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solniwko [45]
3 years ago
14

A pool is being drained at a rate of 120 gallons per minute. What is this rate in quarts per hour?

Mathematics
2 answers:
WITCHER [35]3 years ago
7 0
28800 quarts per hour because 120 times 4 equals 480 and 480 times 60 equals 28800
kherson [118]3 years ago
6 0
28800 is the answer
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What is the equation in point slope form of the line that passes through the point (2, 6) and has a slope of 5?
NNADVOKAT [17]
The equation in point slope is: y-y1=m(x-x1) y-6=5(x-2)
5 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> 8x−10−4x=−12(12x−20)
madreJ [45]
What is the value of X?

Simplify:
8x - 10 - 4x =   - 12(12x - 20)


Simplify both sides:
8x - 10 - 4x =  - 12(12x -20)

8x +  - 10 +  - 4x  = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x +  - 10 +  - 4x = 144x 240

(8x +  - 4x) + ( -10) =  - 144x + 240 (Combine Like Terms:)

4x +  - 10 =  - 144x + 240

4x - 10 =  - 144x + 240

Add - 144x to both sides:

4x - 10 +  144x =   - 144x + 240 + 144x

148x - 10 = 240


Add 10 to both sides:

148x - 10 + 10 = 240 + 10

148x = 250

Divide both sides by 148

148x/148 = 250/148

x = 125/74


Answer:  x = 125/74 (Decimal: 1.689189)



Hope that helps!!!!




3 0
3 years ago
Find the slope of a line that is perpendicular to a line that passes through the points (7,1) and (-14,4)
d1i1m1o1n [39]
The slope of the line is -1/7, so the perpendicular line has a slope of 7
7 0
3 years ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
charle [14.2K]

ANSWER

See below

EXPLANATION

Given

f(x) =  \frac{ {x}- 9 }{x + 5}

and

g(x) =   \frac{ - 5x - 9}{x - 1}

(f \circ \: g)(x)=  \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }

Expand:

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9 - 9x  + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9x  + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }

(f \circ \: g)(x)=  \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }

Since the denominators are the same, they will cancel out,

(f \circ \: g)(x)= \frac{ - 14x}{ - 14}  = x

8 0
2 years ago
A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?
mote1985 [20]

Answer: The height of the tree is  27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = <em><u>270 /10 =27</u></em>

7 0
2 years ago
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