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2 years ago

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?

1 answer:

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

You might be interested in

Definition of positive slope

AysviL [449]

Answer: A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Suppose the bacteria population in a specimen increases at a rate proportional to the population at each moment. There were 100

NNADVOKAT [17]

9514 1404 393

Answer:

about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

p = ab^t

We can find 'a' and 'b' using the given data points.

100 = ab^(-4) . . . . . . . population 4 days ago

100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

1000 = b^2

b = 1000^(1/2)

Substituting for b in the first equation, we have ...

100 = a(1000^(1/2))^(-4) = a(1000^-2)

100,000,000 = a

Then the population model is ...

p = 100,000,000×1000^(t/2)

Tomorrow (t=1), the population will be ...

p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

_____

<em>Additional comment</em>

We could write this as ...

p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

7 0

2 years ago

Hich pairs of fractions include a fraction equivalent to 12 and a fraction equivalent to 25? Select each correct answer. 510 and

Scorpion4ik [409]

Answer:

4/8 and 4/10

Step-by-step explanation:

Required

Select which option is equivalent to 1/2 and 2/5

Option (a): 5/10 and 4/8

Simplify 5/10

$5/10 = 1/2$

Simplify 4/8

$4/8 = 1/2$

This is not true

Option (b): 1/3 and 4/12

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (c): 4/12 and 5/10

Simplify 4/12

$4/12 = 1/3$

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (d): 4/8 and 4/10

Simplify 4/8

$4/8 = 1/2$

Simplify 4/10

$4/10 = 2/5$

Hence, (d) is true

3 0

3 years ago

Write the equation of the line perpendicular to

r-ruslan [8.4K]

Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.

To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form

5 0

3 years ago

tonya works part time in a store at the mall. She is paid about$200 per week before takes and social security. Tonya pays about

liberstina [14]

Hey there,

200-40=160
so 200-20%=160

so the answer is he takes out 20% per week!

Hope this helped

6 0

3 years ago