A high school football team scores a total of 42 points by scoring touchdowns and field goals. Suppose each field goal is worth 3 points and each touchdown is worth 7 points.
a. Let x represent the number of field goals and y represent the number of touchdowns. Write an equation that models the total points scored in the game.
b. Identify and interpret the x- and y-intercepts.

Answers

Answer 1

Answer:

a) 3x+7y

Step-by-step explanation:

Sorry I don't know the answer to question B

Hope this helps

Answer 2

The equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A high school football team scores a total of 42 points by scoring touchdowns and field goals.

From the data given in the question:

42 = 3x + 7y

Here x represents the number of field goals and y represents the number of touchdowns.

For x-intercept:

Plug y = 0

3x = 42

x = 14

For y-intercept:

Plug x = 0

7y = 42

y = 6

Thus, the equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

Learn more about the linear equation here:

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Related Questions

Simplify 3(2a - y) - 4(2y - a).

Answers

The answer would be 10a-11y

Answer:

10a - 11y

Step-by-step explanation:

3(2a - y) - 4(2y - a)

open the parenthesis

6a - 3y - 8y + 4a

combine like terms

6a + 4a - 3y - 8y

10a - 11y

A gardener is planting a garden in the shape of a square. The gardener wants the side of the square garden to be between 15 and 18 feet long. The gardener wants to put a fence around the garden. How many yards of fencing will be required to enclose this square garden? Remember that 3 feet equals 1 yard. If every yard of fencing costs $1.50, how much will the gardener need to build the fence?

Answers

Answer:

$31.99

Step-by-step explanation:

The idea begin this problem is to solve for the perimeter of the square garden using the expression for perimeter which is

Perimeter of square= 4L

given that the garden wants the side of the square garden to be between 15 and 18 ft long

Say we go with a length of 16ft (you can pick any number in the range just maintain the formula for the perimeter)

perimeter= 4(16)

perimeter= 64ft

now we have to convert ft to yard

1 yard=3ft

x yard=64ft

cross multiply we have

x=64/3

x=21.33 yards

given that a yard cost $1.5, therefore 21.33 yards will cost

=21.33*1.5

=$31.99

One angle of a triangle measures 118°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles. An equation is = 180. The congruent angles each measure​

Answers

Answer:

2x+118=180

x=31

Step-by-step explanation:

Congruent means equal so the two missing angles are same, therefore being 2x. Add 118 to 2x since it is already known and all of that is equal to 180. Solve:

2x+118=180

2x=62

X=31

what equation could be represented by the number line

Answers

i’m sorry if there isn’t supposed to be but is there supposed to be a picture, if so you don’t have one :)

Can somebody please help me ?? :)

Answers

Answer:

first option

Step-by-step explanation:

Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.

If z = a + bi then its conjugate is a - bi and their product

(a + bi)(a - bi) → where a and b are real

= a² + b² ← a real number

Value of x
(6x+2)°
(5x+22)°

Answers

Answer:

x=20°

Step-by-step explanation:

(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so

(6x+2)°=(5x+22)°

6x°+2°=5x°+22°.... collect the like terms

6x°-5x°=22°-2°

x°=20°

Anyone know how to do this? Need answers ASAP

Answers

Answer:

Sutraction property of equality

Step-by-step explanation:

find out the value of x in the following polygon ​with the formula

Answers

Answer:

50

Step-by-step explanation:

ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.

ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50

Given the following diagram, enter the required information.

Answers

Answer:

39° 44' 52''

Step-by-step explanation:

Givenm∠DXB = 70° 15' 12''m∠DXC = 30° 30' 20''To findm∠CXBSolution

According to Angle Addition postulate:

m∠DXB = m∠DXC + m∠CXB

Therefore

m∠CXB = m∠DXB - m∠DXCm∠CXB = 70° 15' 12''- 30° 30' 20'' = 39° 44' 52''

What is the answer to this?
-6+13=

Answers

Answer: -6+13=7

Step-by-step explanation:

Challenge The price of Stock A at 9 A.M. Was ​$13.63. Since​ then, the price has been increasing at the rate of ​$0.06 each hour. At noon the price of Stock B was ​$14.38. It begins to decrease at the rate of ​$0.14 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer:

3.75 hours

Step-by-step explanation:

Let us represent the number of hours = x

The price of Stock A at 9 A.M. Was ​$13.63. Since​ then, the price has been increasing at the rate of ​$0.06 each hour.

