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jeka94
3 years ago
11

A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the

width of the bed. The area of the garden bed is 62.5 square feet. What is the perimeter of the garden bed, in feet?
Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

2.5W +  {2W}^{2}  = 62.5 \\  \\  {2W}^{2}  + 2.5 - 62.5 \\  \\  use \:  quadratic \:  solution \\\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac}}{2a}

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

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4 0
3 years ago
If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

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

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
Pls, help me it has been a missing assignment for too long :/
Natasha2012 [34]

Answer:

Snail A: 0, 5, 10, 15, 20, 25, 30

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Snail B travels at a rate of 18 inches in 1 hour or 18 inches per hour.

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3 0
3 years ago
A recipe call for 3/4 c of chopped pecans Brent wants to triple the recipe . Which numerical expression represents the amount of
mrs_skeptik [129]

Answer: 2 1/4

Step-by-step explanation:

From the question, we are told that a recipe call for 3/4 c of chopped pecans

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5 0
2 years ago
Solve for x: 3-(2x-5)<-4(x+2)
trapecia [35]
3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand
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Remove unnecessary parentheses
3-2x+5=-4*(x+2)

Reorder the terms in parentheses
3-2x+5=+(-4x-8)

Remove unnecessary parentheses
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We move all terms containing x to the left and all other terms to the right.
-2x+4x=-8-3-5

We simplify left and right side of the equation.
+2x=-16

We divide both sides of the equation by 2 to get x.
x=-8
6 0
3 years ago
Read 2 more answers
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