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Anit [1.1K]
3 years ago
14

enrollment in the school orchestra was 340 last year. this year , it dropped 15%. A. what is the enrollment this year?

Mathematics
1 answer:
crimeas [40]3 years ago
6 0
289.  You multiple 340 by 15%  and get 51.  340 - 51 = 289.
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Answer:

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Step-by-step explanation:

An image of the coordinate plane is show.  The quadrants start at the top right and move around in the counter-clockwise direction.  The x-axis is horizontal (side to side) and y-axis is vertical (up and down).  Starting at the origin of the coordinate plane (0, 0) and going three blocks west (left) would put you at -3 on the x-axis.  If you then proceed to go north (up) +1, you would now be at point (-3, 1) which is a (-x, +y)  or in quadrant II.  

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<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

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