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Question Solve the equation 0.50x+0.45(30)=48.50.50 x + 0.45(30) = 48.5. Select the correct choice: A. x=□x = \square, B. The solution is all real numbers, C. There is no solution.

Studdy Solution

STEP 1

Assumptions1. The equation is 0.50x+0.45(30)=48.50.50x +0.45(30) =48.5 . We are solving for xx

STEP 2

First, simplify the equation by multiplying 0.450.45 by 3030.
0.50x+0.45(30)=48.50.50x +0.45(30) =48.5

STEP 3

Perform the multiplication to simplify the equation.
0.50x+13.5=48.50.50x +13.5 =48.5

STEP 4

Next, isolate xx by subtracting 13.13. from both sides of the equation.
0.50x=48.−13.0.50x =48. -13.

STEP 5

Perform the subtraction to simplify the equation.
0.50x=350.50x =35

STEP 6

Finally, solve for xx by dividing both sides of the equation by 0.500.50.
x=350.50x = \frac{35}{0.50}

STEP 7

Perform the division to find the value of xx.
x=70x =70So, the solution to the equation is x=70x =70.

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