I can't figure out how to do this question. simplify the imaginary number in the picture above please

Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

-i(6/7)√2

Step-by-step explanation:

$\displaystyle -\sqrt{-\frac{72}{49}}=-\sqrt{-1}\sqrt{\frac{36}{49}}\sqrt{2}\\\\=-i\frac{6}{7}\sqrt{2}$

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Buddy the elf and Jovie are planning to start running together for a few days per week. In order to estimate how far they could

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Answer:

a) Buddy's Unit rate is 11 minutes per 1 mile.

Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.

A unit rate is the amount per one unit.

b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.

Step-by-step explanation:

a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.

Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.

Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.

b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.

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