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3 years ago

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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While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flip

zaharov [31]

Answer: 2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

heads

total

heads

heads+tails

4+2

The experimental probability is

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

(33)

(33) Multiply both sides by (33)

= 3n Simplify

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

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7 0

3 years ago

PLZ HELP 50 PTS 1. The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a tot

iris [78.8K]

$HEY THERE!!$

Ride ticket cost for per ticket is $2.5
and henry bought 15 tickets so in riding he spent $2.5×15 - $ 37.50= $18

(a) And as according to question he spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission.

So for fair admission he spent
$55.50 -$37.50

HOPE. IT HELPS YOU.

8 0

3 years ago

Read 2 more answers

1. Use the figure below to answer the questions.

olasank [31]

Answer:

Step-by-step explanation:

The 3D shape shown in the image is a prism, known because it has two parallel faces called bases (the front and back triangles) and the other faces being parallelograms.

To compute the total surface area, we must add the area of the five faces of the shape.

For the bases:

$\displaystyle A_b=2\cdot \frac{bh}{2}=bh$

For the upper face

$A_u=z.w$

Where z is the hypotenuse of the triangle and w is the depth of the prism.

For the face-down surface

$A_d=b.w$

For the right face

$A_r=h.w$

The total area is

$A=bh+zw+bw+hw=bh+w(z+b+h)$

$A=4\times 3+11(5+3+4)=12+132=144$

$A=144\ cm^2$

5 0

3 years ago

A steel ball is dropped from a building’s roof and passes a window, taking 0.125 s to fall from the top to the bottom of the win

Anna35 [415]

Answer:

20.425 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

$s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.2-\frac{1}{2}\times 9.81\times 0.125^2}{0.125}\\\Rightarrow u=8.98\ m/s$

Now this will the final velocity when it reaches the top of the window

$v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{8.98^2-0^2}{2\times 9.81}\\\Rightarrow s=4.11\ m$

$v=u+at\\\Rightarrow v=8.98+9.81\times 0.125\\\Rightarrow v=10.21\ m/s$

If the upward flight is an exact reverse of the downward flight then the time taken while going down will be 1 second and going up will be 1 second.

$s=ut+\frac{1}{2}at^2\\\Rightarrow s=10.21\times 1+\frac{1}{2}\times 9.81\times 1^2\\\Rightarrow s=15.115\ m$

Hence total height of the building is 4.11+1.2+15.115 = 20.425 m

4 0

3 years ago

Bridgett drank 20 ounces of water in the morning 36 ounces in the afternoon and 20 ounces in the evening how many cups of water

azamat

20+36= 56
56+20=76

she drank 76 ounces
and there are 8 ounces in a cup
76÷8=9.5

she drank 9.5 cups

3 0

3 years ago