You and 4 friends go to a concert. in how many different ways can you sit in the assigned seats

Answers

Answer 1
Answer: So,

This is permutations.

To find all of the possible choices, you will have the number of seats with the mathematical exclamation mark after that number.

4 + you = 5 people
5! = 120

You and your 4 friends can sit in your seats 120 different ways.

Don't waste your time trying to find all 120 of them though.

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2/3 of the product of 3/8 and 16

How do you find the answer to 6.45 divided by 5

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turn the decimal into a whole number and then devide it

The location of a post office is marked at (2,2) on a coordinate grid. Which point is about 18 units from the location of the post office?L(-12,9)
M(12,9)
N(12,-9)
P(-12,-9)

Answers

The answer would be-12,9

602 < 620 correct? Which way is greater than < or >?

Answers

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The equation of the perpendicular line

Answers

Answer:

Step-by-step explanation:

First we need to find the point that the perpendicular line goes through on this line segment. The problem says it's a perpendicular bisector, which means it goes through the middle of the line, which means the point it goes through is halfway between (4, 4) and (-8, 8). This point would be (-2, 6).

Next, we need to find the slope of the perpendicular line. We know that if the slope of the line segment we're given is m, then the slope of the line perpendicular to this line segment is (-1)/(m).

The slope of the line segment can be found by the following:

(8 - 4)/(-8 - 4)

(4)/(-12)

(-1)/(3)

This means that the slope of the perpendicular line is 3.

The equation of a line is y = mx + b, were m is the slope and b is the Y-intercept.

We know the slope, we so we just need to determine the Y-intercept. To do so, we can plug in a point that we know the line goes through, (-2, 6), and solve for b:

6 = (3)(-2) + b

6 = -6 + b

b = 12

Finally, the equation of the line is

y = 3x + 12

Susie is having a party with 6 guest she wants to feed everyone sandwiches if Susie but 1/2 pound of cheese how many cheese would each guest get on their sandwiches

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Answer: 3

Step-by-step explanation:

Take the 6 guests and the 1/2 pound I cheese and multiply. 6×1/2 is 3!

(15x2 – 24x + 9) ÷ (3x – 3)

Answers

\bf 15x^2-24x+9/ 3x-3\implies \cfrac{15x^2-24x+9}{3x-3}\implies \cfrac{\underline{3}(5x^2-8x+3)}{\underline{3}(x-1)}\n\n\n\cfrac{5x^2-8x+3}{x-1}\implies \cfrac{(5x-3)\underline{(x-1)}}{\underline{(x-1)}}\implies 5x-3