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zimovet [89]
3 years ago
5

There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the dance recital

Mathematics
1 answer:
posledela3 years ago
5 0

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

There were 240 men at the recital.

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Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2
patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are n^3t^2 and nt^4.

The factored form of each term is

n^3t^2=n\times n\times n\times t\times t

nt^4=n\times t\times t\times t\times t

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t

LCM(n^3t^2,nt^4)=n^3t^4

The LCM of given terms is n^3t^4. Therefore the correct option is C.

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3 years ago
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The triangles are similar. what is the value of x ?
jonny [76]

\dfrac{32}{4x+12}=\dfrac{8}{15}\\\\ \dfrac{8}{x+3}=\dfrac{8}{15}\\\\ x+3=15\\\\ x=12

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What is x equal to?<br><br> 3(x + 5) = 2(3x + 18)
Anna [14]
<span>3(x + 5) = 2(3x + 18)
Use the distributive property:
3(x)+5(3)=2(3x)+18(2)
Simplify:
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6x+36=3x+15
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Check answer:
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Belinda runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?
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Answer:

15 minutes

Step-by-step explanation:

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A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line?​
Vikki [24]

Answer:

<h2>a = 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the slope is - 3

To find the value of a we have

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Divide both sides by - 3

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We have the final answer as

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Hope this helps you

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