Nathan B. answered • 10/07/19

Elementary and Algebraic skilled

Here's what we know:

4t = ^{7}/_{10} (4 tasks take 7/10 of an hour)

Divide both sides by 4:

4t / 4 = ^{7}/_{10} / 4

t = ^{7}/_{40}

So each task is ^{7}/_{40} of an hour

^{7}/_{40} n = 1 (Now we want to find the number of tasks completed in 1 hour)

Multiply both sides by ^{40}/_{7}:

n = ^{40}/_{7}

Converting improper fraction to a mixed number:

n = 5 ^{5}/_{7}

So the robot will complete 5 ^{5}/_{7} tasks in an hour. If the answer is looking for fully finished tasks and not partially done ones, the you need to round down to 5.