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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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Given: *ABC ~ *DMV ; DM = ___
jeka57 [31]

Answer:

DM should equal 20 inches

6 0
2 years ago
1.A five - layer of cake weighs half a kilogram per layer.In each layer,the cake is decorated with icing which weighs 15g.3 cand
julia-pushkina [17]

Answer:  2.815 kilograms

======================================================

Work Shown:

1 layer = 0.5 kg

5 layers = 5*(0.5 kg) = 2.5 kg

icing = 15 g = 15/1000 = 0.015 kg

1 candle = 100 g = 100/1000 = 0.1 kg

3 candles = 3*(0.1 kg) = 0.3 kg

------------------------

The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.

The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms

3 0
3 years ago
The numbers 1-4 are each written on an index card. The 4 cards are put into a bag and 2 of them are drawn at random. What is the
devlian [24]

Answer:

Step-by-step explanation:

Write a list of all possible outcomes

1-2

1-3

1-4

2-1

2-3

2-4

3-1

3-2

3-4

4-1

4-2

4-3

There are 12 possible outcomes. How many of them have totals of 6 or 7

I count 4

So the probability is 4/12 = 1/3, just as you said.

Is there an easier way?

You might be able to get the 12 easier.

You have 4 choices for the first number and 3 for the second.

P(12) = 4*3 = 12

Getting 6 or 7 might be somewhat trickier.

4 and 3 make seven. That gives two ways 4-3 and 3-4

4 and 2 make six. That gives 2 more ways 4-2 and 2-4

That's all that's possible.

answer: 4 ways make success. The total number of ways is 12.

7 0
2 years ago
What 2 numbers multiplied comes to 149
wel

Answer:

12.20655562 or 12.2

Step-by-step explanation:

Just square  149 \sqrt{149\\}

That gives you 12.20655562

Round it to 12.2

4 0
2 years ago
The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

6 0
1 year ago
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