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BigorU [14]
2 years ago
6

Amber can paint a room in 20 hours. Christy can paint the same room in 16 hours. How long does it take for both amber and christ

y to paint the room if they are working together?
Mathematics
1 answer:
kompoz [17]2 years ago
5 0

Answer: it will take them 8.89 hours

Step-by-step explanation:

Amber can paint a room in 20 hours. This means that Amber's working rate per hour is 1/20

Christy can paint the same room in 16 hours. This means that Christy's working rate per hour is 1/16

If they work together, they would be working simultaneously and their unit rates is additive. This means that their combined rate would be

1/20 + 1/16

Assuming it takes t hours for both of them to paint the room working together. It means that their combined working rate per hour is 1/t. Therefore

1/20 + 1/16 = 1/t

(16 + 20/320 = 1/t

36/320 = 1/t

t = 320/36

t = 8.89 hours

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Answer:

$253.5

Step-by-step explanation:

Total amount saved = Amount Rhonda saved + Amount Margo saved

= $478.50 − $225

Amount Margo saved = $253.5

3 0
3 years ago
Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e
ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r


F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

8 0
3 years ago
Quick what’s the answer
GaryK [48]
Use the Pythagorean Theorem of a² + b² = c² to solve for x. 

x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0

x = - 9, 6

Length cannot be negative so you can't use - 9. 

x = 6. Option C is your answer. 
6 0
3 years ago
Read 2 more answers
The box plots below show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
LekaFEV [45]

Answer:

The interquartile range for December should be 21 minus 18 = 3.

Step-by-step explanation:

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4 0
3 years ago
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The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equat
beks73 [17]

Answer:

Width = 16 m

Length = 4 m

Step-by-step explanation:

The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x

Area of a rectangle = Length × Width

L = W - 12

Hence:

64 = (W - 12) × W

64 = W² - 12W

W² - 12W - 64 = 0

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Width = 16m

Length = W - 12

Length = 16 m - 12 m

= 4 m

6 0
2 years ago
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