Mathematics High School

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. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.

Answers

Answer 1

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

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

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

Answer 2

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.

Learn more about the system of equation visit:

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Related Questions

write the lengths in order from greatest to least

12.7 ( 12 7/10) 12 3/5 12 3/4

Answers

12 3/5, 12 7/10, 12 3/4

Consider the triangle.

Triangle A B C is shown. Side A B has a length of 22, side B C has a length of 16, and side C A has a length of 12.

Which shows the order of the angles from smallest to largest?

angle A, angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B

Answers

Answer:

It's B for edge 2020

Step-by-step explanation:

The order of the angles from smallest to largest is angle B, angle A, angle C and is denoted as option B.

What is a Triangle?

This is referred to a polygon which has three edges and vertices with its longest side being the hypotenuse.

The angle facing the largest side(AB) is always the largest which in this case is angle C, the medium side is side BC which has a length of 16 with the angle facing it as A which is why it is the second largest.

Read more about Triangle here https://brainly.com/question/1058720

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Answers

Answer:

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

simplifying radicals pt.3 please help ASAP and explain if possible

Answers

Answer: It would be the first option. 15√​6

​

Step-by-step explanation:

5√3 = 5x3=15

√18= √9x2

√9=3

√3x2= √6

15√6

Lucy made a pumpkin pie to sell at a bake shop. She cut it into 6 slices and sold each slice for $1.25. How much money will she make if she sells the entire pie?

Answers

She will make $7.50

Answer:

$7.50

Step-by-step explanation:

Lucy cut it into 6 slices so the total is 6 and sold for $1.25 each slice so you multiply the total number of slices by the cost of each slice

6 times 1.25 = 7.5

7.5 = 7.50

So Lucy will make $7.50 if she sells the entire pie

Hope that helps dude !

You are selling pizzas to raise money for a school field trip. Cheese pizza cost $8 and pepperoni pizza cost $9. You need to sell at least two of each kind of pizza, and you want to sell at least $180 worth of pizza. Write an inequality.

Answers

Answer:  $180 ≤ 8c + 9p

Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?​

Answers

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

What is 10/3(fraction) times 6/5(fraction)

Answers

Answer:

4

Step-by-step explanation:

When multiplying those fractions, you multiply the top (numerators) by each other and you'll get 60

Then when you divide the denominators you'll get 15.

60 divided by 15 is 4.

10/3 x 6/5 = 4

Step-by-step explanation:

You multiply the numerators together, same with the denominator. You get 60/15. You divide those numbers so you get 4 as your answer. Hope this helps!

Find the result when 68 is decreased by 50%

Answers

Answer:

34

Step-by-step explanation:

68÷2=34

34 is the correct answer

HELPS ME SOLVE THIS PROBLEM PLEASE please

Answers

Answer:

(0,4,8,12)

Step-by-step explanation:

Range is all the y values.

Answer:

A

Step-by-step explanation:

(7⋅7)⋅(2⋅5) what property is this

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

commutative property of multiplication

How do equations or inequalities help us understand how to interpret whether a solution is possible for a particular real world situation

Answers

If you simplify a polynomial equation and then try to solve each side for 0 and come
Up with an imposible solution to one of the sides, then it tells us that that particular number cannot be used to get satisfy the equation. One real life application of inequalities is in profit maximizing. We use inequality equations to determine which product/production combination should be used in order to generate the most profit

Please please please help me with geometry


“Solve for z. Remember to write your statements and your reasons.”
The reasons are very tricky for me because if we don’t use the right terms we don’t get credit

Answers

Answer:

w r riwuhensjshdbbxbdhdurydhdhhrjjrdjdhjeie9

Answer:

I solve this one already let me check it and will put it in comments

can someone help please ASAP?????????????

Answers

Answer:

B

Step-by-step explanation:

they are real numbers that are greater than 0 but less than 4

NEED HELP
Which equation represents a line parallel to the line shown on the graph?
y=4x-1
y=-4x+3/5
y=1/4x+5
y=-1/4x-1

Answers

Answer:

It is -1/4-1. The slope of the line is -1/4, so the only line that can be parallel is a line with the same slope.

Answer: y=1/4x-2

Step-by-step explanation:

i just took the lesson :)

The supplementary angle of 57° is

Answers

Answer:

123°

Step-by-step explanation:

A supplementary is an angle where two angles add up to be 180°.We can subtract to find its supplement.

