Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.




Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.

Answers

Answer 1

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

https://brainly.com/question/13738061


Related Questions

The lines represented by the equations 2y - 3x = 14 and y - 3/2x= 7 are

Answers

Answer:

00000

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

192

Step-by-step explanation:

Volume of a rectangular prism = length times width times height.

For the following prism, length = 4, width = 6 and height = 8

So volume would equal 4 * 6 * 8 = 192ft²

1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.

Answers

Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

0(-7) helppppppppppppppppppppp

Answers

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

Heyyy , can you help me please and thank you

Answers

Answer:

18

Step-by-step explanation:

Total=70.

Last week she posted= 2/5 of 70= She posted 28 last week

So, 42 left

then, she posted 4/7 of remaining (42)

4/7 of 42 is 24

42-24= 18

She still needs to post 18 flyers

HOPE THIS HELPS!

Answer:

OK, so she started with 70 fliers.

Last week, she posted 2/5 of them. 2/5 of 70 is equal to 28, so she has 28 fliers less than she started with. 70-28=42.

This week, she posted 4/7 of the remaining fliers (42). 4/7 of 42 is equal to 24. So, she has 24 less than 42, so 42-24=18.

She still needs to post 18 fliers.

Hope this helps!!!

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Note: Only For best users
Spammers stay away
Spams and Copy not allowed
Need explanation not only answer
Don't answer if you don't know

Thank You!​

Answers

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

[tex]f(g(x))=\sqrt{(7x+b)}[/tex]

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]

Therefore, the value of b is equal to 8.

A box of baseballs costs $66. 12. Which equation represents the cost, c, of n boxes?

Answers

Answer:

C

Step-by-step explanation:

cost=price of one box (number of boxes)

:))

A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

We apply our knowledge of slope intercept form:

y = 1/2 x + b

therefore, we  plug in the values for x and y getting

-3/2 = 0 + b

so b = -3/2, plug it back into the equation getting

y = 1/2x - 3/2

Solve for b
Is it square root 39?
Or
Square root 89?

Answers

Answer:39

Step-by-step explanation:

Answer:

[tex]\sqrt{39}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]b^2+5^2=8^2[/tex]

We can rearrange this equation to find b:

[tex]b^2=8^2-5^2\\\\b^2=64-25=39\\\\\sqrt{b^2}=\sqrt{39}\\\\b=\sqrt{39}[/tex]

A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.

Answers

Answer:

355 ounces

Step-by-step explanation:

Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:

[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]

"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.

[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]

[tex]\frac{352oz}{1} + 3 = x[/tex]

[tex]352+3 = x[/tex]

[tex]x=355[/tex]

So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)

Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?

Answers

Answer:

$126 is correct

Step-by-step explanation:

Answer:

$126/month

Step-by-step explanation:

Divide the total cost ($756) by 6 (months).  We get $126/month.  Six months' payment (6 times $126) will produce a total savings of $756.

Please please help meee please help meeee

Answers

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

Please help me please help mee

Answers

I’ve attached my work, hope it helps!

HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters

Answers

Answer:

inches

Step-by-step explanation:

pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.

How do you show that x=6 is an true equation ?

Answers

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Convert .45 to a fraction help for brainlist! with explaintion

Answers

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)

You earn
$10 per hour working as a manager at a grocery store.
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
$
do not want to work more than 20 hours
but you
per week.
a. Write and graph a system of linear inequalities
that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons.

Answers

We want to get a system of inequalities that models the given situation.

The solutions are:

a) The system is:

x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0

And the graph can be seen at the end.

b) A solution can be x = 12 and y = 2

c) x = 8 and y = 1 is not a solution.

First, we need to define two variables:

x = number of hours working as a manager.y = number of hours teaching lessons.

a) First, we know that you must at least 8 hours per week in the grocery store, then:

x ≥ 8

We know that you need to earn at least $120 per week, then we have the inequality:

x*$10 + y*$15 ≥ $120

And you don't want to work more than 20 hours per week, this gives:

x + y ≤ 20.

We also add the trivial restriction:

y ≥ 0

Then the system is:

x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0

The graph can be seen at the end.

b) The solution region is the interception of the four shaded regions (is the dark blue part).

A solution in that region can be:

x = 12

y = 2

c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/2065712

Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.

Answers

Answer:

£30000

Step-by-step explanation:

I used a couculator

If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?

A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.

Answers

The answer of your question is c

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

00
A student ran a distance of 33 miles each day for 5 days. Then the student ran a distance of 4 miles each day
for the next 5 days.
What was the total distance in miles the student ran during these 10 days?

Answers

☆Answer : 33miles = 5days 4miles = 1days

10days = ... miles

= 5days × 2

= 33 × 2

= 66miles

NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo

Answers

Answer:

D - Two.

Step-by-step explanation:I took the test and this was the correct answer.

What is (f•g)(x)?
f(x) = 4x + 6
g(x) = -5x

Answers

(f.g)(x) = (4x + 6)(-5x) = -20x^2 -30x

ok done. Thank to me :>

24 pens in 2 boxes How many pens in 1 box?__________

find unit rate

Answers

24 pens divided by 2 boxes equals 12 pens per box.

Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3

Answers

Answer:

2v6y719x3

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP 1

Equation at the end of step 1

 (((2v2 • y711) • v4) • y8) • x3

STEP 2

Final result :

 2v6y719x3

A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.​

Answers

Time can't be negative so we need to get absolute value of x .

Select two numbers that make the inequality true.
1/2x<10

Answers

Answer:

Any numbers below 20

Step-by-step explanation:

1/2x<10

Hope this helps :)

[tex]\sqrt{5}+\sqrt{5}=?[/tex]

Answers

[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]

9y?+21yz -8y?
hey, cansomebody help me? we've to factorize.​

Answers

Factor the polynomial.
y ( y + 21 z^4 )

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 9y² + 21yz⁴ - 8y²

Simplify the expression, then we have

⇒ 9y² + 21yz⁴ - 8y²

⇒ y² + 21yz⁴

Factorize the expression, then we have

⇒ y² + 21yz⁴

⇒ y(y + 21z⁴)

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

2x-y=5
2x-5y=-31
elimation method

Answers

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

which one is correct and if you chose a,b,c,d explain why
a
b
c
d

Answers

Answer:

A. √150

Step-by-step explanation:

12² = 144

13² = 169

The only value of any of the options falling between 12 and 13 is √150

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