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allsm [11]
2 years ago
11

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 96 ​yards, what are its​

dimensions?
What is the​ width? ______
What is the​ length? ______
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
8 0
Width = x
length = 2x

96 = x + x + 2x + 2x
96 = 6x
x = 16

2x is simply 16 × 2.
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borishaifa [10]

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7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

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Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

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x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

4 0
3 years ago
What is the value of x?
garik1379 [7]

Answer:

<h2>x = 30°</h2>

Step-by-step explanation:

The angle 30° and 2x are complementary angles.

Two angles are called complementary angles, if their sum is one right angle (90°).

Therefore we have the equation:

30 + 2x = 90          <em>subtract 30 from both sides</em>

2x = 60      <em>divide both sides by 2</em>

x = 30

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