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almond37 [142]
3 years ago
15

A manufacturing plant earned $80 per man hour of labor when it opened Each year, the plant carns an

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer: 16

Step-by-step explanation:

80 divided by 5 equals 16

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Eva has borrowed 200 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 w
Alenkasestr [34]

PART A)

The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.

<span>the initial value is 200 at 0 weeks, which means that there are 200 songs to be downloaded at the beginning</span>

PART B)

<span><span><span> <span><span>calculate the slope:
</span><span> m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
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5 0
3 years ago
13x=-21-6y and -8x=36+6y
IgorLugansk [536]

Answer:

x=3\\y=-10

Step-by-step explanation:

13x=-21-6y\\-8x=36+6y

Let's take one of the equations and solve for x. I'll take the first one.

13x=-21-6y

Divide by 13.

x=\frac{-21-6y}{13}

Now replace x in the second equation.

-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y

Distribute -8

\frac{168+48y}{13}=36+6y

Break down the fraction.

\frac{168}{13}+\frac{48}{13}y=36+6y

Subtract \frac{168}{13}

\frac{48}{13}y=36+6y-\frac{168}{13}

Subtract 6y

\frac{48}{13}y-6y=36-\frac{168}{13}

Combine like terms;

\frac{48-13*6}{13}y=\frac{36*13-168}{13}

Solve;

\frac{48-78}{13}y=\frac{468-168}{13}

Keep solving;

\frac{-30}{13}y=\frac{300}{13}

Multiply by the negative reciprocal of the fraction next to y.

(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

y=-10

After having found y, replace it in any of the equations to find x.

13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3

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