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3 years ago

There are 32 female performers in a dance recital.The ratio of men to women is 3:8.How many men are in the dance recital?

Mathematics

2 answers:

natita [175]3 years ago

4 0

Answer:12

Step-by-step explanation:32 divided by 8= 4 so then, 4x3 = 12 men in total

Juliette [100K]3 years ago

4 0

Yes the answer is 12. If there are a total of x performers and y is the number of males, then the equation is 8k = 32 where k is an element of the natural numbers. That means that the ratio has to be multiplied by 4 to get the numbernof males. In this case it was 3 so 3×4=12.

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Solve the system of equations. y= x + 17, y= 3x+1

Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

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