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MakcuM [25]
3 years ago
15

Hannah and Zach together earn $950 for an

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

$450

Step-by-step explanation:

First, write out an equation.  We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.

Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.

Let "x" represent the amount of money made each hour, and form your equation.

Your equation would be: 19x=950

Then, just solve for "x".  Divide both sides by 19.

\frac{19x}{19}=\frac{950}{19}\\x=50

The "x=50" means that Hannah and Zach each earn $50 per hour.

Now, the question asks us to find the amount of money that Zach made.  So, multiply 50 by only the number of hours Zach worked, which is 9.

50*9=450

That means that Zach made a total of $450.

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1) Find the GCF for 45a^3b^2 and 15ab
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We want to find the greatest common factor of two given expressions.

The GCF is 15*a*b.

The two expressions are:

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To find the greatest common factor, we can rewrite the first expression to get:

45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)

Now remember that we can perform a multiplication in any order we want, so we can rearrange the factors to write this as:

(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)

Then we have:

45*a^3*b^2 =  (15*a*b)*(3*a^2*b)

So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.

If you want to learn more, you can read:

brainly.com/question/1986258

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