A ratio of men to women in a party is exactly 3;2 if there are a total of 120 people at the party how many of them are women ? Can someone please explain to me how the answer is 48

Answers

Answer 1
Answer:
If the ratio is 3:2 then you add that together to get 5.Which tell you what one group would equal. Then you divide 120 by 5 to get an answer of 24. If women is equal to 2 out of a total of 5, then you multiply 24 by 2 to get 48.

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The Math Club plans to pay a visitor $280 to speak at a fundraiser. Tickets will be sold for $7 each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold.  How many people must attend the event for the club to break even?

Answers

A minimum of 40 people must attend the event for the club to breakeven such that the cost of the speaker to speak is \$280 and the selling price of a ticket is \$7.

Breakeven

Breakeven is a point where the cost price and the selling price of the commodity are the same. In other words, the seller is neither is loss nor in profit.

We will first determine the breakeven point and equate it with the total amount received by selling the tickets to determine the minimum number of tickets to be sold to attain the breakeven.

How to determine the breakeven point?

Let the number of tickets sold be x.

According to the question,

The fundraiser will be in profit if, 7x > 280

The fundraiser will be in loss if, 7x < 280

Now, to determine the breakeven point-

7x=280\nx=(280)/(7)\nx=40

Thus, a minimum of 40 people must attend the event for the club to breakeven.

Learn more about breakeven here- brainly.com/question/15172639

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Equation:
Profit = Price of tickets*number of tickets - initial cost

Let t be the number of tickets
Let p be the profit
p = 7t-280


To Break Even:
In order for the club to break even, p must be equal to 0, and so the equation can be rewritten as:
0 = 7t-280
7t = 280
t = 280/7
t = 40 tickets

A model is made of a car. The car is 8 feet long and the model is 10 inches long. What is the ratio of the length of the car to the length of the model?

Answers

Like I said in one of your questions ratios are just fractions
8/10 is what you get, but you need to simplify it to get
4/5

Select the expression that is equivalent to the polynomial given below. (4x + 3)(3x - 8)

a.) 12x2 - 23x - 24
b.) 12x2 + 41x + 24
c.) 12x2 - 23x + 24
d.) 12x2 - 41x - 24

which would be the best option?

Answers

Answer:

The correct option is c.

Step-by-step explanation:

The given expression is

(4x+3)(3x-8)

Using distributive property we get

4x(3x-8)+3(3x-8)

Again use distributive property.

4x(3x)+4x(-8)+3(3x)+3(-8)

12x^2-32x+9x-24

Combine like terms.

12x^2-23x-24

Therefore the correct option is c.

Answer:

C

Step-by-step explanation:

Find the area of the square s = (2w - 4)

Answers

4wsquared- 16w+16..........

EFGD is a parallelogram. Find x.A. 1
B. 7
C. 11
D. 6

and,

If ABCD is a parallelogram, what is the length of BD?

A. 10
B. 12
C. 7
D. 5

Answers

Answer:

x = 11

BD = 10

Step-by-step explanation:

Solving for x

The opposite sides if a parallelogram are equal and parallel.

Hence,

2x - 5 = 17

Collecting like terms:

2x = 17 + 5

2x = 22

x = 11

If E is a midpoint, then BE equals to DE

Since BE = 5, then

BD = 2 * BE

BD = 10

What is the least common multiple of 3 and 20 and 17?

Answers

LCM =
3 * 20 * 17 = 1020
Answer : LCM = 1020

Hope this helps. - M