$13.63 + $0.06× x

= 13.63 + 0.06x

At noon the price of Stock B was ​$14.38. It begins to decrease at the rate of ​$0.14 each hour.

$14.38 - $0.14 × x

14.38 - 0.14x

If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Stock A = Stock B

13.63 + 0.06x = 14.38 - 0.14x

Collect like terms

0.06x + 0.14x = 14.38 - 13.63

0.20x = 0.75

x = 0.75/0.20

x = 3.75 hours

The prices of the two stocks will be the​ same after 3.75 hours

Find and interpret the mean absolute deviation of the data.

24, 26, 28, 28, 30, 30, 32, 32, 34,36

Answers

Answer:

hi will u follow me?

in roblox username gameitrexplayzYT

Step-by-step explanation:

4x - 5 - 2x = x - 5

No Solution
X=0
X=4
X=5

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

4x - 5 - 2x = x - 5

Step 2: Solve for x

Combine like terms: 2x - 5 = x - 5Subtract x on both sides: x - 5 = -5Add 5 to both sides: x = 0

Step 3: Check

Plug in x to verify it's a solution.

4(0) - 5 - 2(0) = 0 - 5

0 - 5 - 0 = -5

-5 = -5

how do you make this symbol on laptop ≤ ive just copied and pasted it but how do you make it???

Answers

Answer:

It's better to just copy and paste every time you need to use it but if you use it often, hold the option key and period key. This only works on an apple mac.

Btw: It might not work im not sure, since im using a chromebook...

Mimi cycled a total of 12 kilometers by making 3 trips to work. After 4 trips to work, how many kilometers will Mimi have cycled in total?

Answers

Answer

Mimi made a total of 16 kilometers

Step-by-step explanation:

Round 82,236 to the nearest ten thousand.

Answers

Answer:

80,000

Step-by-step explanation:

2<5  thus you round down

, use a number line. Start at 0. Move forward 5 and then back up 7. How many yards must he get to get back to 0?

Answers

Answer:

2 yards.

Step-by-step explanation:

If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.

Answer:

He must move two yards to get back to zero.

Step-by-step explanation:

He started at 0.

Moved forward 5 on the number line which puts him at 5

Then he moved back 7 which puts him at -2 on the number line

So from -2 on the number line he has to move 2 spaces to the right to get back to 0.

Hope this helps!! And good luck!

Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square feet. Find the length and width of the section.
Part II: The equation for area is A = LW. Substitute the expression you found for W in Part I into the area equation. Then, if the area is equal to 35 square feet, write the equation in standard form with a, b, and c as whole numbers.

Answers


Let the width be W and length be L
LW = 35
L = 35/W
Perimeter = 2 ( Length + Width )
27 = 2 ( 35/W + W )
13.5 = (35+ W^2) / W
W^2 - 13.5W + 35 = 0
W^2 - 10W - 3.5W +35 = 0
W ( W -10) - 3.5 ( W - 10) = 0
( W-3.5) ( W-10) = 0
W = 3.5 or 10
ANSWER Width = 3.5' Length = 10'
Not sure tho lol

Which of these describes the best situation to use a bar chart to display your data? 1. When your independent variable is qualitative, and your dependent variable is qualitative 2. When your independent variable is qualitative, and your dependent variable is qualitative 3. When your independent variable is quantitative, and your dependent variable is qualitative 4. When your independent variable is quantitative, and your dependent variable is qualitative 5. When your independent variable is qualitative, and your dependent variable is quantitative 6. When your independent variable is qualitative, and your dependent variable is quantitative When your independent variable is quantitative, and your dependent variable is quantitative

Answers

Answer:

The correct option is;

5. When your independent variable is qualitative, and your dependent variable variable is quantitative

Step-by-step explanation:

A bar graph is a graph that is used for the comparison of the measured values of different groups of items and are typically used for comparison of data that belong to different categories rather than for comparison of a continuous data  set, such that the categories of the data are presented in columns of a particular category along the horizontal axis, while the vertical represents the measured value for each category

Therefore, given that the independent variable is normally presented along the horizontal axis, and the dependent variable is normally presented along the vertical axis, we have that the bar chart is best suited when the independent variable is qualitative and the dependent variable is quantitative.

Answer:

The correct answer would be 5)When your independent variable is qualitative, and your dependent variable is quantitative.

Find the center of the equation 4x2 + y2 + 8x-5= 0.

Answers

Answer:

(-1,0)

Step-by-step explanation:

Plug it into desmos graphing calculator exactly how it is.

