a combined rate of 2.67 hours

Step-by-step explanation:

Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6

The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8

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When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be

1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120

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To find a percentage of a number we multiply the percentage times the number and get the result, here we have the percentage and the result and need to find out which number it corresponds to, lets write an equation to do so and keep in mind that the percentage itself can be written in a different way:
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So we have this equation, where we call x the number we are looking for:
<span>(225%)(x) = 81
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