What is 75% out of a number?

Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange th

slamgirl [31]

Answer:

483 840 ways

Step-by-step explanation:

Let you and your friend be A and B.

With three people always between you two,, we have

Case 1: AxxxBxxxxx

Case 2: xAxxxBxxxx

Case 3: xxAxxxBxxx

Case 4: xxxAxxxBxx

Case 5: xxxxAxxxBx

Case 6: xxxxxAxxxB

So there is 6 ways of arranging you two through the line and for each of the six cases,

If you two remained in your positions, the rest can be arranged in 8! ways

Also for each case, you two can interchange your positions in 2! ways

Therefore,

The photographer can rearranged the line keep three people between you an your friend in

8! * 2! * 6 = 483 840 ways

7 0

3 years ago

Solve each equation for the indicated variable. u = -3a - 3 , for a

MAXImum [283]

Answer:

$a = \frac{u + 3}{-3}$

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

$a = \frac{u + 3}{-3}$ is your answer.

~

8 0

3 years ago

Find the equation of this line<br><br> y = [?]x + [ ] <br> Please help

larisa [96]

<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>Answer:</h3>

$y = [ -2 ] x + [ 1 ]\\$

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>

We must first find the slope.

<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>

<em><u>brainly.com/question/24640665</u></em>
<em><u>brainly.com/question/24638053</u></em>

We can see the marked points, $(0,1)$ and $(4, -7)$ , are on the line.

Solving for the slope:

$m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2$

Now we can now solve for the $y$ -intercept.

<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>

We can see that the line intersected the $y$ -axis at $(0,1)$ so $b = 1$ .

5 0

3 years ago

L=a+(n-1)d <br><br> solve for n

earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides: L - a = (n-1)d

2) Divide both sides by d: (L-a)/d = n-1

3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n

3 0

3 years ago

Which of the following expressions is correctly written in scientific notation?

valentinak56 [21]

Answer: D is correctly written in scientific notation.

Step-by-step explanation:

The base has to be between 1 and 10.

A has a base of 16.4 which is greater than 9.

B is not even in scientific because the base it being raise to an exponent

C has 0.71 as base which is less that.

3 0

2 years ago