The fastest way is to just use a scientific calculator.

To do it without a calculator, use prime factorization.

I'll only do the second one which is the answer.

27 x 8

= 3^3 x 2^3 = 6^3

Which is a perfect cube.

5 0

4 years ago

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At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio

Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

$FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup$

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0

4 years ago

1. You go to the local Sport Grill for quarter wings day.

DedPeter [7]

Answer:

If the 20% discount is by the hour then the answer would be $11.70 I think.

0.25x78= 19.50

19.50x0.20(20%)= 3.90

19.50-3.90-3.90= 11.70

Hope this helps!

Step-by-step explanation:

8 0

3 years ago

Is the following number rational or irrational?

Nadusha1986 [10]

A, an irrational number would be something like 200.688965529290363892

8 0

3 years ago

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