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.

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Related Questions

SIMPLIFY THE EXPRESSION.
9(1 - 7x)

Answers

Answer:

9-63x

Step-by-step explanation:

9(1-7x)

9-63x

Answer:

9 - 63x

Step-by-step explanation:

Apply the distributed property:

9 × 1 = 99 × 7x = 63xPut them together: 9 - 63x

I hope this helps!

Write the equation of the quadratic function with points (1, 2), (3, 3), and (-3,6)

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Answer:

Sorry i cant help but i hope you do well

Step-by-step explanation:

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733 porque puedes dividir 712 why 702 entre 2 why puedes dividir 725 entre 5.

plz help it’s due tomorrow, I need to show work

Answers

Answer:

I can't add picture for some reason so u have to read explanation :(

Step-by-step explanation:

First, turn everything into an improper fraction.

you get 11/3 x 9/2 ÷ 5/4

Next, according to PEMDAS, you multiply first and you get

33/2. DIvide that by 5/4 so

33/2 ÷  5/4

So you get 33/5 or as a mixed fraction, 6 3/5

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If given an Equation, you will do which of the following (Check all that apply)?
a
Solve
b
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Evaluate
с
d
All of the Above

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D all of above is the answer
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350,000 is halfway pint

Answer:

350,000

Step-by-step explanation:

hope this helped!!!

Jessica has -$15 dollars in her bank account. Jonathan has less money than Jessica in his bank account. Which value could represent the amount of money in Jonathan’s bank account?

Answers

Answer:

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Step-by-step explanation:

Sorry if this is not what you are looking for.

(−2,−3) after a translation right 2 units and up 4 units?

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Answer:

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Step-by-step explanation:

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1. What is the wavelength of a radio wave broadcast at 150 MHz?

Answers

Hope this helps..........

The value of the wavelength will be equal to 2 meters.

It is given that a radio is broadcasting at 150 MHz .

We have to calculate the wavelength.

What is the formula for wavelength ?

The wavelength is given by L = c/f , where c = speed of wave and f is the frequency of wave.

L = c/f

Let's assume c = 3 × 10^8

Given that frequency (f) is 150 MHz .

Wavelength (L) is approximately ;

L= (3 × 10^8 )/ (150,000,000)

L= 2 meters

Thus, the wavelength of a radio wave broadcast at 150 MHz will be equal to 2 meters.

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Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Isabella wants to order the race times from her slowest time to her fastest time. Sort the decimals in order from greatest to least.

Answers

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

whats further maths subject all about​

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Answer:

give the other chick brainliest!!

Step-by-step explanation:

Question and answers r in the pic

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Answer:

on khan

Step-by-step explanation:

don't know answer. too much questions in that question

Solve each of these equations.
3y-4=6-2y

Answers

Answer:

y = 2

Step-by-step explanation:

3y + 2y = 5y

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5y = 10

10/5 = 2

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Answer:

Quest 5. No, 2^4 = 16, 2.4 =2 x 4 = 8.

Quest 6. let No. of cells = Nc, let No. of Hours = Nh.

then Nc = (6hrs x 2cells)/1hr = 12 cells.

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so altogether its all 8, 2s.

Alg1 S1-3 USA OL FY21
Question: 1-15
Ifp and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
The product pq is irrational.
The product pt is irrational.
The quotient
is irrational
0 The product st is irrational.
The quotient is rational.
Previous
Pause

Answers

Answer:

The product st is irrational.

The product pt is irrational.

Step-by-step explanation:

Let p = 3/4 and q= 5/9

Now multiplying these two non zero rational numbers

3/4 (5/9)= 15/36 ( this is also a rational number)

An irrational number is one which cannot be expressed in the form of p/q where p and q are integers( in the form of a simple expression) like the rational number.

Now let the two irrational numbers  s and t be √3 and √5

Now multiplying the two irrational numbers we get

st = √3  √5

st =√15  ( this is also an irrational number)

√15 cannot be expressed in the form of a simple fraction.

Now multiplying pt

3/4 * √5= 3√5/4  ( this is also irrational)

In the Everglades National Park in Florida, there are 200 species of birds that migrate. This accounts for !" of all the species of birds sighted in the park. A. Write an equation to find the number of species of birds that have been sighted in Everglades National Park. B. There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park? Explain.

