A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of the yard?

Answers

Answer 1

Answer: Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
   = 12 - 4 feet
   = 8 feet
Then
Perimeter of the yard = 2 (length + width)
   = 2(12 + 8)
   = 2 * 20 feet
   = 40 feet.
So the perimeter of the yard is 40 feet.

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Answers

Solve 3x-8y=-26 for x

Add 8y to both sides

3x-8y+8y=-26+8y

3x = 8y-26

Divide both sides by

3x/3 = 8y-26/3

x = 8/3 y + -26/3

Substitute 8/3 y + -26/3 for x in -5x+6y = 14

-5x+6y = 14

-5(8/3 y + -26/3 ) +6y = 14

Simplify both sides of the equation

-22/3 y + 130/3 = 14

Add -130/3 to both sides

-22/3 y + 130/3 + -130/3 = 14 + -130/3

-22/3 y = -88/3

Divide both sides by -22/3

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Substitute 4 for y in x= 8/3 y + -26/3

x= 8/3 y + -26/3

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x = 2

Answer : x = 2 and y = 4

I hope that's help my friend !

Please if you have any question just asking and I will do my best to help you understand it .

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Answers

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

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So, she takes the two pills together after 18 hours.

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Answers

5.4
9*6 is 54 so 0.9*6 is 5.4

5.4 is your answer hop that helps

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Answers

Answer: 5 containers

Step-by-step explanation:

Step 1

Given that

Total amount of potato salad = 10 1/2

amount of salad in each container = 2 1/4

Total number of containers = ?

Step 2

Divide the total amount of potato salad by the amount of salad each container can hold

Total number of containers=10 1/2 / 2 1/4 = 21/2 x 4/9= 84/18 = 4 3/5

which can also be written as 10.5 / 2.25= 4.6

Sheila will need 5 containers because 4 will be filled and additional 1 will be partially filled.

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Answers

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Answers

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b) 28 ⇒ 27.5 ; 27.9 ; 28.1 ; 28.4
c) 32 ⇒ 31.5 ; 31.9 ; 32.1 ; 32.4
d) 50 ⇒ 49.5 ; 49.9 ; 50.1 ; 50.4
e) 67 ⇒ 66.5 ; 66.9 ; 67.1 ; 67.4
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