I keep getting the answer wrong for the value please help.​

Answers

Answer: d) +/- 2/3

Step-by-step explanation: Since x^2 is a exponent, to cancel it out you would have to square root both sides. Therefore, x is equal to +/- 2/3.

Answer:

D

Step-by-step explanation:

The answer is D which is ± 2/3.

x² = 36/81

The √36 is 6 and √81 is 9. So √(36/81) will be 2/3. However, the answer is ±2/3 because we are taking the square root so there's a possibility that the answer can be positive and negative.

How do I show my work for how many 3/4 are in 6???

Answers

Answer:  There are 8   3/4 in 6.

Step-by-step explanation:

To find out how many 3/4 are in 6,  then divide  6 by 3/4.

6 ÷ 3/4 = 8  

are the trianlges congruent. am I right?

Answers

Answer:

The triangles are congruent.

Step-by-step explanation:

Don't let those little lines mess up. Both triangles have the same shape and size. They are congruent.

solve 2(4x+1)<3(2x-3)

Answers

Answer:

x < -5.5

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

first, treat it like an equation

2 ( 4x + 1 ) < 3 ( 2x - 3)

distribute

8x + 2 < 6x -  9

now use inverse operations

8x + 2 < 6x - 9

    -2           -2

8x < 6x - 11

-6x   -6x

2x < -11

/2     /2

x < -5.5

1: if Tim does not buy DEF, how many can he spend on ABC?


2: how many shares of ABC can he buy if he does not buy DEF?


3: if the selling price is $1,750, how much will Tim have earned by investing?


4: what is the total return divided by the total cost In this example?

Answers

Answer:

1. $1400

2 329.4 shares

3. $350

4. 1.25

Step-by-step explanation:

1. if Tim does not buy DEF, how many can he spend on ABC?

From the attached image

100 shares for ABC = $425

100 shares for DEF $600 + $375 commission

Therefore, the amount he can spend on ABC without buying DEF = $600 + $375 + $425 = $1400

2: how many shares of ABC can he buy if he does not buy DEF?

$425 = 100 shares

$1400 =

Cross Multiply

= $1400 × 100 shares/ $425

= 329.41176471 shares

= 329.4 shares

3: if the selling price is $1,750, how much will Tim have earned by investing?

The cost of buying ABC = $1400

The Amount earned from investing = $1750 - $1400

= $350

4: what is the total return divided by the total cost In this example?

Total return = $1750

Total cost = $1400

= $1750/$1400

= 1.25

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

25.252

Step-by-step explanation:

what is 0.075 and 3.56 as a fraction

Answers

Answer:

Step-by-step explanation:

1: 3/40

2:89/25

You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?

Answers

Answer:

[tex]8r + 6s = 100[/tex] --- (a)

[tex]s = -2[/tex] ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

[tex]8r + 6s = 100[/tex]

Solving (b):

Value of s when r = 14

[tex]8r + 6s = 100[/tex]

Substitute 14 for r

[tex]8 * 14 + 6s = 100[/tex]

[tex]112+ 6s = 100[/tex]

Solve for 6s

[tex]6s = 100 - 112[/tex]

[tex]6s = -12[/tex]

Solve for s

[tex]s = -12/6[/tex]

[tex]s = -2[/tex]

i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me

Answers

Answer:

Five angle relationships are;

1) Adjacent angles

2) Alternate exterior angles

3) Corresponding angles

4) Alternate interior angles

5) Vertically opposite angles

Step-by-step explanation:

1) Adjacent angles;

Adjacent angles are angles that lie side by side to each other and have no common interior points

2) Alternate exterior angles are angles located on the opposite location of a transversal that crosses two lines and both are on the external region of the lines that are crossed by a transversal

Alternate exterior angles are equal where the two lines crossed by the transversal are parallel

3) Corresponding angles are angles located on corresponding side of a two lines that are crossed by a transversal

4) Alternate interior angles, are angles located on the opposite location of a transversal that crosses two lines and both are on the internal region of the lines that are crossed by a transversal

5) Vertically opposite angles, are angles formed on the opposite sides where two lines cross. Vertically opposite angles are always equal.

Find the length of side BC.
Give your answer to 1 decimal place.

Answers

Answer:

BC ≈ 11.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )

14 × sin58° = BC , thus

BC ≈ 11.9 cm ( to 1 dec. place )

The length of the side BC of the triangle is 11.58 units.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.

The side BC will be calculated as,

14 × sin (58°) = BC

BC = 11.58 units

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