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2 years ago

There are 27 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?

Mathematics

1 answer:

Karolina [17]2 years ago

6 0

Answer:

18 men

Step-by-step explanation:

The 3 part of the ratio relates to the number of female performers.

Dividing the number of female performers by 3 gives the value of one part of the ratio.

$\frac{27}{3}$ = 9 ← 1 part of the ratio, hence

2 parts = 2 × 9 = 18 ← number of men

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Drag step's into the order to correctly solve the equation 4×=112

goldfiish [28.3K]

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2 years ago

The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?

kramer

Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

$(1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )$

$by \: comparison, \:$

$\frac{ - 3 + x2}{2} = 1$

$- 3 + x2 = 2$

$x2 = 5$

$\frac{ - 6 + y2}{2} = - 4$

$- 6 + y2 = - 8$

$y2 = - 2$

6 0

3 years ago

Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to

san4es73 [151]

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

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2 years ago

What is the slope of the line passing through the points ( −3 , 4 ) and ( 4, −1 )?

ziro4ka [17]

Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7

4 0

2 years ago

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MissTica

Answer:

$\frac{3r}{s}$

4 0

2 years ago