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Scrat [10]
3 years ago
10

HELPP MEE WITH THIS i"ll GIVE YOU BRAINLIEST!!! Helen had $330 in her savings account when Vince opened a savings account with z

ero dollars. • Helen deposited $30 into her account each week for x weeks. • Vince deposited $50 into his account each week for x weeks. • The accounts did not earn interest. Which inequality represents this situation when the amount of money in Helen’s account was greater than the amount of money in Vince’s account? Q: A: A) 30x < 330 + 50x B) 50x > 330 + 30x C) 30x > 330 + 50x D) 50x < 330 + 30x
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

D because
Helen= 330 + 30x because she started with $330 and each week deposited $30.
Vince= 50x because he started with no money and each week deposited $50.
The question asks for when Helen>Vince so the answer has to be D.
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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}

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