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Paul [167]
2 years ago
6

Solve the system. 2x + y = 3 −2y = 14 − 6x Write each equation in slope-intercept form.

Mathematics
2 answers:
Aleks04 [339]2 years ago
7 0

Answer:

y=-2x+3

y=3+-7

Step-by-step explanation:

barxatty [35]2 years ago
5 0

Answer:

2x + y = 3

y = -2x + 3 <==

-2y = 14 - 6x

y = -14/2 + 6/2x

y = -7 + 3x

y = 3x - 7 <===

Step-by-step explanation:

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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}&#10;c=\textit{caramel corn}\\&#10;b=\textit{buttered microwave popcorn}\\&#10;p=\textit{lightly buttered popcorn}&#10;\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
10c + 8b + 7p = 3,272

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}&#10;c+b+\boxed{p}=400\\\\&#10;\boxed{p}=2b\qquad thus\\\\&#10;c+b+\boxed{2b}=400\qquad or\\\\&#10;c+3b=400\implies c=\underline{400-3b}\\&#10;--------------\\&#10;10c+8b+7p=3272\qquad or\\\\&#10;10(\underline{400-3b})+8b+7(\boxed{2b})=3272&#10;\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
Alexis put $2000 in savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn?
Marizza181 [45]

Answer:

A

Step-by-step explanation:

Hihi. So, this is a nice application of interest rates as well as properties of exponentials/logarithms. As you know, the basic equation for interest rates is A= Pe^(rt) where A is your final amount, P is your initial, r is your rate of interest, and t is the time the money was accumulating interest. After cleaning up, you get in a situation due to you having e still lying around. Luckily, if you take the natural log of e, all you have left behind is the previous exponent. Thus, you can take the natural log of both sides, divide by 4, and then simplify to see that your final interest rate is ~6%

5 0
3 years ago
Read 2 more answers
What is 8,690,000 rounded to the nearest tenth.?
Setler79 [48]

since there is no decimal, the answer is 8,690,000.0 (the tenth place is one place after the decimal)

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What percent of 40.4 is 50.5
k0ka [10]
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3 years ago
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il63 [147K]

Answer:

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Step-by-step explanation:

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