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2 years ago

there are 21 female performers in a dance recital the ratio of men to women is 2:3 how many men are in the dance recital

Mathematics

2 answers:

Softa [21]2 years ago

6 0

Answer:

42 men are in the dance recital.

Step-by-step explanation:

Vaselesa [24]2 years ago

3 0

Answer:

See Below

Step-by-step explanation:

If there are 21 female dance performers, you must think about the ratio, 2:3, so that means the groups are in thirds, so multiply 21 by 3. And you get 63.

Therefore subtract 21 from 63 and get your answer, 42 Men

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Dave is three times as old as his sister. In seven years the sum of their ages will be 38. How old are they now?

bija089 [108]

Answer:

Dave is 18 and his sister is 6.

Step-by-step explanation:

If you do 38 -7x2 you can work out the combined ages of them now which is 24 (you have to do 7x2 because there are two of them and its seven years in the future). Then you can work out their ages using a ratio. Dave’s age : his sister’s age is 3:1 so if you divide 24 by 4 (3+1 = 4 so your can work out one portion of their age) you can find out how old the sister is which is 6. Times that by 3 to get Dave’s age which is 18. A formula for this (where x is his sisters age) would be 3x=38-7x2 which cancels down to 6.

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4 years ago

A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills the tank with water at a rate of 8 cubic feet per

ki77a [65]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

We need to determine the time it will take for Jane to completely fill the tank without overflowing it.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$V=(3.14)(4)^2(10)$

$V=(3.14)(16)(10)$

$V=502.4$

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

$Time = \frac{Volume}{Rate \ of\ filling}$

Substituting the values, we have;

$Time = \frac{502.4}{8}$

$Time = 62.8$

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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3 years ago

Hmmmmmmmmmmmmmmmmmmmmmmmm???

katovenus [111]

Hmmmmmmmmmmmmmmmmmm?

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3 years ago

The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between payi

-Dominant- [34]

Answer: kindly check Explanation

Step-by-step explanation:

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Interest rate = 12.5%

Therefore, monthly rate = 12.5% / 12 = 0.0104167

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Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Principal amount payed = 75 - 20.83 = 54.17

Balance = ($2000 + $20.83) - $75 = 1945.83

Interest on balance = 0.0104167 × 1945.83 = $20.2691

Paying $100 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Repayment = 100 - 20. 83 = $79.17

Balance = ($2000 + $20.83) - $100 = 1920.83

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Interest saved by paying $100 instead of $75

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3 years ago

100.2and 19.400 which is greater

trasher [3.6K]

Answer:

19.400

Step-by-step explanation:

19.400 equals out to 42769.67886386625

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3 years ago