Answers

Answer:

A)[tex]\frac{4}{7} y = 200[/tex]

B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

Step-by-step explanation:

Total number of species of birds that migrate = 200

We are given that [tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park

a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.

Let y be the number of species of birds that have been sighted in Everglades National Park.

We are given that[tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park

So,  [tex]\frac{4}{7} y = 200[/tex]

[tex]y = \frac{200 \times 7}{4}[/tex]

y=280

B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?

So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

Answer:

the one at the bottom

Step-by-step explanation:

C
Paul can spend no more than $26
on his pizza order. Each pizza costs $8 and there
is a $3 delivery fee.

Answers

Answer:

Paul can afford 2 pizzas

Step-by-step explanation:

Equation: 26 = 3 + 8x

Solve for x

26 - 3 = 23

8x = 23

23/8 = 2.875

Round down because he can't buy half a pizza

2 pizzas

Answer:

Paul can buy the pizza with 15 dolars left

step-by-step explanation:

8+3=11

A relation is (1 point)
the output (y) values of the relation
the input (x) values of the relation
a set of points that pair input values with output values
x and y values written in the form (x, y)

Answers

Answer:

a set of points that pair input values with output values

Step-by-step explanation:

The set of points that relate, input values with output values.

A relation is a set of points that pair input values with output values.

Therefore the correct option is C.

In mathematics, a relation is a set of ordered pairs, where each pair consists of an input value (x) and an output value (y) that are related to each other in some way.

These ordered pairs represent the relationship between the input and output values of the relation.

So, a relation can be represented as a set of points in the coordinate plane, where each point represents an ordered pair (x, y). The relation itself is not specifically the input (x) values or the output (y) values, but rather the collection of all the paired values.

Therefore the correct option is C.

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Answer:

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Step-by-step explanation:

for every 6 cups of flour in bread recipe there are 2 cups of milk

Answers

Answer:

3

Step-by-step explanation:

3

Write an equation of the line in STANDARD FORM with a slope of 3 and passes through the point (6,-2) in standard form using the formula
y-y1 = m (x-x1) please!

Answers

The formula has been given already, just substitute the values.

m is the slope = 3

y1 = -2

x1 = 6

y - (-2) = m (x - (6))

y + 2 = 3(x - 6)

anaya is viewing her bank account online. She only sees 3 entries

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What is the full question? This is just a statement.

Need full questions

What is AB? Round your answer to the nearest hundredth

Answers

Answer:

A is -3 units B is 3 units which mean -3 + 3= 0

Step-by-step explanation:

math question plz help

Answers

Answer:

[tex]12y^{3}[/tex]

f(2)-f(4) when f(x)=2x+1
Evaluate and solve

Answers

Answer:

f(2)= 5 and f(4)=9= -4

Step-by-step explanation:

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[tex]f(x) = 2x + 1[/tex]

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[tex]f(2) = 2(2) + 1[/tex]

[tex]f(2) = 4 + 1[/tex]

[tex]f(2) = 5[/tex]

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[tex]f(4) = 2(4) + 1[/tex]

[tex]f(4) = 8 + 1[/tex]

[tex]f(4) = 9[/tex]

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[tex]f(2) - f(4) = 5 - 9 = - 4[/tex]

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Replace m with a whole number to make the statement true. 4(m + 3) = 36

Answers

Answer:

m = 9

Step-by-step explanation:

9 + 3 is 12.

12 x 4 is 36.

3m + 1 = 10

this is a ixl question and i need the answer it’s inequalities and equations 7 grade

Answers

3m+1=10
so you’d do -1 on both sides so. 1-1 and 10-1
then it’d be 3m=10
you want the variable (m) by its self. so you’d divide 3 by both sides.
so 3 divided by 3 and 10/3
so it’d be m=10 over 3 (fraction ten on top 3 on bottom) or m=3.3(the three after the decimal is repeated)

9514 1404 393

Answer:

  m = 3

Step-by-step explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

  3m + 1 - 1 = 10 - 1

  3m = 9 . . . . . . . . . simplify

__

Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

  (1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

  m = 3 . . . . . . . . . simplify

The solution is m = 3.

_____

The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

Solve for x: -3 ( 4x + 3 ) + 4 ( 6x + 1 ) = 43

Answers

Answer:

X=73 that’s just simple.

Step-by-step explanation:

anyone able to help me

Answers

Answer:

2x-3=-x+3

Step-by-step explanation:

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