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nadezda [96]
3 years ago
8

If there are 36 performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital ?

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0
\frac{m}{w}= \frac{2}{7} \\ \\ \frac{m}{2}=\frac{w}{7}=k \\ \\ m=2k\\ w=7k \\ \\ m+w=36 \\ 2k+7k=36 \\ 9k=36 \\ \\ \boxed{k=\frac{36}{9}=4} \\ \\ m=2*4=8 \ men \\ \\ w=7*4=28 \ women
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Answer:

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Step-by-step explanation:

Given function: f(x)=x^2-3x-2

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\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}

5 0
2 years ago
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1. Write a numerical expression for the phrase “twelve groups of the sum of fourteen and 10.”
Rom4ik [11]
The expression for five groups of a number added to seventeen.

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3 years ago
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Ilya [14]

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a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

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3 years ago
Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The tea
CaHeK987 [17]

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Step-by-step explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

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1) x + y = 26

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solve equation 1 for x and substitute in equation 2

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Vanyuwa [196]

(a) The product of (2x-4)\ and\ (3x^2-x+4)  is calculated to be =6x^3-14x^2+12x-16

(b)The product of (2x-4) \ and\ (3x^2-x+4)\ is not equal to the product of  (4x-2)\ and\ (3x^2-x+4)

<u>Step-by-step explanation:</u>

<u>(a)</u>

(2x-4)(3x^2-x+4)\\\\=(2x.3x^2)+(2x.-x)+(2x.4)+(-4.3x^2)+(-4.-x)+(-4.4)\\\\=6x^3-2x^2+8x-12x^2+4x-16\\\\=6x^3-14x^2+12x-16

b)

(4x-2)(3x^2-x+4)\\\\=(4x.3x^2)+(4x.-x)+(4x.4)+(-2.3x^2)+(-2.-x)+(-2.4)\\\\=12x^3-4x^2+16x-6x^2+2x-8\\\\=12x^3-10x^2+18x-8

The product of (2x-4) \ and\ (3x^2-x+4)\ is not equal to the product of  (4x-2)\ and\ (3x^2-x+4)

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3 years ago
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