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Chapter 2: Q39. (page 115)

Solve each proportion. If necessary, round to the nearest hundredth.

2n鈭�45=3n+310

Short Answer

Expert verified

The value is n=11.

Step by step solution

01

Step 1. Define equivalent ratios.

Equivalent ratios are two ratios that have the same relationship between the numbers.

02

Step 2. Find the cross products.

The given ratios can be simplified by doing cross product:

2n鈭�45=3n+310102n鈭�4=3n+35

03

Step 3. Simplify for n.

To further simplify, apply distributive property on both sides.

102n鈭�4=3n+35102n+10鈭�4=3n5+3520n鈭�40=15n+1520n鈭�40+40=15n+15+4020n鈭�15n=15n+55鈭�15n5n5=555n=11

Therefore, the value of n=11.

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