Math

QuestionSimplify the expression 32(n+40)10\frac{3}{2}(n+40)-10.

Studdy Solution

STEP 1

Assumptions1. The expression is 3(n+40)10\frac{3}{}(n+40)-10 . We are asked to simplify this expression

STEP 2

We will first distribute the 2\frac{}{2} to both nn and 4040 inside the parentheses.
2(n+40)=2n+2×40\frac{}{2}(n+40) = \frac{}{2}n + \frac{}{2} \times40

STEP 3

Now, calculate the multiplication of 32\frac{3}{2} and 4040.
32×40=60\frac{3}{2} \times40 =60So, the expression becomes32n+60\frac{3}{2}n +60

STEP 4

Next, subtract 1010 from the expression.
32n+6010\frac{3}{2}n +60 -10

STEP 5

Perform the subtraction operation.
32n+6010=32n+50\frac{3}{2}n +60 -10 = \frac{3}{2}n +50So, the simplified expression is 32n+50\frac{3}{2}n +50.

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