Chris Built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 times the width. What was the length (x) and width (y) of the fort

Answers

Answer 1
Answer:

The length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

Given that, Chris Built a rectangular snow fort with a perimeter of 24 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let x be the length of a rectangular snow fort and y be the width of a rectangular snow fort.

The length of the fort was 8 feet less than 3 times the width.

y=3x-8

Now, 2(y+x)=24

⇒ 3x-8+x=12

⇒ 4x=20

⇒ x=5

So, y=3x-8=7

Therefore, the length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

To learn more about the perimeter of a rectangle visit:

brainly.com/question/15287805.

#SPJ2

Answer 2
Answer: We set up an equation for this.  P = 2L + 2W.24 = 2(3W-8) + 2W
24 = 6W + 2W -16
32 = 8W
W = 4.

L = 3W-8
L = 3 (4) -8
L = 12-8
L = 4

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Solve the equation: Show work step by step

-14=-5+3c

Answers

-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: -14 = 3c - 5
Second, add 5 to both sides. / Your problem should look like: -14 + 5 = 3c
Third, simplify -14 + 5 to -9. / Your problem should look like: -9 = 3c
Fourth, divide both sides by 3. / Your problem should look like: -(9)/(3) = c
Fifth, simplify the fraction to 3. / Your problem should look like: -3 = c
Sixth, switch your sides. / Your problem should look like: c = -3

Answer: c = -3


−14=−5+3c

−14=3c−5

Flip the equation.

3c−5=−14

Add 5 to both sides.

3c−5+5=−14+5

3c=−9

Divide both sides by 3.

3c/3=−9/3

c=−3

Translate the phrase into an algebraic expression.
3 times b

Answers

Answer:

3b

Step-by-step explanation:

It`s just . . . 3b lol

When numbers and variables multiply, they are put in the form of (integer)(variable). They phrase can only be further simplified if there is a number substitution for b.

Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

O A. The value of n can be any positive integer resulting in the same factor

O B. The value of n can be any positive integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O C. The value of n can be any prime integer resulting in the same factor

O

D. The value of n can be any prime integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O E. The expression cannot be factored for the given values of n.

Answers

Answer:

A. The value of n can be any positive integer resulting in the same factor

Step-by-step explanation:

Given

x^2 + 2xn + n^2 --- the right expression

n > 0

Required

Possible values of n

x^2 + 2xn + n^2

Expand

x^2 + 2xn + n^2 = x^2 + xn+xn + n^2

Factorize

x^2 + 2xn + n^2 = x(x + n)+n(x + n)

Factor out x + n

x^2 + 2xn + n^2 = (x + n)(x + n)

From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible

x^2 + 2xn + n^2 = (x + n)^2

The above also shows that n can take any positive value.

Hence: (a) is correct

Allen drove 90 miles in 2 and 1/4 hours at a constand speed, how many miles did he drive in one hour.

Answers

Use property of proportion:

miles           time (hs)
   90              2.25
    x                   1

x = 90 ÷ 2.25
x = 40 miles


Write the point-slope form of the equation of the line through the given point with the given slope.Through (-2,0) slope=2

Answers

the\ point-slope\ formula:y-y_1=m(x-x_1)\n===============================\n\n(-2;\ 0)\to x_1=-2;\ y_1=0\ and\ m=2\n\ntherefore\n\ny-0=2(x-(-2))\n\ny=2(x+2)\n\n\boxed{y=2x+4}
Steps:
1. Your point slope formula is
Y-Y1=m(x-x1)
2. Y1=0 m=2 (slope) x1=-2
3. Do substitution
4. Your answer is
Y-0=2(x +2)
Ps: in case you are wondering why I put plus 2 instead of negative 2 is because you are supposed to do the opposite when subtracting a negative

What is the value of x when -8 x - (8x) = -48?

Answers

Answer:

x=3

Step-by-step explanation:

-8x-(8x)=-48

-8x-8x=-48

Collect like terms

-16x=-48

Divide both sides by-16

x=3