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gavmur [86]
3 years ago
15

If Gloria were to paint her living room alone, it would take 4 hours. Her sister Angela could do the job in 6 hours. How many ho

urs would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

Answer:

2 hours and 24 minutes

Step-by-step explanation:

1/6 + 1/4 = 2/12 + 3/12 = 5/12

5/12 = 1/x

5/12x = 1

5x = 12

x = 2.4

2 hours, 24 minutes

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Solve the equation 12x-14=4x+10​
ziro4ka [17]

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10​

Subtract 4x from each side

12x-4x-14=4x-4x+10​

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

3 0
3 years ago
Read 2 more answers
Solve this rational equation<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bx%20%2B%204%7D%20%20%3D%20%20%5Cfrac%7B4%7
sergey [27]

Answer:

x =  - 12

C.E.: x <em>=/=</em> -4

Step-by-step explanation:

\frac{x}{x + 4}  =  \frac{4}{x + 4}  + 2 \\  \frac{x}{x + 4}  =  \frac{4 + 2x + 8}{x + 4}  \\ x = 4 + 2x + 8 \\  - x = 12 \\ x =  - 12

6 0
3 years ago
An in ground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area
Anastasy [175]
1. Let's call:
 
 x: the width of the walkway.
 b: 2x+16 (there is a widht "x" of the walkway on each side).
 h: 2x+32  (there is a widht "x" of the walkway on each side).
 A: 924 ft^2 ( the area of the pool of including the walkway).
 
 2. The area of a rectangle is:  
 
 A=(b)(h)
 
 b: the base of the rectangle (2x+16)
 a: the height of the rectangle (2x+32)

 3. Then, we have a quadratic equation:
 
 924=(2x+16)(2x+32)
 4x^2+64x+32x+512-924=0
 4x^2+96x-412=0
 
 4. We apply the quadratic formula to find the value of "x":
 
 x=(-b±√(b^2-4ac))/2a
 
 x=3.71
 
 The answer is: The width of the walkway is 3.71 ft

7 0
3 years ago
Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how
Lerok [7]

Answer:

Jessiah has 14 pencils

Miles has 28 pencils

Grace has 8 pencils

Step-by-step explanation:

I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve

Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,

j=g+6

m=2j

So m=2(g+6) or 2g+12

Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8

j=8+6, which is 14

m = 2(14), which is 28

3 0
2 years ago
What is the value of x?
MAXImum [283]

Answer:

I'm so sorry I don't know how to do this

Step-by-step explanation:

8 0
3 years ago
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