180 - 57 = 123°

Best of Luck!

Answer:

123°

Step-by-step explanation:

The supplementary angle is the other angle that makes both angles a linear pair.

So you would do 180° - 57° to solve your answer, which equals 123°

Hope this helps!

Solve the literal equation 4a-2b=8b-5a

Answers

Answer:

if your solving for a its a=10b/9

Step-by-step explanation:

Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)

Answers

Answer:

the answer is B which is y= -2/3x + 29/3

Step-by-step explanation:

7( x-2) -3(x+3) = 5(x-3) + x

Answers

Answer:

-4

Step-by-step explanation:

ig i was right the first time

Which one don’t lie?????!!!!!

Answers

Answer:

y=4x+35

Step-by-step explanation:

This is the answer because he already has 35 employees and gaining 4 employees for an x number of months.

why are there two values of theta if tan theta = 0.4226

Answers

Answer:

[tex]22.91^\circ, 202.91^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan\theta=0.4226[/tex]

To find:

The two values of [tex]\theta = ?[/tex]

Solution:

By given equation:

[tex]\theta = tan^{-1}(0.4226)[/tex]

[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]

Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.

and following is also true:

[tex]tan\theta = tan(180^\circ+\theta)[/tex]

Therefore, another value possible for [tex]\theta[/tex] can be:

[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]

Therefore, the answer is:

[tex]22.91^\circ, 202.91^\circ[/tex]

WILL MARK AS BRAINLIEST BUT PLEASE HURRYY!!!!
What is the y-intercept of a line that has a slope of –3 and passes through point (0, -7)?
O-7
O-3
ОО
O4

Answers

Answer:

(0, -7)

Step-by-step explanation:

y = -3x - 7

y -int - > (0,-7)

hope this helps!

what determines the range of a function?​

Answers

Answer:

all possible y values

Step-by-step explanation:

any y value that goes in the function is in the range , an easier way to determine that would be using graphs.

Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius.

Answers

Answer:

122 ≤ F ≤ 158

Step-by-step explanation:

First we convert the Celsius temperature to Fahrenheit

Mathematically, the formula to use is as follows;

F = 9/5C + 32

So 50 will be;

F = 9/5(50) + 32 = 90 + 32 = 122

70 will be

F = 9/5(70) + 32 = 126 + 32 = 158

So the inequality will be;

122 ≤ F ≤ 158

please help me
What should I do ?

Answers

Answer:

D

Step-by-step explanation:

If a flagpole is 30 feet tall and Mai-Lin is
standing a distance of 15 feet from the flagpole, what
is the distance from her feet to the top of the flagpole?

Answers

Add the information given.

She is 15 feet away:

15 + ? = ?

The pole is 30 feet, and it is asking distance to the top.

15 + 30 = ?

15 + 30 = 45

Answer:

about 33.5 ft

Step-by-step explanation:

The distance from Mai-Lin’s feet to the top of the

flagpole is about 33.5 ft.

N/8=3/4 what is the n?

Answers

Step-by-step explanation:

n/8=3/4

n=3×8/4

n=24/4

n=6

What's the value of r (common ratio)
7, 21, 63, 189, ......
11)
A. 3
B. -3
C.
32
D.
Neither

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]the \: common \: ratio \: is \: 3 \\ i.e \: \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3[/tex]

The answer is A

I already wrote the steps and explanation in the image

Sorry for my broken English QAQ

-40-2(3m+1/2)=7m-2 what does m equal

Answers

Answer: [tex]m[/tex] = −3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2

Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.

−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2

Step 3: Add 6[tex]m[/tex] to both sides.

−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]

Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.

−41 = 13[tex]m[/tex] − 2

Step 5: Add 2 to both sides

−41 + 2 = 13[tex]m[/tex]

Step 6: Simplify −41 + 2 to −39.

−39 = 13[tex]m[/tex]

Step 7: Divide both sides by 13.

−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]

Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.

−3 = m

Step 9: Switch sides.

[tex]m[/tex] = −3

~I hope I helped you! :)~

You start at (-2, 4). You move up 1 unit and down 5 units. Where do you end?

Answers

Answer: (-2,0)

Step-by-step explanation:

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