The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?

Answers

Answer 1

Answer:  

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

Answer 2

The length of the football field is 360 feet.

The length of the tennis court is 78 feet.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.

And,  It is also 282 feet longer than a tennis court.

Let the length of the tennis court = x

So, The length of the football field = 48 + 4x

Here, The length of the football field is 282 feet longer than a tennis court.

So, We get;

⇒ 48 + 4x = 282 + x

⇒ 4x - x = 282 - 48

⇒ 3x = 234

⇒ x = 78

Thus, The length of the football field = 48 + 4x

                                                         = 48 + 4×78

                                                         = 48 + 312

                                                          = 360 feet

The length of the tennis court = x

                                              = 78 feet

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Step-by-step explanation:

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Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
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Answers

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

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So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

There are Five touchdowns were made during the game.

Here,

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.

After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.

The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.

We want to know the number of touchdowns made during the game.

What is system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

Now,

Let the number of touch downs be x

So, the total points earned through touchdowns is;

6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So, the total number of score times will be ;

x + y + y - 1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

Hence;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So, now solve this;

From ( ii ), y = 13 - 2x

Put this into ( i )

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

Hence, There are Five touchdowns were made during the game.

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Find the value of x.

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#CarryOnLearning

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Step-by-step explanation:

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Step-by-step explanation:

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(substitute z with 28)

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Answers

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Step-by-step explanation:

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Answers

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1)

2 12 Yes its Proportional
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2 6 Yes proprional
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3 2.25 Yes proportional
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4)


2 10 —
3 15 m=5
4 20 y=5x
6 30

HELPPPP MEE PLEASEEE!!

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Answer:

6 , 1

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Step-by-step explanation:

Just swap the numbers.

Answer:

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     4             3

     3             4                

Step-by-step explanation:

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Step-by-step explanation:

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The 8th graders are having a bake sale to raise money for their field trip to a water park.
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Answers

Answer:

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Adam sold 5 t-shirts and 3 sweatshirts for $48.
Write a system of equations to represent this
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sweatshirt.
Determine the price of one t-shirt and the price
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Answers

Answer:

$3.6 = cost of a t-shirt

$10 = cost of a  sweatshirt

Step-by-step explanation:

Given:

10 t-shirts and 2 sweatshirts = $56.

5 t-shirts and 3 sweatshirts = $48.

x = cost of a t-shirt

y = cost of a  sweatshirt

Find:

Price

Computation:

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5x + 3y = 48........eq2

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10x + 6y = 96.........eq3

From eq3 - eq1

4y = 40

y = 10

from eq1

10x + 2(10) = 56

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x = 3.6

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Answers

Answer:

x = -4. y= 2 is the answer

Step-by-step explanation:

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2

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