(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per ride. Which function can be used to determine how much money he has left over after x rides? f(x) = 1.5x + 70 f(x) = −1.5x + 70 f(x) = −1.5x − 70 f(x) = −20x + $90

Answers

Answer 1

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

f(x)= $70 - $1.5*x


Related Questions

a rectangle is 25 feet long its area 375 square feet.
What is the perimeter of the rectangle

Answers

Area = length x width.

Divide the area by the length of find the width.

Width = 375/25 = 15 feet.

The perimeter is the sum

Of the 4 sides.

Perimeter = 25 + 25 + 15 + 15 = 80 feet.

The perimeter of a rectangle is 80 feet.

Given that, the length of a rectangle=25 feet and area of the rectangle=375 square feet.

We need to find the perimeter of a rectangle.

What is the formula to find the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

We know that, the area of a rectangle=length×width

Now, the area of a rectangle=25×width

⇒375=25×width

⇒Width=15 feet

So, perimeter = 2(25+15).

=80 feet

Therefore, the perimeter of a rectangle is 80 feet.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

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1. Square of a Binomial
Symbols/Pattern:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = 22 - 2ab + b2
In the pattern, if a is the first term and b is the last term, then the square
of a binomial consists of:
a) the square of the first term (a);
b) twice the product of the first and last terms (2ab); and
c) the square of the last term (54).
2. The product of the sum and difference of two terms

Answers

i would love to help but then i remembered im too dumb to know the answer im sorry:((

The graph is posted now.

Answers

Answer:

where is the graph itself?

Answer:

  see below

Step-by-step explanation:

Pre-image: A(3, 8), B(3, 3), C(7, 3)

Reflection in the x-axis changes the y-coordinate sign:

  A'(3, -8), B'(3, -3), C'(7, -3)

Reflection in the y-axis changes the x-coordinate sign:

  A''(-3, -8), B''(-3, -3), C''(-7, -3)

__

Comment

We have assumed that the first image is reflected again to get the second image. If the second image is supposed to be a reflection of the pre-image, then only the sign of x will change from the pre-image coordinates.

There are no "rotated" images; only reflected ones. (Though, after the second reflection, the image could be considered to be a 180° rotation of the pre-image.)

What is the graph for y=3(x-1)^2

Answers

Root -( 1,0)
Minimum - (1,0)
Vertical intercept-(0,3)
It should look like a U
it’s a narrow parabola, with the vertex at (0,0). desmos is really helpful :)

Can someone help me? It's only 2 questions and I will give you 20 points and brainliest!

Answers

Answer:

Dont worry about me, I just added this answer so the other person can get their brainliest  because they definetly deserve it

Step-by-step explanation:

A company rents out 17 food booths and 21 game booths at the county fair. The fee for a food booth is $75 plus $10 per day. The fee for a game booth is $95 plus $4 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

Food booth= (75+10d)17

Game booth= (95+4d)21

Step-by-step explanation:

GAME BOOTH

$95 initial fee plus $4 per d amount of days

f(x)=95+4d

Multiply the expression by 21 because you have 21 game booths

FOOD BOOTH

$75 initial fee plus $10 per d amount of days

f(z)=75+10d)

multiply this expression by 17 because their are 17 food booths

hopefully this helps:)

Fifteen is no more than a number t​ divided by 5.

Answers

This was a wrong answer, Sorry.

Answer:

75

Step-by-step explanation:

if 15 is no more than a number t divided by 5 then you multiply 15 by 5 giving you the answer for t.

15=t/5

15*5=t

t=75

1/5 X– 5 = 15
I have no clue how to do this please help

Answers

I don't know where you got 15 from.

Answer: -1

Step-by-step explanation:

Multiply

1/5 × ( −5 ) = -5/5

Simplify

-5/5− = -1

Answer:

x=100

Step-by-step explanation:

1/5x -5 =15

-5

+5

___

0

then u do

1/5 divided by 20 =100

and the 1/5 cancel out and makes it only x so u drop it and it the answer will be

x=100

need help question is on question

Answers

Answer:

y = 7x + 2

Step-by-step explanation:

Here's attachment on what the table looks like and the slope intercept equation.

High Hopes ^^

Barry-

Answer:

y = 7x + 2

Step-by-step explanation:

makes sense i double check the others person.

Find the slope of the line through the given points. c (1,3) and (0,−9)

Answers

if you put it in the slop calculator it will tell you

A square has a diagonal that measures 18 inches. To the nearest tenth, what is the length of one side
of the square?

Answers

Answer:

18/sqrt(2)

Step-by-step explanation:

Divide the square into two congruent right triangles:

a and b are the sides of the triangle

since we know that a=b

then the right triangle is isosceles

meaning that the theorem of the 45-45-90 triangle is applicable

so then we can say that 18/sqrt(2) = a = b


9. Determine whether the ratios 5/6 and 10/18 are
proportional.

a. proportional
b. not proportional

Answers

Answer: b

Step-by-step explanation:

help me plz i need help

Answers

Answer:

91677.9415 milliliters

Step-by-step explanation:

Somebody please help me

Answers

Answer:

i think its the third one i could be wrong

Step-by-step explanation:

I think its the last one

What is the slope? The y-intercept? Write the y-intercept as a coordinate.

