How many different outcomes are possible for seven people seated in chairs arranged in a line?

Answers

Answer 1
Answer: person A could have any SIX dif. people sitting to her left. the person on A's left can have FIVE dif.people sit on his left. that person could have any of the remaining FOUR to her left and so on to the last person. so, there are 6x5x4x3x2x1= 720 possible arrangments. 

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Find the valueis the the correct answer
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2m-7greater than or equal to 13-2m

Answers

2m-7 \geq 13-2m \ \ |+2m\n \n 2m+2m-7 \geq 13-2m+2m \n \n4m-7\geq 13 \ \ |+7 \n \n4m-7 +7\geq 13+7\n \n4m\geq 20 \ \ / :4 \n \n (4)/(4)\cdot m\geq (20 )/(4)\n \nm\geq 5

Write x^2 − 8x + 13 = 0 in the form (x − a)^2 = b, where a and b are integers.(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Can anyone show the steps on how to get the answer?

Answers

Sure.
The answer is (x-4)^2 = 3

Procedure

Complete a perfect square trinomial to factor:

x^2 - 8x + 13 = 0

Notice that -8x = 2(x)(4)

Given tha x is the square root of x^2, we want to include the square of 4, which is 16.

We must just add 16 to the first two terms, which, of course, obliges to substract the same number to maintain the equality. This way:

(x^2 - 8x + 16) + -16 + 13= 0

Now the three terms in parenthesis can be factor as a binomial squared:

(x - 4)^2 + 13 -16 =0

(x - 4)^2 - 3 = 0

(x - 4)^2 = 3 Which is the answer.

Let me know whether you could follow the explanation.

Combine like terms. 7k – 13k

A.
–6

B.
–6k

C.
–20

D.
–20k

Answers

Answer is B.7k-13k=-6kWhich is B. So answer is -6k

What is -9/20 as a decimal and as a percent?

Answers

Decimal: -0.45 percent:-45%

To find out what a fraction as a decimal would be, you simply need to divide the numerator by the denominator.

(-9)/(10) = -9/10=-0.9

Now to find the percent.
To find a percentage based off of a decimal, we can either multiply the decimal by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

-0.9 = -90%

which is all we need to know.

(-9)/(10) written as a decimal and a percent is -0.9 and -90% respectively.
Hope that helped! =)

0 What are the solutions to the equation 12. 2d – 71 = 60? d = [ Select and d = [Select ]​

Answers

D=65.5

Explanation

2d -71 = 60
+71. +71
Add 71 to both sides

2d/2=131/2

Divide by 2 on both sides

D=65.5

Write 30/5 as a whole number

Answers

30/5 = 30 ÷ 5 = 6
6 × 5 = 30
30/5 = 6 :)