Hannah can paint a room in 20 hours. Destiny can paint the same room in 16 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.

Answers

Answer 1

Answer:

The number of hours that it will take for both Hannah and Destiny to paint the room when they are working together is 9 8/9 hours.

Based on the information given, the fraction that can be painted by Hannah in an hour will be 1/20.

The fraction that can be painted by Destiny in an hour will be 1/16.

Therefore, the formula to solve the question will be:

1/20x + 1/16x = 1/1

4x + 5x = 80

9x = 80

Divide both side by 9

9x/9 = 80/9

x = 8 8/9 hours.

Therefore, it'll take them 8 8/9 hours to paint the room.

Read related link on:

brainly.com/question/17170929

Answer 2

Answer: amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x

1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)

4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours

Related Questions

For each function below, choose the correct description of its graph.
AB= 12m, BC= 16 cm and AD= 13 m.Find the area of the shaded region.
Please help asap! question attached in file below
in local theaters showing an animated movie they charge $5 per ticket for a child and $12 per ticket for an adult they sell a total of 342 tickets and make a total of $2,550 we want to try to find out how many of each type of ticket they so let C represent the number of children tickets sold and A represent the number of adult tickets to write an equation that represents the fact that 342 tickets were sold also write an equation representing the fact that they made it to a total of 2550 also solve the system you created in A & B by the method of elimination
A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.

What is the ratio 18:24 in its simplest form

Answers

Answer:

3:4

Step-by-step explanation:

18:24

$(18)/(24)$

$(18 / 6)/(24 / 6)$

$(3)/(4)$

3:4

How do I write the equations of lines through the given point parallel to the given line and perpendicular to the given line?

Answers

first we find the slope of the original equation
4x - 2y = 3
-2y = -4x + 3
y = -4/-2x - 3/2
y = 2x - 3/2......slope here is 2

for a parallel line, we use the same slope
y = mx + b
slope(m) = 2
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = 2(2) + b
1 = 4 + b
1 - 4 = b
-3 = b
so ur parallel equation is : y = 2x - 3

for a perpendicular slope, we need the negative reciprocal. All that means is flip the slope and change the sign. So we have a slope of 2...the negative reciprocal we need is -1/2
y = mx + b
slope(m) = -1/2
(2,1)...x = 2 and y = 1
now we sub again
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
ur perpendicular line is : y = -1/2x + 2
=========================
x + 4 = 0
x = -4....this is a vertical line with an undefined slope....sorry but I am not sure about this one

How To Solve The Equation 3(x-6)=10x+3 ?

Answers

3(x-6)=10x+3

Expand the left side:

3x-18 = 10x + 3

Subtract 3x from each side:

-18 = 7x + 3

Subtract 3 from each side:

-21 = 7x

Divide each side by 7 :

-3 = x

$3(x-6)=10x+3\n 3x-18=10x+3\n 7x=-21\n x=-3$

What is the check for this equation?
4(1 - x) + 3x = -2(x + 1)

Answers

x = -6 hope that helps :)

Which of the following is equivalent to (cd)5?

c5d
cd5
c5d5
5cd

Answers

If you would like to find the equivalent expression to (c*d)^5, you can do this using the following steps:

(c*d)^5 = c^5*d^5 = c^5d^5

The correct result would be c^5d^5.

The correct result would be c^5d^5.

the third option C, just took the test.

Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. Provide Taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1g(x)=2x^2+1