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gizmo_the_mogwai [7]
3 years ago
12

There are 35 females performed in a dance recital.The ratio of men to women is 3 : 8. How many men are in the dance recital

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.

Step-by-step explanation:

Be careful how you interpret this question. It reads like this.

3:8 :: x:35

In other words, the 8 and 35 females goes together.

Set this up as a proportion

3/8 = x / 35  Cross multiply

3*35 = 8x     Combine the left

105 = 8x       Switch

8x = 105        Divide by 8

x = 105 / 8     get the answer

x = 13.125       You cannot have 1/8 of a person. So what are you going to do?

You have to round down. x = 13. How close is this

13/35 = 0.371 as apposed to 0.375 which is what 3/8 is.


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The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

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