Mathematics High School

The Johnson family is preparing to vacation at a famous amusement park. The park offers a family ticket discount package for an unlimited number of rides and will charge an entry fee for each person in the family. The equation below represents the cost per person, c of x, as a function of the number of people in the family, x.

c of x = 120 over x. + 7.5

If each person in the Johnson family paid $17.50, how many people were in the family?

Answers

Answer 1

Answer: 12 people

Step-by-step explanation:

insert 12 where the "x" is and type in the full equation into a calculator, and you will get 17.5

Related Questions

Find the slope of the line that passes through (3, 11) and (10,8).

Answers

Answer:

-3/7

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

[tex]=\frac{8-11}{10-3}\\\\=\frac{-3}{7}\\[/tex]

The table shows the results of a survey of students at Ousley Jr. High School about their plans for spring break. If there are 650 students at Ousley Jr. High School, predict how many more will stay home rather than go to the beach.
A. 143 students

B. 325 students

C. 195 students

D. 338 students

Answers

The answer is A

Step-by-step explanation:

Combine the like terms to create an equivalent expression:
-k+3k

Answers

Answer:

=ykvnn

Step-by-step explanation:

Answer: 2k

Step-by-step explanation:

Like terms are terms that have the same variables and powers.

k is the same variable so you would take away k (or 1k we just don’t write 1k in algebra) from 3k=2k

John invested $2000 for 3 years at 10% per annum. Peter invested $1000 at the same rate. If they both received the same amount of money in interest, for how many years did Peter invest his money?

Answers

Answer:

Step-by-step explanation:

90% of a number is 180 ?

Answers

Answer: 200

Step-by-step explanation:

x2 + 13x + 36
x2 – 7x + 10

Answers

Answer:1.1 Factoring x2 - 13x - 36

Step-by-step explanation:

PLZ PLZ PLZ PLZ HELP

Answers

It is -1/8
You are welcome

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

PLS SOMEONE HELP ME I WILL APPRECIATE IT SO MUCH

Answers

I'm not exactly sure, but try looking it up, they usually have answer keys in the deep web. you just have to look it up exactly as it says

Which of the following sets of a side length could be those of triangle lmn

Answers

9m, 12m, 15m, that’s your answer each number is a multiple of one of those numbers

26x + 13y = 39
.
Rearrange this equation so it is in the form y = mx + b
After you have rearranged the equation, identify the slope and the y-intercept.
If x = 6, what should y =? Show all necessary work and steps. Round any decimals to
1 place as necessary.
If y = -1, what should x =? Show all necessary work and steps. Round any decimals
to 1 place as necessary.

Answers

Answer:

Rearrange: y=-2x+3

if x=6 then y = -9

if y=-1 then x = 2

Step-by-step explanation:

Algebra

to rearrange here are the steps

26x+13y=39

First move x to other side by subtraction

13y= -26x+39

to get y as just y divide everything by 13. Since 13/13=1 or 13y/13= y

y=-2x+3

PLZZZZ HELPPP MEEEE

Answers

Answer:

Step-by-step explanation:

A square pyramid has 5 sides

so subtracting one side is 4 sides

Also she only has to get 4 no matter what, unless she wants the bottom with shingles too

a 10-kg object traveling at 6 m/s collides head on with a 2-kg object at rest. What is the total momentum of the system after the collision?

Answers

Answer:

M1V1i+M2V2i=(M1 + M2)vf

(10)(6)+(2)(0)=(10+2)vf

60=12vf

60÷12 =12vf÷12

5=vf

::Vf=5ms-1 to the right

x (5x+10) - 2 (5x+10) = 0

Answers

Answer:

x(5x+10)-2(5x+10)=0

x(5x+10)=2(5x+10)

x=2

961 : 31
Your answer

Answers

Answer:

??????????????????????????????? what

Step-by-step explanation:

Factor the expression completely by first taking out a common factor
3x^2 + 27x +24

Answers

The first figure is dilated to form the second figure.

Which statement is true?

The scale factor is 0.4.

The scale factor is 0.9.

The scale factor is 2.1.

The scale factor is 2.5.

Answers

Answer:

The scale factor is 2.5

Step-by-step explanation:

took k-12 test

When a shape is dilated, the size of the shape changes

The true statement is (d) The scale factor is 2.5.

What is dilation?

Dilation involves changing the size of a shape or figure

How to determine the scale factor

In figure A, we have:

Length = 0.6

In figure B, we have:

Length =1.5

The scale factor is then calculated as:

[tex]k = \frac{1.5}{0.6}[/tex]

Divide

[tex]k = 2.5[/tex]

Hence, the true statement is (d) The scale factor is 2.5.

Answers

Answer:

-0.233

Step-by-step explanation:

x =(16-√336)/10=(8-2√ 21 )/5= -0.233

hope this helps (:

I know this is SUPER late but kinda want to see if your still here .. hope so

so the answer is:

x = -8/5 + 2/5 [tex]\sqrt{21\\}[/tex]

x = -8/5 + -2/5 [tex]\sqrt{21}[/tex]

Always happy to help love ^u^ take care

Complete the statement. Round to the nearest hundredth if necessary.

