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Nikolay [14]
3 years ago
15

There are 24 female performers in a dance recital. The ration to men to women is 2:3 How many men are in the recital?

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
Just set up a proportion

(2/3)=(x/24)

cross multiply both sides
24(2)=3(x)

then solve
48=3x

x=48/3

x=16

16 is the correct answer
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Peter invests $1000 at 4% compounded annually for 10 years and Jose invests $900 compounded annually at 5% for 11 years. Who end
Nesterboy [21]

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

6 0
3 years ago
What two things do you NEED to write an equation in point-slope form?
soldi70 [24.7K]

Answer:

a letter or a word of any kind

8 0
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NISA [10]
The angle of x is matching the angle of 113
7 0
3 years ago
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Find the measure of the exterior angle.
MaRussiya [10]

Answer:

120 \degree

Step-by-step explanation:

The exterior angle in a triangle is equal to the sum of the interior opposite angles in a triangle

Therefore,

90 + x = 4x

Now solve for x

90 + x = 4x \\ 90 = 4x - x \\ 90 = 3x \\  \frac{90}{3}  =  \frac{3x}{3}  \\ 30 \degree = x

Now let's solve for the exterior angle

4x \\ 4 \times 30 \\ 120 \degree

Hope this helps you.

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