Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.

Answers

Answer 1

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

Answer 2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Let the number of points touch down be xLet the number of -point field goals be y

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041


Related Questions

Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?

Answers

Answer:

1/3 or 33.33333333%

Step-by-step explanation:

The chance of getting a head in the coin flip is 1/2 or 50%.

The chance of getting a number bigger than 2 (3,4,5,6) is 4/6 or 2/3 or 66.6666666666%. (There are a total of four possibilites in six.)

Hence, 50% * 2/3 = 33.333333333333%.

Hope this helped!

help pls im so confused

Answers

Answer:

C

Step-by-step explanation:

A to B

A line segment is when two dots are connected with a solid line.

A to C is incorrect because it has arrows.

The answer is C chose C and good luck to you cccccccc

Will give brainiest for the correct answer! please!

Answers

Answer:

A

Step-by-step explanation:

it's has 1 sulotion hope this helps

............A.........................

PLS HELP ME ASAP!!!!

In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.​

Answers

Answer:

20 Km per hour.

I need help for the slope:


Plz help meee

Answers

Slope (y2-y1)/(x2-x1)
Pick any two points on graph
(1,0) and (0, -3)
(-3-0)/(0-1) = -3/-1 = 3
The slope is 3

Answer:

slope = 3

Step-by-step explanation:

slope = 3/1

.......

......

Kendra posts a photo on her social media account.In the first hour, 2 friends share the photo.In the second hour, each of those friends has 2 friends who share the photo.The pattern continues. How many photos do people share in hour
1. 32
2. 64
3. 12
4. 9

Answers

Answer:

Step-by-step explanation:

The answer is 64 because If you multiply 2x2x2x2x2x2 It equals 64

4 movie tickets cost $48. At this rate, what is the cost of 8 movie tickets?

Answers

Answer:

$60

Step-by-step explanation:

48/4=12

12*8=60.

So you'd pay 60 dollars for 8 movie tickets. ^^

GCF of 50 and 100 is..

Answers

Answer:

GCF of 50 and 100 is...

50

solve: -3 |x-3| = -6
how do i solve absoulute value ?​

Answers

Answer:

x=5,1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )

Answers

Answer:

-9

Step-by-step explanation:

-3 - 6

-3 + -6

-9

hope this helps!

If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

Learn more :  brainly.com/question/16069814

simplify this expression: 3c + 7 - 9c

Answers

Answer:

-6c + 7

Step-by-step explanation:

To simplify this expression, you must add like terms. Because 3c and -9c both have the same variable (c), they are like terms.

3c + (-9c) = -6c

The 7 stays the same, so the simplified expression is -6c + 7.

Hope this helped :)

Please help me, This is the only question I don’t understand pleas help me I would really appreciate it thank you!

Answers

Answer:

C

Step-by-step explanation:

A proportional equation is in the form:

[tex]\displaystyle y=kx[/tex]

Where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

An important aspect of a proportional equation is that it passes through the origin. That is, it has no y-intercept (or a constant value).

From our choices, the only choices that don’t have y-intercepts are C and D.

However, D is not a linear function.

Therefore, our answer is C.

And our constant of proportionality is 1/2.

Sal needs 3 quarts of blue paint and 2 quarts of white paint to paint his room. How many quarts of blue paint will he need to paint his parent's room, if he needs 6 quarts of white paint?

Answers

Answer:

9 quarts of blue paint

Step-by-step explanation:

the ration is 3:2

2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well

What’s the rate of change of y=5.75x-2.5(x-2)

Answers

Wwwweeewdessjejdhdhhfgfgyychcjdndndndndnnfnfnfnfjfjfjff

Use FOIL to explain how to find the product of
(a + b)(a − b). Then describe a shortcut that you could use to get this product without using FOIL.

Answers

Answer:

A² + 2AB - B²

Step-by-step explanation:

Answer:

Multiply the first, outside, inside, and last terms of the binomials.

Multiply a times a, a times -b, b times a, and b times -b.

This is the same as just squaring a and squaring b.

