Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
2. Simplifying Radicals
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Exercise 80 Page 625

You can solve for the variable by using cross products.

H

Practice makes perfect

To solve the proportion, we will start by using cross products. Remember that we will need to treat 8-b as a single quantity in the cross multiplication process.

3/b=7/8-b
3(8-b)=7(b)
3(8-b)=7b

From here, we will continue solving for b by using the Distributive Property and the Properties of Equality.

3(8-b)=7b
24-3b=7b
24=10b
24/10=b
b=24/10
b=12/5

The value of b is 125, which corresponds to answer H.