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baherus [9]
3 years ago
11

Find the value of AB.

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Step-by-step explanation:

ĀB = (12 \times 2) \\  = 24

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SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

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Answer:

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Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2

Carter's is 14.4 ft by 9.6 ft:  A = 138.24 ft^2

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