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:

https://brainly.com/question/25976025

#SPJ2


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!

math question plz help

Answers

Answer:

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

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

anyone able to help me

Answers

Answer:

2x-3=-x+3

Step-by-step explanation:

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

Answers

Answer:

y = 2

Step-by-step explanation:

3y + 2y = 5y

6 + 4 = 10

5y = 10

10/5 = 2

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)

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

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

Answers

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

Need full questions

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

Answers

Answer:

(0,1)

Step-by-step explanation:

moving right 2 units makes it (0,-3)

moving up 4 units makes it (0,1)

Question and answers r in the pic

Answers

Answer:

on khan

Step-by-step explanation:

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

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:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

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

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

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

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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 ≤ ⇔ ≥.)

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)

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

Answers

Answer:

3

Step-by-step explanation:

3

HELPPPPPPPPP MEEEE ASAPPPPPPPP

Answers

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.

if 1,024 cells, then

Nh = (1hrs x 1,024cells)/2hrs = 512 hrs.

Quest 7. No, cos 10^7 is only 10,000,000, so 39 & 10 million are not any way equal.

Quest 8. 1 = 1^3, 8 = 2^3, 27 = 3^3, 1 = 1^3, 64 = 4^3, 125 = 5^3,

Quest 9. 2^8 = 2 x 2 x 2 x 2 x 16 = 256, this cos 256 is a product of 8, 2s & there are 4, 2s in 16.

so altogether its all 8, 2s.

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.

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.

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:

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.

To learn more about wavelength , click here ;

https://brainly.com/question/24846879

#SPJ6

$86 for 8 hours of babysitting. how much do u make for one hour?
unit rate :


plz help meee ​

Answers

10.75 basically in order to get my questions answered i need to answer others so dont mind me lol

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

Answers

Answer:

X=73 that’s just simple.

Step-by-step explanation:

¿Cuál de estos es un número primo? 733 712 702 725​

Answers

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

Question 3 (2 points)
If given an Equation, you will do which of the following (Check all that apply)?
a
Solve
b
Simplify
Evaluate
с
d
All of the Above

Answers

D all of above is the answer
It’s D all the above

The halfway point between 300,000 and 400,000

Answers

350,000 is halfway pint

Answer:

350,000

Step-by-step explanation:

hope this helped!!!

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

Answers

Answer:

Sorry i cant help but i hope you do well

Step-by-step explanation:

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:

x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.

Step-by-step explanation:

Sorry if this is not what you are looking for.

whats further maths subject all about​

Answers

Answer:

give the other chick brainliest!!

Step-by-step explanation:

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:

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.

Learn more about Relation click;

https://brainly.com/question/6241820

#SPJ2

the graph shows the cost of joining a gym in town a

Answers

Answer:

which graph?

Step-by-step explanation:

Other Questions
can you please help me helppp pleasee (picture included) Which statement best describes the general pattern of precipitation in Texas?Moving north to south, the climate moves from wettest to driestMoving east to west, the climate moves from wettest to driest.Moving south to north, the climate moves from wettest to driest.Moving west to east, the climate moves from wettest to driest. Read this excerpt from Immigrant Kids, by Russell Freedman.Edward Corsi, who later became United States Commissioner of Immigration, was a ten-year-old Italian immigrant when he sailed into New York harbor in 1907:My first impressions of the New World will always remain etched in my memory, particularly that hazy October morning when I first saw Ellis Island. The steamer Florida, fourteen days out of Naples, filled to capacity with 1600 natives of Italy, had weathered one of the worst storms in our captain's memory; and glad we were, both children and grown-ups, to leave the open sea and come at last through the Narrows into the Bay.My mother, my stepfather, my brother Giuseppe, and my two sisters, Liberta and Helvetia, all of us together, happy that we had come through the storm safely, clustered on the foredeck for fear of separation and looked with wonder on this miraculous land of our dreams.The purpose of this excerpt is to help readers understandthe excitement and relief immigrants felt upon arriving in America.that the Narrows into the Bay was a very dangerous passage.that Italian children were very sad after leaving their home country.the weather the immigrants experienced on that day in October 1907. Help ya girl out with this one please ASAP EDGE 2020Which trigonometric functions have the same maximum value?y = arcsinx and y = arccosxy = arcsinx and y = arctanxy = arctanx and y = arcsecxy = arccosx and y = arcsecx Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation? forest cannot control flood ture or flase Help pls I dont think swing is the answer I will give brainliest in a survey of a group of people, it was found that 80 people like to drink tea 55 like coffee 25 like both and 30 people did not like both tea and coffee. Your mom still thinks Pluto is a planet, though it was downgraded to a "dwarfplanet" in 2006. Is she spacing out or experiencing: *Anchoring BiasBlind-spot biasConfirmation biasNegativity biasOutcome bias What provides the energy to add the phosphate group back to ADP to formATP?O oxygen we breatheO excerciseO ATP in food we eatO the food we eat For every pound a company spends on advertising, it spends 0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form. Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?Negative StartFraction 14 Over 25 EndFractionNegative StartFraction 7 Over 25 EndFractionStartFraction 7 Over 25 EndFractionStartFraction 14 Over 25 EndFraction A bar of steel 340 cm long A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus MP.1 Make Sense and PersevereThe Environmental Club's goal is to collect9,525 cans by the end of four months. Howcan you find the number of cans the clubneeds to collect in September to meet theirgoal? How many more cans do they need?MonthDATAJuneJulyAugusthow many more cans did they need A cellphone costs 120 dollars. The price is reduced 30 percent for a sale. How much is the saving OMG I NEED HELP NOWWW! THIS HAS TO BE QUICK SO I CAN CARVE PUMPKINS. HURRY AND HAPPY EARLY HALLOWEEN!! AND I NEED HELLP ASAP. THIS IS MY QUESTION:Emma is a biomedical engineer who designs robots that perform intricate surgeries. Into which two career clusters that we have considered so far could Emmas job fall? Give a reason for your choices. WORTH EXTRA PTSS!!! aka, this is career not medicine!!! Choose the response that shows the commas in the appropriate.The engineer admired the smooth workings of the large complex shiny gears in the machinery.a. The engineer admired the smooth workings of the large, complex, shiny gears in the machinery.b. The engineer admired the smooth workings, of the large, complex shiny gears in the machinery.CorrectC.