contestants in a dance marathon rest for the same amount of time every hour. a couple rests for 27 minutes in 6 hours. how long does the couple rest in 8 hours? Show your work.

Answers

Answer 1

Answer: In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
   = 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
   = 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
   = 36 minutes.
The couple will rest for 36 minutes in 8 hours.

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The sum of 1/11 and 1/15 is closest to which one 0, 1,2

Answers

1/11 + 1/15 = 26/165

its closest to 1

Answer:

It's actually closest to 0

Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5.6 meters,and a height of 7.2 meters is about 334 cubic meters.Is her estimate reasonable?Explain your reasoning.

Answers

Let's calculate the actual area: it is 11*5.6*7.2 or 443.52 cubic meters. Is the 100+ cubic meters error reasonable? :)

Answer:

Yes.

Step-by-step explanation:

She is close because the actual surface

area is 362.24

How do you use an exponent to represent a number such as 16

Answers

I dont get your question, but if it's how to use an exponent it's basically like this. $16^(5)$ which basically means 16 x 16 x 16 x 16 = 1048576

What is the volume of a cylinder, in cubic ft, with a height of 14ft and a base diameter of 12ft? Round to the nearest tenths place Answer: V= ft 3

Answers

Final answer:

The volume of the cylinder is approximately 1582.2 cubic feet when rounded to the nearest tenths place.

Explanation:

To find the volume of a cylinder, you can use the formula:

Volume (V) = π × r² × h

Where:

V is the volume of the cylinder.

π (pi) is approximately 3.14159.

r is the radius of the base.

h is the height of the cylinder.

In this case, the base diameter is given, but you need to find the radius, which is half of the diameter:

Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft

Now, you can plug these values into the formula and calculate the volume:

Volume (V) = π × (6 ft)² × 14 ft

Volume (V) = 3.14159 × 36 ft² × 14 ft

Volume (V) ≈ 3.14159 × 504 ft³

Volume (V) ≈ 1587.82336 ft³

Rounding to the nearest tenth, the volume of the cylinder is approximately 1587.8 cubic feet

Learn more about Volume of Cylinder here:

brainly.com/question/16788902

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Anna said the LCM of 8 and 12 is 4.Explain what Anna's mistake was.Then tell the correct answer.

Answers

Anna did the GCF instead of the LCM. The correct answer is 24.

to take sweepstakes for the largest pumpkin crop at the Riverside County Fair the average weight of Ethan's to pumpkins must be greater than 875 lb one of his pumpkins is 903 lb what is the least amount of pounds II pumpkin could weigh in order for Ethan to win the prize

Answers

Answer:847 pounds

Step-by-step explanation:

Let $w$ be the weight of the second pumpkin.

Given that weight of first pumpkin is $903$ pounds.

Since we need the weight of the second pumpkin to be minimum,the average weight of the two pumpkins must be just equal to the required weight to win.

Given that the required weight to win is $875$ pounds.

So, $875=(w+903)/(2)$

$1750=w+903$

$w=847$ pounds

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Alden fills his back pack with 0.45 kg of apples,0.18 kg of cheese, and a water bottle that weighs 1.4 kg. How heavy are the contents?

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Eva opened a bank account. She deposited $68.40 into her account every month for 20 months. She used $42.40 every month to pay for craft classes. After 20 months, she used 1 over 2 of the total money left in her account to go to a crafting summer camp. What is the total amount of money Eva spent to go to the summer camp?