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?

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

Answer:

x = -15/-3

Step-by-step explanation:

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

Related Questions

Simplify the algebraic expression. 4(x - 3) + 2(x + 5)​

Answers

Answer:

6x+2

Step-by-step explanation:

4(x-3)+2(x+5)

4x-12+2x+10| Distrubutitive Property

6x-2 | Combine like terms

Select all the equations that have the same solution as the equation 4x - 12 = 36
A 4x = 48
B 2x - 6 = 18
С
4x = 24
D
X-4 = 24
E 8x - 24 = 72

Answers

Hi :)

A) 4x = 48: x= 12
B) 2x -6 = 18 x=12


4x - 12 = 36

Add 12 to both sides
4x=36+12

Add 36 and 12 to get 48
4x=48

Divide both sides by 4
x= 4/48
​

Divide 48 by 4 to get 12
x=12

Hope this helps :)

Can someone help me please ???

Answers

Answer:

the answer is x= 10/3 sooo C!!!

hope this helps!!

Step-by-step explanation:

Task: 4 2/3 yards = ? feet
whats the rule

Answers

Answer:

4 2/3 yards = 14 feet

Step-by-step explanation:

1 yard = 3 feet

I NEED HELP ASAP PLEASE!!!!

Answers

I believe the answer is 530

umm i think the answer is 530

Henri owns a cupcake shop that also takes special orders. Henri starts the day baking and frosting 120 dozen cupcakes before the store opens. On Wednesday, he received a special order for 20 dozen assorted cupcakes to be delivered the same afternoon. He also sold 98 dozen cupcakes that day. How many dozen cupcakes does Henri have left at the end of the day? Explain your answer.

Answers

Answer: He has 2 dozen cupcakes

Step-by-step explanation:

120*12=1440

20*12=240

1440-240=1200

98*12=1176

1200-1176=24

24= 2 dozens

Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4

Answers

Answer:

n-2

Step-by-step explanation:

there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. The common difference is -2, so the formula for the nth term is 12-2(n-1).

This can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12.

The 5th term is 14-10=4; the 6th is 14-12=2. And so on. This is the formula The expression for the total number of tiles in the nth term is the sum of the areas of the rectangles, n2 + n(n – 1) + 2, which can be simpli- fied to 2n2 – n + 2. quadratic sequences with visual models these are just examples: The nth odd number is given by the formula 2*n-1.
In linear sequences only, the 'nth-term rule' gives the value of any term in that sequence at position 'n'. It is written as 'xn ± y' where x = the constant difference between term values and y is a particular number. The rule allows you to work out the terms of a sequence. An arithmetic progression is a sequence where each term is a certain number larger than the previous term. The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1.

Which statement must be true to prove j || k?




a.m∠2 + m∠5 = 180

b.∠6 ≅ ∠4

c.∠2 ≅ ∠3

d.∠1 ≅ ∠4

Answers

Answer:

The answer is b. angle 6 must be equal to angle 4.

g = a-c+b, solve for a​

Answers

Answer:

g=a-c+b

g+c-b=a

I hope help you

7x_____=1 Help pls lol

Answers

Answer:

1

Step-by-step explanation:

Answer:

I dont think there an answer to that question can you tell us the options

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5

Answers

Answer:

A,D

Step-by-step explanation:

0.55 minute to 0.1 minute

Answers

Answer:

81.8182% decrease

Step-by-step explanation:

(V2−V1)|V1|×100

=(0.1−0.55)|0.55|×100

=−0.450.55×100

=−0.818182×100

=−81.8182%change

=81.8182%decrease

hewlp me now and uh plkz plz plz

Answers

Answer:

r=22

Step-by-step explanation:

Answer:

r = 22

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] r + 4 = [tex]\frac{3}{4}[/tex] r - [tex]\frac{3}{2}[/tex]

Multiply through by 4 to clear the fractions

2r + 16 = 3r - 6 ( subtract 2r from both sides )

16 = r - 6 ( add 6 to both sides )

22 = r

The scale of a map says that 2 cm represents 10 km. What is the actual number of kilometers that is represented by 6 centimeters on the map?

Answers

Answer:

6 times 10 to the minus 5

6 cm on the map represents 30 kilometers in reality, with a scale of 2 cm representing 10 km.

In the given map, the scale is 2 cm represents 10 km.

Each centimeter on the map represents 5 km (10 km divided by 2 cm).

We can use the scale of the map, which states that 2 cm represents 10 km, to determine the precise number of kilometers that 6 centimeters on the map represent.

If 2 cm represents 10 km, then 1 cm represents 10 km / 2 cm = 5 km.

6 centimeters on the map represent 6 cm × 5 km/cm = 30 kilometers in reality.

learn more about scale here

brainly.com/question/34212498

#SPJ2

-4x-y+4 when x=-1 4 and y=3

Answers

Answer:

57

Step-by-step explanation:

-4x - y + 4

-4(-14) - 3 + 4

56 - 3 + 4

53 + 4

57

Answer:

2

Step-by-step explanation:

The values of x and y are given. So, plug in the given values into the equation.