A shortcut is to add a squared and b squared

Step-by-step explanation:

Feel free to copy and paste!! Hope this helps!! Have a great day!!   : )

As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.

Answers

Answer:

the answer is 68km.

Step-by-step explanation:

Answer:

42.5 miles is about 68km

multiply 42.5 by 8/5 and you have your answer

its one in the morning and i cant sleep

Answers

Answer:

hey how r u doing ?

Step-by-step explanation:

........aags

Answer:

its 2:14 and I'll never sleep

Find the rate of change
(Pls help!)​

Answers

Answer: 11.5

Step-by-step explanation:

It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)

3c+5=23 what is c? c=3 c=6 c=7 c=18​

Answers

Answer:

c = 6

Step-by-step explanation:

Subtract 5 from both sides. This is to cancel out the + 5. You have 3c = 18Divide both sides by 3. 18/3 = 6, so c = 6.

Answer:

First, rearrange the equation so you can get the like terms together

3c=23-5

3c=18

c=18/3

c=6

Step-by-step explanation:

I hope this is the answer, and if it helped give me brainliest

The perimeter of the rectangle is 42 inches. Find the value of x.

Answers

Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

    -6  -6

12x=36

x=3

Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

   -6  -6

12x=36

x=3

A scale drawing of a playhouse is shown below. What is the total height of the actual playhouse?

A. 4 ft
B. 6 ft
C. 8 ft
D. 16 ft​

Answers

Answer:

A

Step-by-step explanation:

It’s actually D because half of an Inch =1ft
So 1/2+1/2=1 Inch and 1 inch =2ft so if you know that then it’s just simple 5•2 which is 10 and 3•2 which is 6 and 10+6=16
But u have to remember for other problems that u need to follow the scale

Approximate the value of the square root of 110 to the nearest hundredth

Answers

Answer:

10.4900

Step-by-step explanation:

pls make a brainliest

Which of the following numbers is irrational?
0.13
✓3
-0.3

Answers

the square root of 3 is irrational

PLEASE HELP!! WILL MARK BRAINLIEST :))

Answers

Answer:

It would be the third one (x, y) for all real numbers

Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3

Answers

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

learn more about determinants here :

https://brainly.com/question/4470545

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Function A is represented by the equation y = 4x + 6.
Function B is a linear function that goes through the points shown in the
table.
x 1
3 4
ic
y 3 9 12 18
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 3.
B. The rate of change of function A is 4.
The rate of change of function B is 6.
OC. The rate of change of function A is 6.
The rate of change of function B is 6.
D. The rate of change of function A is 4.
The rate of change of function B is 3

Answers

Answer:

D

Step-by-step explanation:

What is the x-intercept of the graph that is shown below?
4
8 2
5 4 -3 -2 -14
1 2 3
X
2
3
4
45
O (-3, 4)
(0, 2)
O (2,0)
(3,0)

Answers

x intercepts are 2 and 3 because y=0 at both of those coordinates

(0, 2) is the y intercept of the given graph, option B is correct.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line is passing through the points (3, 0) and (0,2)

We have to find the slope

m=2/-3

=-2/3

Now let us find y intercept

0= -2/3(3) +b

b=2

Hence, (0, 2) is the y intercept of the given graph, option B is correct.

To learn more on slope of line click:

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Each day Jimmy feeds his horse 2.34 pounds of oats. He also feeds it hay. The weight of the hay is 3.5 time the weight of the oats. What is the combined weight of oats and hay that Jimmy feeds his horse in ONE week?

Answers

Since the word times means multiplication you have to multiply 2.34 by 3.5 to get 8.19 in a day. Then multiply 8.19 by 7 to get 57.33 pounds. Sorry if I got it wrong, but hope this helps!

Answer:

i believe 40.88

Step-by-step explanation:

2.34 + 3.5 x 7 = 40.88

Use the quadratic formula to solve the equation.
5x2-3x + 1 = 0
X=

Answers

Answer:

x= 11/3

Step-by-step explanation:

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