Answers

Answer:

The y intercept is (0,-3) The slope is 7/1 i think  

Show work please 100 points plus brainliest

Answers

Answer:

You have to replace x with 5

Step-by-step explanation:

-5^4+3(5)^3+11(5)^2+5(5)-9

41 <= answer

Answer:

Replace x with 5

Step-by-step explanation:

-5^4+3(5)^3+11(5)^2+5(5)-9

41 <= answer

simplify and expand (X+3)(x-3)(3x+3)

Answers

Answer:

3x^3 + 3x^2 - 27x - 27

Step-by-step explanation:

Answer:    3x^3 + 3x^2 - 27x - 27

===============================================

Work Shown:

(x+3)(x-3)(3x+3)

(x^2-9)(3x+3) .... difference of squares rule

y(3x+3) .... let y = x^2-9

y*3x + y*3 .... distribute

3x( y ) + 3( y )

3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9

3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute

3x^3 - 27x + 3x^2 - 27

3x^3 + 3x^2 - 27x - 27

It normally takes Julius 2 hours to mow the yard, but because he is in a hurry he asks his son, Marcos, to help him. If just his son was doing the yard work it would take him 3 hours. How long will it take if both are working together? Use the formula 1/T_1 +1/T_2 =1/T_both where T_1 is the time required for Julius to complete the job alone, T_2 is the time required for Marcos to complete the job alone, and T_both is the time required to complete the job when they both work together. Answer as a decimal, rounded to one decimal place.

Answers

Answer: 1.2 hours

Step-by-step explanation:

Given: : Time taken by Julius to complete the job alone: [tex]T_1=2\text{ hours}[/tex]

Time taken by Marcos to complete the job alone : [tex]T_2=3\text{ hours}[/tex]

Let the time taken by both to complete the job together = T

[tex]\dfrac{1}{T}=\dfrac{1}{T_1}+\dfrac{1}{T_2}[/tex]

[tex]\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{2}+\dfrac13\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{3+2}{2\times3}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{5}{6}\\\\\Rightarrow\ T=\dfrac{6}{5}=1.2[/tex]

Hence, it will take 1.2 hours to complete the job by working together.

How would I categorize numbers? For example, what category would √23 fit into? Thankssss

Answers

Answer:

  positive, real, irrational, algebraic

Step-by-step explanation:

Numbers are categorized various ways. Some categories include ...

  prime, composite

  real, complex

  integer, rational, irrational

  whole number, natural number

  positive, negative, zero

  algebraic, non-algebraic*

√23 is the positive, real, irrational root of a prime number. It is an algebraic number.

_____

* An algebraic number is a root of a polynomial with integer coefficients.

√23 is a root of x^2 -23 = 0.

Can someone help me wit da question listed in da picture?

Answers

Answer:

Option C)

Step-by-step explanation:

When Solving these equations rember PEMDAS

Parentheses Exponits MultiplyDivideAddSubtract

Hope this helps, PEMDAS is just an easy way to show what to do first, second, Ect.

Please Rate Brainiest!

-Aslina

Find the quotient: 8 ÷ 0.5

You can find the quotient by asking how many
are in 8.
Think of the problem as
items, each divided into 2 equal pieces.
The quotient is
.

Answers

The quotient is 16. Because 16 0.5s go into 8

Answer:

The answer is...........1:Halves 2:8 3:16

What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)

Answers

(2,5) hope this helps!

angelo wants to buy a laptop and an android phone to be used in his online class. He paid a total of Php 24, 200.00 for both gadgets. The price of the laptop is Php 3, 800.00 more than the price of the android phone.

Answers

Answer:

laptop: 14000

phone: 10200

Step-by-step explanation:

laptop: x + 3800

phone: x

x + 3800 + x = 24200

2x + 3800 = 24200

2x = 20400

x = 10200

laptop: 10200 + 3800 = 14000

phone: 10200

Which is the closest to 6.5x10-47
A. 0.065
B. 0.0065
C. 0.00065
D. 0.000065
E. 0.0000065

Answers

Answer:

Step-by-step explanation:

B

Jadah bikes 45 miles in 3 hours. At this rate, how far does she go in 8 hours?

Answers

Answer:

120 miles

Step-by-step explanation:

45 divided by 3 equals to 15 and 15 times 8 equals 120.

45 / 3 = 15

15 x 8 = 120

It takes Zoe 15
minutes to clean one
room. How many
hours will it take to
clean six rooms?

Answers

Answer: 90 mins/ 1 hour and 30 mins

Step-by-step explanation:

15x6= 90

What is the answer and please explain how you got it!

Answers

Answer:

B- The sales price = the original price - 25% of the originial price

Step-by-step explanation:

1+1+1+1+1000+8364+20484923743 - 24762837763

Answers

-427790398 should be your answer

-4,277,904,652 would be the correct answer

bird that was perched atop a 15 ½ foot tree dives down six feet to a branch below. How far above the ground is the bird’s new location

Answers

Answer:

ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird

Step-by-step explanation:

Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?

Answers

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

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