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2 years ago

7

For PE Mr Jones wants to split boys and girls equally into as many mixed groups as possible. There are 168 boys and 60 girls. Ho

w many groups can be made? How many boys and girls are in each group?
PLEASE HELLPPPPP

1 answer:

Bond [772]2 years ago

8 0

Answer:

12

Step-by-step explanation:

You need the greatest common factor of 168 and 60.

168 = 2^3 * 3 * 7

60 = 2^2 * 3 * 5

For the GCF, you need common factors with the lower exponent.

Between 2^3 and 2^2, choose 2^2.

Then you have 3 as a common factor.

5 and seven are not common.

GCF = 2^2 * 3 = 12

Answer: 12

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Step-by-step explanation:

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A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t

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Step-by-step explanation:

Previous concepts

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Solution to the problem

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$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

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Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

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Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

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Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

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Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

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