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Kay [80]
3 years ago
5

What is the The product of -2 and a number minus six is greater than -18.

Mathematics
1 answer:
Fed [463]3 years ago
6 0
Answer: x>-6

Explanation: -2x -6>-18
-2x >-12
-x>6
X>-6
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For his troops' popcorn fundraiser sale, Mike sold caramel corn for $10, buttered microwave popcorn for $8, and lightly buttered
Bad White [126]
\bf \begin{cases}
c=\textit{caramel corn}\\
b=\textit{buttered microwave popcorn}\\
p=\textit{lightly buttered popcorn}
\end{cases}

so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus

c+b+p = 400

now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7

so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p

whatever those amounts are, they ended up in $3,272
thus
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now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or 
p = 2b

thus      \bf \begin{cases}
c+b+\boxed{p}=400\\\\
\boxed{p}=2b\qquad thus\\\\
c+b+\boxed{2b}=400\qquad or\\\\
c+3b=400\implies c=\underline{400-3b}\\
--------------\\
10c+8b+7p=3272\qquad or\\\\
10(\underline{400-3b})+8b+7(\boxed{2b})=3272
\end{cases}

solve for "b", to see how many buttered microwave popcorn Mike sold

how many lightly buttered?  well, p = 2b
how many caramel ones?   well  c = 400 - 3b
5 0
3 years ago
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