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4 years ago

9

Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection

. He begins buying 15 new comic books each week.

1 answer:

Nuetrik [128]4 years ago

6 0

Well, after doing all that math, here is what I came up with, I hope this helps! :) -1600x^2+28265x-21830

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algol [13]

Answer:

1. No.

2. Yes, there is no solution here.

Step-by-step explanation:

The former:

$8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.$

$\{0\}$ is our set of solutions.

The latter:

$3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.$

In other words, there is not any solution from the set of real numbers that suits us.

5 0

2 years ago

Solve both by substitution method (algebra 2) and show work please<br><br> -2x-7y=22<br>-7x-5y=-1

Alex17521 [72]

$\bf \begin{cases}
-2x-7y=22\\
-7x-5y=-1
\end{cases}\qquad \textit{let's solve the \underline{second one} for "x"}
\\\\\\
-7x-5y=-1\implies -7x=5y-1\implies x=\cfrac{5y-1}{-7}
\\\\\\
\boxed{x=\cfrac{1-5y}{7}}\impliedby \textit{now, let's substitute it in the \underline{first one}}
\\\\\\$

$\bf -2\left( \frac{1-5y}{7} \right)-7y=22\implies \cfrac{10y-2}{7}-7y=22
\\\\\\
\textit{now, let's multiply both sides by 7, to toss the denominator}
\\\\\\
7\left( \cfrac{10y-2}{7}-7y \right)=7(22)\implies 10y-2-49y=154
\\\\\\
-39y=156\implies y=\cfrac{154}{-39}\implies \boxed{y=-4}
\\\\\\
\textit{now, let's use that in the \underline{first one}}
\\\\\\
-2x-7(-4)=22\implies -2x+28=22\implies 6=2x\implies \cfrac{6}{2}=x
\\\\\\
\boxed{3=x}$

4 0

3 years ago

Use the law of sines to find m

Rufina [12.5K]

the answer is c. 40.5

5 0

3 years ago

The product of a number and five is at the most 30. List this as an inequality (less than,greater than,lessthanorequalto,moretha

mixer [17]

=6? I believe that's the answer give me a minute

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3 years ago

Please help question eleven

saw5 [17]

The answers D, the explanation is that it’s basically common sense just look for the same numbers and make it make sense :)

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3 years ago