MATHEMATICS MIDDLE SCHOOL

A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box. How many people can fit on the field if the school wanted to cover the entire area?2782 people

3022 people

4212 people

6480 people

Answers

Answer 1
Answer:

Answer:

4,212 people

Step-by-step explanation:

We are given;

  • Dimensions of the football field are 120 yards by 54 yards
  • 26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

  • We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

                          =  6480 square yards

  • Then we get the area of the box

Area of the box = 5 yards × 8 yards

                           = 40 square yards

  • We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

                             = 6480 sq yards ÷ 40 sq yards

                             = 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

                                            = 4,212 people

Therefore, the number of people that can fit in the football field is 4,212 people.

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Answers

Answer:

The area of the top of the large cake is 254.34 in2 and the small cake is 28.26 in2. The top of the large cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Area of a circle is TTr^2 (TT is pi).

Large cake: 3.14x9^2=254.34

Small cake: 3.14x3^2=28.26

254.34/28.26=9

Answer:

  • The area of the small cake is 81π in 2.
  • The area of the large cake is 9π in2.
  • The top of the large cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Find the area of the small cake in terms of π.

A = πr2                       Use the formula.

A = π(3)2                    Substitute. Use 3 for r.

A = π × 9               Evaluate the power.

Find the area of the top of the large cake in terms of π.

A = πr2                        Use the formula.

A = π(9)2                     Substitute. Use 9 for r.

A = π × 81                 Evaluate the power.

Find how much larger the area of the top of the large cake is compared to the area of the small cake.

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The number two in the expression 5 + 2x is called the coefficient of x how does changing the coefficient to 6 change the meaning of the expression

Answers

Changing the coefficient of x to 6 changes the meaning of expression as 5 is added to 6 times x

Solution:

Given that number 2 in the expression 5 + 2x is called the coefficient of x

We are asked to find what happens when changing the coefficient to 6 change the meaning of the expression

In the expression,

5 + 2x

This means 5 is added to 2 times x or 5 is added to twice of x

Number 2 is called coefficient of x

When we change this coefficient to 6, the expression becomes,

5 + 6x

So now the meaning of expression becomes,

5 is added to 6 times x

So changing the coefficient of x changes the meaning of expression

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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