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Gnom [1K]
3 years ago
7

3) The table shows the percent of Molly's time that she plans to spend on different activities this

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:144 minutes

Step-by-step explanation:

90 minutes 360 Minutes

—————— ———-——

25% 100%

360x40%=144 minutes

yarga [219]3 years ago
4 0

Answer:

144 minutes

Step-by-step explanation:

90 minutes/ 25%= 3.6 minutes per percent

3.6 minutes x 5= 18 minutes per five percent

18 minutes x 8= 144 minutes for 40 percent

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A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

brainly.com/question/76387

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5 0
2 years ago
A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth
Orlov [11]

Answer:

The answer is around 27.63 seconds.

Step-by-step explanation:

1 km equals 1000 meters so we have to multiply 10,500 and 1,000 which would equal 10,500,000 km. 10,500,000 divided by 380,000 which is around 27.63 seconds.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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inn [45]

Answer:

1/3

Step-by-step explanation:

There are 6 sides on a dice. These are two of the possibilities. 2/6 is the same as 1/3.

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