a square wrestling mat has a perimeter of (12x - 32) feet. Write an expression in simplest form that represents the side length of mat.

Answers

Answer 1

Answer: In a square, all four sides are equal, so you would take the perimeter and divide by 4.

(12x - 32)/4 = 3x - 8 feet

Related Questions

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A y = 3/5x + 4/5B y = 3/5x - 4/5C y = -3/5x - 4/5
Solve for the variable-6a+3=-3(2a-1)Can some one help me. But explain in step by step?
Liam volunteers to help plan the event. First month he volunteered for x hours. The next month he volunteered for 2 times as many hours as he had the first month. If he volunteered for a total of 45 hours,how many hours did he volunteer during the first month? Write an equation to represent the situation and solve
If the tax rate is 6.5%, what is the tax on $80?
Anyone know it’s middle school work

A rectangles length is 7 inches greater than its width. If the perimeter of the rectangle is 110 inches, find its length and width. I think it's w (w+7)=110

Answers

ythat's wrong, perimiter is 2l+2w or 2(l+w) or just look below at my explanation

l=w+7

perimiter=2l+2w
perimiter=2(l+w)
subsitute
2(w+7+w)=permiter
2w+14+2w=4w+14=permiter

4w+14=110
subtract 14 from both sides
4w=96
divide both sides by 4
w=24

width=24
l=w+7
l=24+7
l=31

legnth=31
width=24

the equation for perimeter is P=2(l+w)
so, the equation is 110=2(l+w)
we know that l is 7 inches greater than w
so, l=w+7
now, substitute that for l
110=2(w+7+w)
110=2(2w+7)
110=4w+14
96=4w
w=24

A deck of 52 cards contains four aces. If the cards are shuffled and distributed in a random manner to four players so that each player receives 13 cards, what is the probability that all four aces will be received by the same player?

Answers

Answer:

The probability that all four aces will be received by the same player is approximately 0.01.

Step-by-step explanation:

Of the 52 cards the four aces can be selected in $52\choose4$ ways.

If any one of the players receives all the four aces then that player can be selected in $4\choose1$ ways.

Now for the selected player to receive all the four aces, the four ace cards must be placed among the 13 cards the player receives. This can be done in $13\choose4$ ways.

Then the total number of ways such that all the four aces is received by one player is $4$ $13\choose4$ .

Then the probability that all four aces will be received by the same player is:

$4*\frac{{13\choose4}}{{52\choose4}}=4*(715)/(270725) =0.01056\approx 0.01$

Thus, the probability that all four aces will be received by the same player is approximately 0.01.

Final answer:

The probability that all four aces will be received by the same player in a game of 52 card deck distributed among four players is given by the formula P(E) = 4 * C(48, 9) / C(52, 13), derived through principles of combinatorics.

Explanation:

This is a probability problem that can be solved using combination and permutation principles in mathematics. Specifically, the subject involves combinatorics.

First, we note that each of the four players is dealt 13 cards from a 52 card deck. Hence, for a single player, the total number of ways 13 cards can be chosen from 52 is given by the combination formula C(n, r) = n! / [(n-r)!r!], where ! denotes factorial. In our case, n=52, and r=13.

The total number of ways to deal these 13 cards is thus C(52, 13).

Next, we need to consider the specific case where all four aces end up with one player. This means this player has 9 other cards that are not aces, from the remaining 48 cards (52 total cards - 4 aces). This can happen in C(48, 9) ways.

Therefore, the probability that a specific player gets all four aces is P(E) = C(48, 9) / C(52, 13).

To find the probability that any of the four players gets all four aces, we multiply this result by 4, because there are four players.

So, the final probability is P(E) = 4 * C(48, 9) / C(52, 13).

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.The exact probability that Taylor picks an egg from the basket is ?

Answers

Answer:

Exact Probability that Taylor picks an egg from basket is 0.725

Step-by-step explanation:

Number of white eggs in basket = 14

Number of brown eggs in basket = 15

Number of lemons in basket = 11

Total items in basket = 14 + 15 + 11 = 40

No of eggs in basket = 14 + 15 = 29

$Probability=(Number\:of\:favorable\:outcome)/(Number\:of\:total\:outcome)=(29)/(40)=0.725$

Therefore, Exact Probability that Taylor picks an egg from basket is 0.725

0.40 percent chance of picking up an egg

How to solve x-y=102x-y=17

Answers

Is the equation x-y=10 and 2x-y=17?

Isolate the Y getting:
2x-17=y and x-10=y

Then bring the two equations together. Sub in the one equation for y.
2x-17 = x-10

The answer for x would be 7 (X=7)

Then pick an equation and sub in 7 for x to get your Y.

x-y=10
7-y=10
Subtract 7
-y=3
Divide the -1 from the y (Hopefully you learned why there's a 1 there)
y=-3

Answer is X=7 and Y=-3 or (7, -3)

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. a.parallel
b.perpendicular
c.neither

Answers

The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are B ) perpendicular

Answer:

b.perpendicular

Step-by-step explanation:

20 divided by 3 , worked out

Answers

How did it turn out to worked out

6.6
If you want to know the answer, just look at how many times 3 can be divided in 20. And the remainder is 2

Other Questions

What are the zeros of (x-2)(x^2-9)

What is the standard form of two and twelve hundredths

Question 6Eric is baking a cake. The recipe calls foror 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?

What is the 44th decimal digit in the decimal representation of 1/11?