There are 15 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?

1 answer:

5 0

If 3 represents women, then we divide 15 by 3 to get 5. once we have 5, we must then multiply 2 and 5. once that is done we have 10. So the number of men in the dance recital is 10.

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There are 12 face cards in a standard deck of 52 cards. How many ways can you arrange a standard deck of 52 cards such that the

evablogger [386]

Answer:

Total number of required ways = 12 × 51!

Step-by-step explanation:

Number of total cards in the deck = 52

Number of face cards in the deck = 12

Now, we need to find the number of ways such that the first card is always a face card

Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51

Number of ways to arrange 51 cards = 51!

Also, Number of face cards = 12

So, Total number of required ways = 12 × 51!

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Write a linear equation representing the information shown in the table.

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Answer:

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

$k = \frac{y2 - y1}{x2 - x1}$

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

$k = \frac{0 - 5}{2 - 0}$

$k = \frac{ - 5}{2}$

Now you could insert k into the equation and it will look like this.

$y = \frac{ - 5}{2}x + m$

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

$- 5 = \frac{ - 5}{2} \times 0 + m$