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3 years ago

Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it take for both

Mathematics

2 answers:

zloy xaker [14]3 years ago

8 0

Answer:it will take both of the 4.44 hours.

Step-by-step explanation:

Hannah can paint a room in 8 hours. This means that the rate at which she paints the room per hour is 1/8

Destiny can paint the same room in 10 hours. This means that the rate at which Destiny paints the room per hour is 1/10

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

1/8 + 1/10 = 9/40

Assuming it takes t hours for both of them to paint the room working together, their working rate per hour would be 1/t. Therefore,

9/40 = 1/t

t = 40/9 = 4.44 hours

IceJOKER [234]3 years ago

5 0

Answer:

Step-by-step explanation:

Let x = time (hours) it takes for both

then

x(1/8 + 1/6) = 1

multiplying both sides by 24 (common denominator):

x(3 + 4) = 24

x(7) = 24

x = 24/7

x = 3.429 hours

x = 3 hours and 26 minutes

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I need to solve for p and have a rationalized denominator

Travka [436]

Answer:

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Step-by-step explanation:

$t = \dfrac{p^2 + r}{p^2s}$

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Your picture cuts out the assumption. If the assumption is that all variables are non-negative, then the answer is

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7 0

3 years ago

Expand the function f(x)=(x+5)^3

Fudgin [204]

Answer:

(x-5)^3

Step-by-step explanation:

(x-5)^3. (x−5)3 ( x - 5 ) 3

5 0

2 years ago

Hii! I need some help, would anyone mind helping me?

Kisachek [45]

Step-by-step explanation:

${x}^{2} - 14x - 25 {y}^{2} + 100y = 76$

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$( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76$

Complete the square, with the x variables,

$( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125$

Factor out 25 for the y variables

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125$

Complete the square

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25$

Simplify the perfect square trinomial

$(x - 7) {}^{2} - 25(y - 2) {}^{2} = 25$

Make the right side be 1 so divide everything by 25.

$\frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1$

Here our center is (7,2).

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2 years ago

Please help with this question

natita [175]

Answer:

$12\sin{(2\theta)}\cos{(\theta)}$

Step-by-step explanation:

The appropriate trig identity is ...

$\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}$

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

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3 years ago

Describe the steps you would take to solve for the variable x in the following

adoni [48]

Answer:

x = 19

Step-by-step explanation:

1. add 31 on both sides (you wanna get the "x" by itself)

ex: 2x - 31 = 7

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2. the 31s cancel each other out so now you add 31 + 7

2x = 7

+31

___________

3. divide 2 on both sides so the 2s cancel each other out and only the x is left

ex: 2x / 2 = x 38 ( the 38 stands alone)

4. now divide 38/2 and you have your answer

X= 19

5 0

3 years ago