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Ivenika [448]
3 years ago
8

The length of a rectangle is three times it's width. The perimeter of the rectangle is 100 inches. What are the dimensions of th

e rectangle and what is the length and width
Mathematics
2 answers:
Pavel [41]3 years ago
4 0

Answer:

Dimensions : 37.5 * 12.5

length : 37.5

width : 12.5

Step-by-step explanation:

let x = length and y = width

x = 3y based on info from problem

Perimeter = 2(length + width)

100 = 2(x + y)

substitute 3y for x

100 = 2(3y + y)

100 = 2(4y)

100 = 8y

y = 12.5

x = 3(12.5) = 37.5

erastovalidia [21]3 years ago
3 0

Answer: length = 37.5 inches

Width = 12.5 inches

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the rectangle is 100 inches. This means that

100 = 2(L + W)

Dividing through by 2, it becomes

50 = L + W- - - - - - - - - - - -1

The length of a rectangle is three times its width. This means that

L = 3W

Substituting L = 3W into equation 1, it becomes

50 = 3W + W

4W = 50

W = 50/4 = 12.5

L = 3W = 3 × 12.5

L = 37.5

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2 years ago
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
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Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

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A.) 65x + 35X + 50 = 250

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35X = cost of pouring/finishing concrete per cubic yard, X is yd³

50 = delivery cost

250 = the money you have

B.) 400 + 15n = 505

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55 = total cost of clothes

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