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faust18 [17]
2 years ago
13

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

3-2
Mathematics
1 answer:
joja [24]2 years ago
6 0

Answer:

the answer would be 1 sorry if I'm wrong

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How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?
Marina86 [1]
A group of k elements can be chosen from a group of n elements in \frac{n!}{k!(n-k)!} ways.

(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495

The answer is B. 495.
7 0
2 years ago
How do you solve this... 8=x-5/7
Anarel [89]
Add 5/7 on both sides.

It'll cancel out the negative 5/7, and it will make the x variable only equal to one number (Well, a mixed number.)
5 0
3 years ago
Read 2 more answers
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
devlian [24]

Answer:

1:4:1.5

Step-by-step explanation:

8 0
2 years ago
A salsa recipe uses green pepper, and onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 9
Vlad1618 [11]
The answer is 30 cups

Let x be a multiplier. So:
2x + 5x + 9x = 96
16x = 96
x = 96/16
x = 6 cups

Since the number of onion cups is 5x, then 5 * 6 = 30 cups are needed to make 96 cups of salsa.
8 0
3 years ago
A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8,
GenaCL600 [577]

Answer:

\text{The slope of the line t:}\ m=-\dfrac{3}{4}\\\\\text{The y-intercept of the line t:}\ b=2\\\\\text{The equation of a line t in the slope-intercept form:}\ y=-\dfrac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (8, -4) and (0, 2) → b = 2.

Calculate the slope:

m=\dfrac{2-(-4)}{0-8}=\dfrac{6}{-8}=-\dfrac{3}{4}

Therefore the equation of a line t in the slope-intercept form is:

y=-\dfrac{3}{4}x+2

5 0
3 years ago
Read 2 more answers
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