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

There are 207 students in the 9 classes
at east middle. At this rate, how many students are in 6 classes ? use the radio table below to help you determine you answer ​

Answers

to find the rate first we divide the number of students by the number if classes as follows 207 ÷ 9 = 23 student in each class Then we multiply this rate by the number of classes to get 23 students × 6 classes = 138 students in 6 classes

2c - 12 = 9C + 2
How do i solve this

Answers

2c-12=9c+2

Subtract 9c from both sides:
2c-12-9c=9c+2-9c

Add 12 to both sides:
-7c-12+12=2+12
-7c=14

Divide both sides by -7:
-7c/-7=14/-7
c=-2

what is an equation of the line that passes through the points (0,-8) and (5,-7)? put your answer in fully reduced form.​

Answers

Answer: y=1/5x -8

Step-by-step explanation:


Does this represent a function?

Answers

Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I

Answers

Answer:

22.50

Step-by-step explanation:

What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5

Answers

Answer:

Y=-2/5x

Step-by-step explanation:

Y-int: (0,0)

x-int:(-2,5)

need some help with this question.​

Answers

Answer:

Second from top

  f(x) = 25(5)ˣ

Step-by-step explanation:

Spot check:

x = 2, f(x) = 625

 f(x) = 25(5)ˣ

 f(x) = 25(5)² = 25(25) = 625

x = -1, f(x) = 5

 f(x) = 25(5)ˣ

 f(x) = 25(5)⁻¹ = 25(0.2) = 5

3 3/4 x 1 1/10 Multiplying and dividing mixed numbers​

Answers

Answer:

I hope this is what you were needing the answer to!

33/8 is the answer, find like terms, combine, and then you have ur answer!

only 1 question!
Please help I’ll mark brainliest!!!

Answers

Answer:

Wouldn’t y be 4 and x be 1?

Answer:

Y = -1X + 5

Step-by-step explanation:

I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.

Hope this helps! Let me know!

If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.

Solve the inequality:


2x−9≥17

Select one:

x≤13

x≥3

x≤3

x≥13

Answers

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

PLEASE HELP ME W MY MATH FINAL! NO EXPLANATION NEEDED :)

Answers

Answer:

nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.

Step-by-step explanation:

What is the measure of

Answers

Answer:

measure of whaaaaaaaaaaaaaaaaaaaa tttttt?

Need more context please :)

2) Which car will travel the most distance (in miles) per gallon? A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M = 35g. B. A Toyota Sienna used 2.5 gallons to travel 55 miles. C. Toyota Rav4 D. Toyota Camry Gallons of Gas Total Distance 2 50 miles 3 75 miles 5 125 miles

Answers

Answer:55

Step-by-step explanation:

(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?

(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?

i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)

Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}

Answers

Answer:

It is A

Step-by-step explanation:

The correct answer to this question is A.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?

Answers

The area of rectangle ABCD with the given vertices is: 8 units².

What is the Area of a Rectangle?

Area of rectangle = (length)(width).

Given the following vertices:

A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)

Area = (length)(width) = (AB)(BC)

AB = |-2 - 6| = 8 units

BC = |2 - 3} = 1 unit

Area of rectangle = (8)(1) = 8 units².

Learn more about area of rectangle on:

https://brainly.com/question/25292087

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Answer: 8

Step-by-step explanation:

help...
I will give brainiest and 5 stars to correct answer.​

Answers

Answer:

y < -11/20

Step-by-step explanation:

4y+8 < -16y -3

Add 16y to each side

4y+16y+8 < -16y+16y -3

20y +8< -3

Subtract 8 from each side

20y+8-8 < -3-8

20y < -11

Divide each side by 20

20y/20 < -11/20

y < -11/20

Answer:

B

Step-by-step explanation:\

The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4

Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.

The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:

= 120/8

= 15 credit hours

(8) Simplify this expression: -4^2. This will be:

= -4 × -4

= 16

pls help ill give brainliest

Answers

Anabelles work is correct

At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?

$94.25
$118.75
$107.75
$332.50

Answers

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

STEP 1: So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

(47.50 x 2 = 95)

STEP 2: So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

(47.50 ÷ 2 = 23.75)

STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

(95 + 23.75 = $118.75)

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

I HOPE THIS HELPED YOU!

Answer:

$118.75

Step-by-step explanation:

Okay, we know a rock per ton is $47.50.

What we need to know is how much 2.5 tons cost.

So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:

($47.50 * 2.5) = $118.75

So 2.5 tons of rock costs $118.75

Have a great day! :)

I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!

Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.

PLEASE HELP

Answers

Figure 1:
x+120=180.
x=180-120
x=60


Figure 2:
a+73=180(linear pair)
a=180-73
a=103


a+x=180(alternate interior angle)
103+x=180
x=180-103
x=77

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

1) what is the LCM of 3,5, and 10?


2)What are the numbers if the GCF of these numbers is 12?​

Answers

Answer:

1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12

Step-by-step explanation:

Ashley has 6,452 buttons that need to be sorted equally into 25 jars. How many buttons will be in each jar? How many buttons will be leftover??? Pls answer.

Answers

161,300 because it says “each” and that means u have to multiply

What is the missing exponent

Answers

Answer:

x^5 is the missing

i need help in finding numerical value please

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

=================================================

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

m.c.m (3, 16, 2) ?? please help

Answers

B I got it on edg 2020 in may last year

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

xLasersx✨

The points A, B, and C lie on a line so that AB = 12 cm and BC = 13.5 cm. Find the length of segment AC. Give all possible answers.

Give two possible answers. Not just one please.

Answers

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

The possible length of segment AC is 25.5 cm and 1.5 cm.

What is a line segment?

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = [tex]13.5+12[/tex]

⇒ [tex]25.5[/tex] cm

b)  Length of AC = [tex]13.5-12[/tex]

⇒ [tex]1.5[/tex] cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

Learn more about line segment here

https://brainly.com/question/25727583

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-4x+3=-2 y=x-1 solve for x and y

Answers

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x

please find the answer, i need this asap!

Answers

Answer:

the correct answer is 2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Solve: 5(h − 3) = 25

Answers

Answer:

h=8

Step-by-step explanation:

open the brackets

then, 5h - 15= 25

h=(25+15)/5

h=8

Answer:

h = 8

Step-by-step explanation:

Hi there !

5(h - 3) = 25

5h - 15 = 25

5h = 25 + 15

5h = 40

h = 40 : 5

h = 8

Good luck !

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