-4x-y+4

-4(-1/4)-(3)+4=?

1-3+4=?

=2

(I assumed that you wrote -1/4, by the way)

Find the measure of the exterior angle.

Answers

Answer:

108°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2a is an exterior angle, thus

2a = a + 10 + 44 = a + 54 ( subtract a from both sides )

a = 54

Thus 2a = 2 × 54 = 108° ← exterior angle

how do I find the value of x so f(x)=7​

Answers

Answer:

x=5

Step-by-step explanation:

Here we are given with a graph.

we have been asked to find the value of x for which

As we know that , to find the value of x for the given value of f(x), we need to look onto the vertical axis, and mark a dot on the given value now draw a line perpendicular to vertical axis so that it cut the given straight line, and where they intersect draw another line perpendicular to the horizontal axis and you will get the value where it crosses the horizontal axis.

Hence we get x=5, then f(x)=7.

Angle B=48 and angle E=x+4.
Please help me find x

Answers

It’s E=x+ 4 because it has a X IN IT

Solve the equation x/3– 9 = 11

Answers

Answer:

x=60

Step-by-step explanation:

(60/3)-9=11

20-9=11

What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?

Answers

Answer:

y=-3x+29

Step-by-step explanation:

y=mx+b or c

m=slope=-3

x=10

y=-1

input the given

-1=-3(10)+b

-1=-30+b

29=b

y=-3x+29

Solve for X, and show the equation you would use to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

There are both consecutive interior angles and are supplementary.

The equation should be written like this:

5x + 50 + x + 10 = 180

Step 1: Simplify both sides of the equation.

5x + 50 + x + 10 = 180

(5x+x) + (50+10) = 180 (Combine Like Terms)

6x + 60 = 180

6x + 60 = 180

Step 2: Subtract 60 from both sides.

6x + 60 − 60 = 180 − 60

6x = 120

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{120}{6}[/tex]

x = 20

Hope it helps!!

which model represents the equation shown below
-4x+(-2)=3x+(-5)

Answers

Answer:

The answer on edge is C

Step-by-step explanation:

Hope I helped

Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?

Answers

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for x

Distribute: -5x + 7 + 4x = -6x + 8Combine like terms: -x + 7 = -6x + 8Add 6x to both sides: 5x + 7 = 8Subtract 7 on both sides: 5x = 1Divide by 5 on both sides: x = 1/5

Step 3: Check

Plug in x to verify it's a solution.

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

Solve

13x - 15 = 12x + 16

Answers

Answer:

x = 31

Step-by-step explanation:

I will make the explanation easy for you to understand.

Step 1: Subtract 12x from both sides.

13x − 15 − 12x = 12x + 16 − 12x

x − 15 = 16

Step 2: Add 15 to both sides.

x − 15 + 15 = 16 + 15

x = 31

Hope it helps!!!

alguma menina de 14 anos no tédio to querendo conhecer gente nova?

Answers

Answer:

Step-by-step explanation:

Oi eu tenho 15 anos

Answer:

OIE tudo bem?

eu tenho 15

NEED HELP ASAP PLS!!!

A high school club is conducting a cupcake sale at a local fair to raise money for a trip. The club members are baking a total of 444 cupcakes. Each cupcake will sell for 3.00. The display tables cost $75.00 to rent.


Part A:
If n is the Number of cupcakes sold and p is the profit earned, which is the Independent in variable and which is the dependent variable? Explain.

Independent variable:

Dependent variable:

Explain:

Answers

Answer:

independent variable: cupcakes sold

dependent variable: profit earned

explain: no profit earned without cupcakes sold.

Step-by-step explanation:

Answer:

Independent Variable: n = Number of cupcakes sold

Dependent Variable: p =  Profit, no profit without the sale of cupcakes

Step-by-step explanation:

Profit depends on the number of cupcakes sold.

Round the number to the place of the underlined digit. The underlined digit is supposed to be the 7.
42.76

Answers

Answer:

42.80

Step-by-step explanation:

5 or up you round up. 4 or down, you round down. So since 6 is bigger than 5, you round up.

Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).
The midpoint is

Answers

Answer:

[tex]Midpoint = ( -1 , 4.5)[/tex]

Step-by-step explanation:

[tex]\frac{-3 + 1}{2}[/tex]  [tex],[/tex] [tex]\frac{3+6}{2}[/tex]

[tex]\frac{-2}{ 2}[/tex] [tex],[/tex]  [tex]\frac{9}{2}[/tex]

[tex]Midpoint = (-1, 4.5)[/tex]

Hope this helps

plz mark brainliest

The midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

What is a midpoint?

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

The midpoint is calculated by using the formula:- ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2.

Given points are R(-3,3) and S(1,6). The midpoint of the given points are calculated as below:-

M = (-3+1 ) / 2 , ( 3 + 9 ) / 2

M = ( -1,4.5)

Therefore, the midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).

To know more about a midpoint follow

https://brainly.com/question/5566419

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what does x equal to?

Answers

Answer:

27.3

Step-by-step explanation:

x = (36.4 x (49 - 28))/21 = 27.3

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x = 4

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