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Naddik [55]
4 years ago
14

are the graphs of the lines in the pair parallel? explain. y equals two thirds x minus 17. 4 x minus 6 y equals negative 6. a. n

o, since the slopes are different. b. no, since the y-intercepts are different. c. yes, since the slopes are the same and the y-intercepts are different. d. yes, since the slopes are the same and the y-intercepts are the same
Mathematics
1 answer:
nasty-shy [4]4 years ago
6 0
The slope of the line is the quotient when the negative of the numerical coefficient of x is divided by the numerical coefficient of y. The slope of the first line is 2/3 and that of the second line is -4/-6 or 2/3. Thus, the answer is letter C. 
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solve for a dairy needs 275 gallons of milk containing 5% butterfat. how many gallons each of milk containing 7% butterfat and m
Kazeer [188]
X = gallons of the 7% butterfat milk

y = gallons of the 2% butterfat milk


now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.

so, in "x" gallons, how many gallons is butterfat only anyway?  namely, what is 7% of "x"?  well, (7/100) * x, or 0.07x.

likewise, how many gallons of butterfat are in the 2% one?  well, (2/100) * "y" or 0.02y.

we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.

we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus

\bf \begin{array}{lccclll}
&\stackrel{gallons}{amount}&\stackrel{butterfat~\%}{quantity}&\stackrel{butterfat~gallons}{quantity}\\
&------&------&------\\
\textit{7\% butterfat milk}&x&0.07&0.07x\\
\textit{2\% butterfat milk}&y&0.02&0.02y\\
--------&------&------&------\\
mixture&275&0.05&13.75
\end{array}

\bf \begin{cases}
x+y=275\implies \boxed{y}=275-x\\
0.07x+0.02y=13.75\\
----------\\
0.07x+0.02\left( \boxed{275-x} \right)=13.75
\end{cases}
\\\\\\
0.07x-0.02x+5.50=13.75\implies 0.05x=8.25
\\\\\\
x=\cfrac{8.25}{0.05}\implies x=165

how much will it be of the 2% milk?  well, y = 275 - x.
7 0
3 years ago
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Elan Coil [88]
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4 0
3 years ago
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Answer:y=0.5x-10.5

Step-by-step explanation:

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4 years ago
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Use substitution. 

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Plug in.
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