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Maru [420]
3 years ago
8

How many combinations of 7 candidates can fill 3 vacancies on a city council?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

35 combinations

Step-by-step explanation:

You have to use the formula for finding combinations in probability.  It looks like this:

₇C₃ = \frac{7!}{3!(7-3)!}

so that gives you

₇C₃ = \frac{7*6*5*4!}{3*2*1*4!}

The 4 factorials cancel each other out, and when you do the math, you get 210/6.  That divides evenly into 35.  So there are 35 combinations.

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If m∠1 equals (4x + 2) and m∠3 equals (5x − 25), what is the value of x?
vitfil [10]

Step-by-step explanation: the answer is x = 1/2

7 0
3 years ago
Question 7<br> #7) What value of m makes the equation true?<br> 3(8 – m) = 5m – 40
Anastaziya [24]

Answer:

8

Step-by-step explanation:

3(8-m)=5m-40

you first distribute 3 through the parenthesis

24-3m=5m-40

Move the variable to the left and change sign

24-3m-5m=-40

now move the constant to the right

-3m-5m=-40-24

collect like terms

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so m = 8

7 0
3 years ago
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3 years ago
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Anton [14]
Company A
Income = 35,000 + 0.03x

Company B
Income = 25,000 + 0.05x

set them equal to see how much of sales Julia needs to make the same income at both companies.

30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
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Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.

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4 0
4 years ago
Can someone Help please !!!
Sunny_sXe [5.5K]

Answer:

parellel lines have same slope so slope of l2 is same as that of l1

slope of l1 = 5-1/-2-(-3)

4/1

3 0
3 years ago
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