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Westkost [7]
4 years ago
5

A community is planning to build a rectangular garden.the width of the garden is 27/4 feet and the perimeter of the garden is 37

.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed.
Help please
Mathematics
1 answer:
Crank4 years ago
7 0

We know that the width of the garden is = \frac{27}{4} feet = 6.75 feet

and Perimeter of the garden is = 37.5 feet

Also, we know that for a rectangular space perimeter = 2 * (l + w)

⇒ 37.5 = 2 * (l + 6.75)

⇒ 37.5 = 13.5 + 2*l

⇒ 24 = 2*l

⇒ l = 12 feet

Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden

Area = l * w

⇒ Area = 12 * 6.75

⇒ Area = 81 square feet

Hence, they require 81 square feet of mulch

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satela [25.4K]

Using a system of equations, it is found that Gina got 22 questions correct in the test.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of questions she got correct.
  • Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

x = 22

Gina got 22 questions correct in the test.

More can be learned about a system of equations at brainly.com/question/24342899

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Plug y=x^2 into the equation of the ellipsoid:

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Then the intersection is such that

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\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

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y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}

z=\sqrt{\dfrac{1371}{196}}\sin t

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