In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.

Answers

Answer 1

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]


Related Questions

8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?

Answers

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

The wood framing cost $4.82 per foot. How much the framing cost for a rectangular picture that measures 3 f t by 5 f t?​

Answers

I think the answer is 77.12

What is a ratio equal to 56:64​

Answers

Answer:

A ratio equal to 56:64 would be 7:8.

Step-by-step explanation:

7:8 is the simplest form

Answer:

Simplify it to get an equivalent ratio, i.e 7:8!

Hope this helps :))

What is a point.? endless flat surface,line that cross, an exact location a, straight path

Answers

Answer:

an exact location should be the right answer

Help me please this is a function questions need asap

Answers

Answer:

y hfaczdg eek Robocop teardrop outbound liquidz

Juan is debating whether or not to continue the recent lunch special promotion at his restaurant. The following graph shows the profit earned, y, from the number of lunch specials ordered per hour, x.

Answers

Answer:

Max profit is 115. The resturant will break even after 10 lunch specials. The interval on which the restaurant makes a profit is (0,10).

Step-by-step explanation:

What is the Sum of Roots of x^2+9x+14=0?

Answers

Answer:

x=-2,x=-7

Step-by-step explanation:

quadratic equation form ax^2+bx+c=0

Answer:

- 9

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then

the sum of the roots = [tex]\frac{-b}{a}[/tex]

x² + 9x + 14 = 0 ← is in standard form

with a = 1 and b = 9 , thus

sum of roots = [tex]\frac{-9}{1}[/tex] = - 9

Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?

Answers

Answer:

40

Step-by-step explanation:

x - 13 = 22 linear equations

Answers

Answer:

x = 35

Step-by-step explanation:

x - 13 = 22

Add 13 to each side

x - 13+13 = 22+13

x = 35

See attachment for math work and answer.

Every quotitent of two integers is an integer

Answers

That’s true in some cases but mostly it’s true so yes the quotient of two integers is sometimes an integer

Type your response in the box. We each have a different level of health, and that level of health depends on many factors, including our lifestyles and habits. Some factors, however, might be outside our control. In your opinion, which is the biggest factor in determining how healthy you are? your level of physical activity your diet your level of stress factors outside your control, such as heredity Font Sizes

Answers

Answer:

Diet

Step-by-step explanation:

Health & fitness level has multiple factors. Some internal choice factors, some externally ascribed factors. Eg(s) - Diet, Excercise & Heredity, pollution respectively.

In my opinion, biggest factor affecting health is : Diet. As, it can affects health positively & negatively, by major extent. It can also help overcoming other health detrimental factors - eg lack of excercise, heredity issues, pollution related issues etc.

31 SPORTS Sixteen students in Mr. Prank's gym class each
participate in one or more sports as shown in the
table. Examples 2 and 3
Mr. Frank's Gym Class
Basketball Soccer Volleyball
Ayanna Lisa Pam
Ayanna Lisa
Sue
Pion
Shin
Lisa Tyron Mex
Ron
Max
Alda
Max
Aida
Juan
Ito
Evita
Juan
Nela
Percy
Tino
Kai
Percy
Nella
a. Let B represent the set of basketball players, S
represent the set of soccer players, and V represent the
set of volleyball players. Draw a Venn diagram of this
situation.
b. Find Sn V. What does this set represent?
c. Find S. What does this set represent?
d. Find BUV. What does this set represent?

Answers

A. Correct answer...................

y = -5x– 1
y = -5x + 7

Answers

Answer:

see below

Step-by-step explanation:

y = -5x– 1

y = -5x + 7

Since they are both equal to y, we can set them equal to each other

-5x-1 = -5x+7

Add 5x to each side

-5x-1+5x= -5x+7+5x

-1 = 7

This is not true so there is no solution

The lines are parallel with different y intercepts

The answer is “There is on solution “:)

A bakery sold a total of 500 cupcakes in a day, and 93% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?

Answers

I also got 465 lol. What grade are you all in?

Please help with this problem

Answers

Step-by-step explanation:

the answer is because AP is not congruent to PB

PLEASE HELP ME with this equation I’m struggling

Answers

Answer:

describe this

Step-by-step explanation:

the first one is the one that is closest to horizontal.

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Answers

Answer:

Answer is A. I get it right. :3

Answer:

a

Step-by-step explanation:

16+4|5x-4(x+2)|=7-2x

Answers

there are no solutions

There are no solutions like kathy0315 said

The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?

A. the input when the output is zero

B. the output when the input is zero

C. the input when the output is 1

D. the output when the input is 1

Answers

Answer:

B

Step-by-step explanation:

got stuck on it too lol

The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.

What is perimeter?

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Since sum of side lengths of the triangle of vertices: 3

Area: ½ × base × height

Number of edges: 3

Internal angle: 60° (for equilateral)

The Sum of interior angles is 180°

Therefore, the coordinates of the intersection indicate will be;

B. the output when the input is zero.

Learn more about perimeter here:

https://brainly.com/question/10466285

#SPJ2

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.

a and b are positive integers and a+b=2009!

what is the amount of ordered pairs of (a, b)?

Answers

Answer:

[tex]2000 \: and \: 9.[/tex]

[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]

Let's consider a much smaller value and work our way up to the factorial 2009!

Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.

The only solution to a+b = 2 is a = b = 1 as mentioned.

----------

Now move onto a+b = 3. We have two solutions:

a = 1, b = 2

a = 2, b = 1

-----------

Now move onto a+b = 4. We have three solutions

a = 1, b = 3

a = 2, b = 2

a = 3, b = 1

Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.

So 'a' counts up to 3, while b counts down from 3.

We cannot reach 4 since 0 is not allowed for a or b.

-------------

The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so

a = 1, b = k-1

a = 2, b = k-2

a = 3, b = k-3

....

a = k-3, b = 3

a = k-2, b = 2

a = k-1, b = 1

Where k > 2

Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.

This confirms there are k-1 solutions listed above.

The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions

Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!

PLEASE ANSWER BOTH QUICK

Answers

Answer:

1.C

2.A

Step-by-step explanation:

dude trust me

Which one?
A. B. C. Or D.​

Answers

Answer:

A)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think..

what is the value of the power a if 5a = 1/125?

Answers

Answer:

If

5

a

=

1

125

, find the value of a?

Step-by-step explanation:

There is a base f

5

on the left side, so write the denominator on the right as a base of

5

as well.

5

a

=

1

125

5

a

=

1

5

3

Move the base to the numerator.

5

a

=

5

3

If the bases are equal, the indices are equal:

a

=

3

7) Compare the ratios of the corresponding sides to prove or disprove that the polygons are similar.

Answers

Answer:um thers no picture

Step-by-step explanation:

A tv costs $150. You have a coupon for 12% off.
1) How much money will be taken off of the price of the tv?
2) How much will you pay for the tv?

Answers

Answer:$18 taken away and the total will be 132

Step-by-step explanation:

These ordered pairs represent a proportional relationship. Use the interactive and the constant of proportionality to find the missing coordinates for the ordered pairs.

(3, 9), (A, 12), (5, 15), (6, B)

A =
B =

Answers

3,A,5,6 = A
9,12,15,B= B

Answer:

A=4 B=18

Step-by-step explanation:

help please!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

HI

Identify the exponent in the following number: 2^5
A. 2
B. 5
C. 16
D. 32

Answers

Answer: 5

Explanation: This type of algebraic expression is called a power.

Here, 2 represents the base and the  represents the exponent.

Use the model to solve for x.

A) x = 2

B) x = 4

C) x = 8

D) x = 12

Answers

9514 1404 393

Answer:

  B)  x = 4

Step-by-step explanation:

You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...

  x + 4 = 2x

The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...

  4 = x . . . . . matches choice B

_____

Comment on this approach

In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.

At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)

Other Questions
Find the mean of these numbers:2,57, 38, 42,6 the mean number of goals scored is 2.5. the mean number of away goals scored is 1.8. How many home and away games have been played in total? Which statement explains the similarity between momentum and kinetic energy of an object?A. Both are inversely proportional to the mass and velocity of the object.B. Both are directly proportional to the mass and velocity of the object.C. Both are inversely proportional to force and displacement.D. Momentum is directly proportional to the mass of the object and the square of the velocity of the object.E. Kinetic energy is directly proportional to the mass of the object and the square of the velocity of the object.Please help asap Unscramble the themed packs below. Which one is fake? A ruler of A Kingdom or empire What is the domain and range of this graph? You can write your answer using words or mathematical notation A chef earns $27 per year. She is paid every 2 weeks.These are 26 pay periods per week?How much does the chefearns pay period. Round to the neared cent Bradley traveled 65 miles in 13 hours. A unit rate to describe Bradley's travel is 5 miles per hour. What is another unit rate in this situation? 5 hour per mile 1 mile per hour 1 over 5 hour per mile 1 over 5 mile per hour Using PhytonWrite a program with the following functions.function 1: Accepts 2 strings as arguments. returns true if the second string is a part of the first string. Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for a week in total, how many calories are in one big burger. HELP! please tensions between the colonies and Great Britain led to armed conflict in 1775. What is that conflict known as?The Civil WarMiddle PassageThe Revolutionary WarThe French and Indian War This is due soon today can somebody help?35 points (if they're all right) comment if you don't know it Water level in a well was 20m below ground level. During rainy season, rainwater collected in different water tanks was drained into the well and the water level rise 5 m above the previous level. The wall of the well is 1m 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope that he can use. Which of the following is the final stage of a low mass star? *1 point A student sets a goal to improve academic performance. Which of the following represents a subjective measurement of progress toward that goal?A.improved grades on individual assignmentsB.higher letter grades at the end of the academic yearC.a greater sense of accomplishmentD.remembering facts learned in classPlease select the best answer from the choices provided.ABCD Name the slope of a line parallel to y = -3x -2 Which of the following is the fusion occurring in our sun?a. lithium to berylliumb. helium to hydrogenc. hydrogen to heliumd. helium to carbon Which of the following options best describes a line graph? a) graph comparing quantities represented by bars b) graph showing trends in categorical datac) graph that displays the rate of change of two variablesd) graph comparing the rate of change of two or more quantities Felipe has a flower bed with area 25/4 square feet. He expands the flower bed to have area 75/4 square feet. How many square feet of space does the larger flower bed have for every square foot of the smaller flower bed? Write your answer as a ratio (a:b) * Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: