The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear function. The amusement park charges an entrance fee of $45.25 per person and a parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.

What is the domain of the function for this situation?

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

a. m<1 = m<6 (vertical angles)

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

f. m<7 = m<12 (vertical angles)

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)

Answer:

purple

Step-by-step explanation:

because the color green and blue suck

Answer:

Red sus. Vote him bois.

Step-by-step explanation:

lol (Brainliest)

Answer:

potential energy is mechanical enerygy.

Answer:

kinetic energy

Step-by-step explanation:

Answer:

8/75

Step-by-step explanation:

Answer:

zero letter c

Step-by-step explanation:

it is c also hey

Answer: Assembly

Step-by-step explanation: I’m just guessing, but I think it’s assembly because, well, there’s a lot of people assembled there

Answer:

5

Step-by-step explanation:

43-23=20

devide 20 in 4 a bunch

//// //// //// //// ////=20 so 5

Answer:

27.5 miles

Step-by-step explanation:

55 divided by 2 is 27.5

Answer:

27.5 miles

always half it when it is half a mile

Answer:

x=5

Step-by-step explanation:

solution;

6=3x-9(carry alike terms to the same side that'd be +6-9)

+9+6=3x

15=3x(divide both sides by 3)

5=x

(thanks,sorry and welcome)

The solution to the given equation 6 = 3x - 9 would be variable x = 5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

To determine a solution for the variable in equation 6 = 3x - 9, we can begin by isolating the variable on one side of the equation. To do this, we can add 9 to both sides, giving us:

6 + 9 = 3x

This simplifies to:

15 = 3x

The next step is to divide both sides of the equation by 3, which will give us the value of x.

15/3 = 3x/3

Simplifying we get

5 = x

Thus, the solution for the variable is x = 5.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

Answer:

True

Step-by-step explanation:

The given statement is true.

Area of a rectangle is length times width.

A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.

[tex]A=l*w\\\\A=4*5\\\\A=20[/tex]

Hope this helps.

Answer:

False

Step-by-step explanation:

There can be two sets of side lengths 4, 5 inches and 2, 10 inches.

Answer:

no im pretty sure they are not functions

Correct me if im wrong also learning

Answer:

a^20

Step-by-step explanation:

a^21-a^1

a^20

Answer:

78 - 21i

m a t h w a y will help you :)

Answer:

60 dollars for 5 tickets.

Step-by-step explanation:

4x=48

x=12

5 times 12= 60

Answer:

$60

Step-by-step explanation:

4x=48

x=12 so each ticket costs 12 dollars

so for 5 movie tickets 12x5=60 dollars

so 5 movie tickets would cost 60 dollars

Answer:

yes

Step-by-step explanation:yes

Answer:

by multiplying the same number twice

Step-by-step explanation:

example :

1 × 1 = 1

2×2 = 4

3×3 = 9

and so on....

Answer:

32/63

Step-by-step explanation:

i used a calculator

Answer: 81 miles

Step-by-step explanation:

From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.

The measurement that is closest to the number of miles between the two towns goes thus:

Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:

= 130/8

= 16.25

Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:

= 16.25 × 5 miles

= 81.25 miles

= 81 miles

Answer:

(1,4)

Step-by-step explanation:

Answer: x = 1, y = 4

Steps: 3y + 4x = 16,  -2x + y = 2

Isolate y for 3y + 4x = 16:   y = (16 - 4x ÷ 3)

Substitute y into the other equation (-2x + y = 2):   -2x + (16 - 4x ÷ 3) = 2

Simplify: 16 - 10x ÷ 3 = 2

Isolate x for 16 - 10x ÷ 3 = 2:   x = 1

Substitute x = 1 into  y = (16 - 4x ÷ 3):  y = 16 - 4x · 1 ÷ 3

y = 4, x = 1

Plz mark brainliest:)

Answer:

3

Step-by-step explanation:

Answer:e

Step-by-step explanation:

Answer:

x≥-8

Step-by-step explanation:

Let's do this step by step:

Step 1-

Take x/2≥-4. Now multiply both sides by 2 to isolate the x variable. Multiplying x/2 by 2 removes the denominator.

Step 2-

Since we are multiplying both sides by 2, we also have to multiply -4 by 2. We get -8

Step 3-

Therefore, x≥-8

Hope that helps :)

Answer:

3 loaves

Step-by-step explanation:

See attachment for complete question.

Represent Loaves with L and Flour with F

Since L is proportional to F, the relationship can be defined as:

L = kF

Where k represent the constant of proportionality

When L = 4, F = 20

Substitute these values in the above formula.

4 = k * 20

Divide both sides by 20

4/20 = k

⅕ = k

k = ⅕

To solve for 15 cups of Flour, we have:

F = 15

Substitute 15 for F and ⅕ for k in L = kF

L = ⅕ * 15

L = 3

Hence, 3 loaves will be baked using 15 cups of flour

Answer:

B. the range is the output

Step-by-step explanation: