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BaLLatris [955]
4 years ago
13

A pool company is trying out several new drains. Drai n A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rat

e of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty t he pool. Then solve each equation showing your work.
Mathematics
1 answer:
shtirl [24]4 years ago
8 0
108 ÷ 2 = 54 minutes
108 ÷ 5 = 21.6 minutes
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What is the quotient of 63 and a number is 9
Alisiya [41]
7 because if you do the inverse operation: 7 x 9 = 63
4 0
3 years ago
Read 2 more answers
Lg(10x+200)=lg<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title=" {x}^{2} " alt=" {x}^{2} "
Oksana_A [137]

Answer: x = {-4, 5}

<u>Step-by-step explanation:</u>

log (10x + 200) = log (x²) + log (10)

log (10x + 200) = log (10x²)

     10x + 200 = 10x²

                   0 = 10x² - 10x - 200

                   0 = x² - x - 20

                   0 = (x - 5)(x + 4)

                   0 = x - 5    0 = x + 4

                  x = 5           x = -4

Check for extraneous solutions:

             10x + 200 > 0                  x² > 0

x = 5      10(5) + 200 > 0               (5)² > 0        both are satisfied

x = -4     10(-4) + 200 > 0             (-4)² > 0        both are satisfied

            Both solutions are valid!

 

8 0
3 years ago
Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).
11Alexandr11 [23.1K]

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{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{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

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

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

4 0
3 years ago
What is the conjugate of 5 - 4i?
xxTIMURxx [149]

Answer:

5 + 4i

Step-by-step explanation:

In general, the conjugate of a + bi is a - bi

5 0
4 years ago
Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for
alina1380 [7]

Answer:

x+y=-2 and 3z-y=5 are two such planes.

Step-by-step explanation:

To find the two planes whose intersection is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

You can say that <em>t</em> is equal to this expression

t=\frac{x-6}{3} =\frac{y+8}{-3}=-z-1

Next,

\frac{x-6}{3} =\frac{y+8}{-3}\\ \frac{y+8}{-3}=-z-1

Then,

x+y=-2 and 3z-y=5 are two such planes.

You can see in the image attached that the intersection of this planes is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

7 0
3 years ago
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