A group of workers can plant 2/5 acres in 7/8 days. What is the unit rate in acres per day?

1 answer:

ivann1987 [24]3 years ago

8 0

16/35

In 1/8 of a day they plant 2/35 of an Acre
So multiply 1/8 by 8 to get one day next do this to the rest of the problem 2/35 times 8 is 16/35 and that’s the answer

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What is the product of three square root of eight times four square root of three? Simplify your answer.

igor_vitrenko [27]

$The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.$

First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

$3\sqrt{8}*4\sqrt{6}$
$3*4*\sqrt{8}*\sqrt{3}$

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

$3*4*\sqrt{(2*2*2)}*\sqrt{3}$
$3*4*\sqrt{4*2}*\sqrt{3}$

Multiply the square roots together:
$3*4*\sqrt{(4*2*3)}$
$3*4*\sqrt{(4*6)}$

Now take out the square-root of 4 and simplify
$3*4*\sqrt{4}*\sqrt{6}$
$3*4*(2)*\sqrt{6}$
$24\sqrt{6}$

$Thus,\ your\ answer\ is\ 24\sqrt{6}$