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Alex777 [14]
2 years ago
10

HELP PLZ!

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
4 0

Answer:

23 boxes of toys are being stored.

Step-by-step explanation:

There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored

This means that for x boxes of toys stored, the total cost is of:

C(x) = 1200 + 5x

If the total cost for this month was $1315, how many boxes of toys are being stored?

This is x for which C(x) = 1315. So

C(x) = 1200 + 5x

1315 = 1200 + 5x

5x = 115

x = \frac{115}{5}

x = 23

23 boxes of toys are being stored.

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Nataly_w [17]
The answer to the equation is c
7 0
3 years ago
A line segment has endpoints at (1,6) and (9,-10). The midpoint of the segment is located​
ira [324]

Answer:

The answer is

<h2>( 5 , - 2 )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x_1 + x_2}{2} , \:  \frac{y_1 + y_2}{2} ) \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1,6) and (9,-10)

The midpoint is

M = ( \frac{1 + 9}{2}  \:  , \:  \frac{6 - 10}{2} ) \\  = ( \frac{10}{2}  \: , \:  -  \frac{4}{2} )

We have the final answer as

<h3>( 5 , - 2)</h3>

Hope this helps you

4 0
3 years ago
What is the value of x? 63, 42, 50
taurus [48]

Answer:

Step-by-step explanation:

6 0
3 years ago
Find the perimeter of the pentagon with vertices M(-2,5), N(2,5), P (5, 3),
wlad13 [49]

The perimeter of the pentagon is approximately 19.6.

<h3>Procedure - Determination of the perimeter of a pentagon</h3><h3 />

In this question we must plot the locations of each vertex on a Cartesian plane to determine the line segments that form the perimeter, whose lengths are determined by Pythagorean theorem and sum the resulting values to find the perimeter.

According to the image attached below, the line segments of the pentagon are MN, NP, PQ, QR and RM. By Pythagorean theorem we have the following lengths:

<h3>Line segment MN</h3><h3 /><h3>l_{MN} = \sqrt{[2-(-2)]^{2}+(5-5)^{2}} </h3><h3>l_{MN} = 4</h3><h3 /><h3>Line segment NP</h3><h3 /><h3>l_{NP} = \sqrt{(5-2)^{2}+(3-5)^{2}}</h3><h3>l_{NP} = \sqrt{13}</h3><h3 /><h3>Line segment PQ</h3><h3 /><h3>l_{PQ} = \sqrt{(5-5)^{2}+(0-3)^{2}}</h3><h3>l_{PQ} = 3</h3><h3 /><h3>Line segment QR</h3><h3 /><h3>l_{QR} = \sqrt{(3-5)^{2}+(3-0)^{2}}</h3><h3>l_{QR} = \sqrt{13}</h3><h3 /><h3>Line segment RM</h3><h3 />

l_{RM} = \sqrt{(-2-3)^{2}+(5-3)^{2}}

l_{RM} = \sqrt{29}

And the perimeter of the pentagon is:

p = l_{MN} + l_{NP} + l_{PQ} + l_{QR} + l_{RM} (1)

p = 4 + \sqrt{13} + 3 + \sqrt{13} + \sqrt{29}

p = 7 + 2\sqrt{13} + \sqrt{29}

p \approx 19.6

The perimeter of the pentagon is approximately 19.6. \blacksquare

To learn more on pentagons, we kindly invite to check this verified question: brainly.com/question/27476

8 0
2 years ago
Find the equation of the line shown. y X 1 2 3 4 5 6 7 8 9 10 10 P880 87654321​
Tpy6a [65]

The linear equation is y = 0.5x

<h3>How to determine the equation?</h3>

The points on the line are given as: (0,0) and (2,1)

The equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1

Substitute the known values

y = \frac{1 - 0}{2 - 0} * (x - 0) + 0

Evaluate

y = 0.5x

Hence, the equation is y = 0.5x

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

5 0
2 years ago
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