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.

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.

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

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  

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

4x - 5 - 2x = x - 5

Step 2: Solve for x

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

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.

Answer:

Step-by-step explanation:

According to Angle Addition postulate:

Therefore

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.

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

Answer:

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

Answer:

Sutraction property of equality

Step-by-step explanation:

Answer:

Step-by-step explanation:

1: 3/40

2:89/25

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!

Answer: -6+13=7

Step-by-step explanation:

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]

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.

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°

Answer:

hi will u follow me?

in roblox username gameitrexplayzYT

Step-by-step explanation:

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.

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

To know more about Trigonometry follow

https://brainly.com/question/24349828

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Answer:

25.252

Step-by-step explanation:

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

Answer

Mimi made a total of 16 kilometers

Step-by-step explanation:

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

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

Answer:

80,000

Step-by-step explanation:

2<5  thus you round down

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

Answer:

(-1,0)

Step-by-step explanation:

Plug it into desmos graphing calculator exactly how it is.

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...

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