14 m ≈
ft

Answers

14m = 45.9318 ft
Rounded is 46ft

4x + 3y = 36
how do i solve this?
in general form

Answers

4x + 3y - 36 = 0 (this is general form) to solve, try to find x or y first by putting it on one side, then plugging it in and finding the other value.

show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)

Answers

Given:

The statement is

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

To prove:

The given statement.

Solution:

We have,

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

Now,

[tex]LHS=(4p^2-3q)^2+48p^2q[/tex]

Using [tex](a-b)^2=a^2+b^2-2ab[/tex], we get

[tex]LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2+24p^2q[/tex]

It can be rewritten as

[tex]LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)[/tex]

Using [tex](a+b)^2=a^2+b^2+2ab[/tex], we get

[tex]LHS=(4p^2+3q^2)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

What is the value of x? Enter your answer in the box. °

Answers

Answer:

111°

Step-by-step explanation:

7 sides

sum of angles= (180×7)-360

1260-360=900

158+126+125+121+139+120+x=900

789+x=900

x=900-789

x=111°

What is the probability that a number selected at random from interfere 3 to 30 inclusive is a multiple of 3

Answers

Answer:

5/14 is the probablity

byeeeeeeeeeeee

Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2

Answers

Given:

The point is B(2,5) and its image is B'(1,2.5).

To find:

The scale factor.

Solution:

If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as

[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]

x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is

[tex]k=\dfrac{1}{2}[/tex]

Therefore, the scale factor is [tex]\dfrac{1}{2}[/tex] and the correct option is D.

Other Questions

2 Which is true of a parallel circuit?o The currents in each separate branch add up to the total current that leavesthe cell.OThe current is the same at each point in the parallel circuit.The potential difference across each lamp in a parallel circuit adds up to givethe potential difference of a battery or cell.OThe circuit has a single closed loop. The first answer will be marked brainlist Why was agriculture important to the development of civilization? how many atoms are in 4.90 mol of Al2O3 How many atoms are in 294 g of copper? 6. What is the equation in slope-intercept form of the line that passesthrough the points (-3,-1) and (2, 9)? An element that is an invisible gas is a gold b copper c iron d oxygen What kind of lawyer was John Glover Roberts Jr? PLS PLS HELP PLS HELPFind the area of a rectangle with base 2 yd and height 5 ft. (3 feet = 1 yard) Please read the following passage and answer the question below. Three teachers in my life shaped my future. Mrs. Rhine, my sixth grade teacher, taught me to believe in my abilities and to be happy using them. A new world opened up to me because of Mrs. Rhine's encouragement and her stimulating, creative student assignments. Although I had only been an average student in the earlier grades, throughout will mark Brainliest its times asap!!!the sixth grade, my grades improved steadily, and I earned the right to be in the honors section in junior high school. The second teacher that affected my life was Mr. Ponte because he taught me to question what people stated and to observe the world with a questioning eye. Up to this point in my life, I had accepted ideas I read in the newspaper and in books, but he taught me to weigh the evidence and the support that was presented in order to make my own decisions. The third teacher that had an effect on me was Dr. Schillit because he taught me to set goals, to see the wonders of the world, and to challenge myself to go further. He continuously challenged me to try new ideas and to think of the possibilities for my life. Without the influence of these three teachers, I would not be the person I am today. (Levine-Brown, P., Hughes, S., & Ciez-Volz, K. (2004). The Prentice Hall Florida exit test study guide for writing. Upper Saddle River, NJ: Prentice Hall.) Which type of logical pattern is used in this paragraph? O A. comparison and contrast O B. definition O C. classification OD. cause and effect Click to select your answer. Whitch statement explains how producers are dependent upon consumers for their survival? F. G. H.J. What parts of an atom can change during a nuclear reaction that cannot change during a chemical reaction? The number of neutrons and electrons The number fo protons and neutrons The number of electrons only The number of protons and electrons Susan's pizzeria made 7 pepperoni and 20 pizzas without pepperoni. What is the ratio of numbers of pizzas with pepperoni to the number of pizzas without pepperoni? In biology class, Kaylee observes cells. Each cell has a structure that separates the inside of the cell from the environment. Which structure is Kaylee observing? A. cell membraneB. genetic materialC. nucleusD. cytoskeleton 16. Living things can be classified based on which of these criteria? (Select all that apply.)oxygen breathernumber of legsreproduces asexuallyaquaticIll give brainliest . Who does Romeo meet at the party?CapuletParisRosalineJuliet Please help me its due in 20 minutes..Reading SkillsIdentifying Main Ideas For each passage, choose theletter that corresponds to the main idea sentence.15. (A) Sumerians believed that their gods hadenormous powers. (B) Gods could bring a goodharvest or a disastrous flood. (C) They couldbring illness or they could bring good healthand wealth.16. (A) The wheel was not the Sumerians' onlygreat development. (B) They developed cunei-form, the world's first system of writing. (C)But Sumerians did not have pencils, pens, orpaper. (D) Instead, they used sharp reeds tomake wedge-shaped symbols on clay tablets. In the diagram below, OP is circumscribed about quadrilateral ABCD. What isthe value of x?A. 52B. 50C.90D. 92 let u=(5 -12) and c=-3 what is cu 16. What did Stalin do to Trotsky in 1927?