The money collected from a Saturday car wash are directly proportional to the number of cars washed. The total money collected after 7 cars is $140. Write an direct variation equation relating the money collected (m) and the number of cars washed

Answers

Answer 1

Answer:

[tex]m=20c[/tex]

Step-by-step explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

[tex]m=kc[/tex]

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

[tex]140=7k[/tex]

Find k. Divide both sides by 7:

[tex]k=20[/tex]

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

[tex]m=20c[/tex]

This means that every car costs $20 to wash.

And we're done!

Answer 2

Answer:

7x140=980

Step-by-step explanation:

7x140= what


Related Questions

find the line of the equation that passes through (3, -4) and is parallel to 3x + y + 2 = 0
leave your answer in the form of y = mx + c

Answers

hi

3x+y +2 = 0   so   y = -3x-2

parrallel  line has the same slope , so  is  -3x

then  :     -3 (3) +c  = -4

               -9 +c = -4

                 c = -4 +9

                 c = 5

so parallel is   : y=   -3x +5

Simplify: (3x2 - 4x+6) + (7x-2)
OA. 3x2 + 3x + 4
OB. 3x2-11X-8
OC. 3x2 + 11x + 4
OD.
10.x2 - 6x + 6

Answers

Answer:

3x^(2)+3x+4

Step-by-step explanation:

Answer:

[tex]3x^{2} +3x+4[/tex]

Step-by-step explanation:

1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]

2.)Group like terms

3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]

4,)Add/Subtract the numbers 6-2=4

5.)[tex]=3x^{2} +3x+4[/tex]

:)Hope you enjoy this:)

this fall 126 students participated in the soccer program, while 54 played volleyball. what was the ratio of soccer players to volleyball player?

Answers

Answer:

126:54, or

63:27,or

7:3

Step-by-step explanation:

we can see that 126 can be divided by 2, and so can 54, so we reduce to #2,

we can see #2 can be divided by 9, so we get to #3

Two sides of a right triangle measure 2 units and 4 units. What is the area of the square that shares a side with the third side of the triangle?

Answers

Answer:

The area of the square is 12 squares unit

Write 1/4x-3/4y=-1 in standard form
work out


need asap


please

Answers

Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?

Answers

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:

PLS HELP HURRY ILL MARK AS A BRAINLESS

Answers

Answer:

I think the answer is 31 I'm not sure tho this isn't my strongest subject

Jackie worked 7.5 hours yesterday. If she earns $8.05 an hour, how much did she earn yesterday?

Answers

Answer:

$56.50

Step-by-step explanation:

I think. Something close to that.

Answer:

Hi there!

Your answer is:

Estimated to 60.38$

Step-by-step explanation:

7.5 hrs yesterday

8.05$ per hour

7.5hrs * 8.05dollars per hour = 60.375$

Estimated to 60.38$

what is 5+5= because i have no clue

Answers

Answer:

5+5=10

Are you a student of class 1??

The larger of two numbers is equal to three times the smaller.if twice the larger is added to three times the smaller, the sum is 27.Find the anwser

Pls help thank you

Answers

Answer:

           These numbers are 3 and 9

Step-by-step explanation:

x - smaller number

3x - three times the smaller number = the larger number

2×3x - twice the targer number

2×3x+3x  - twice the larger is added to three times the smaller

2×3x + 3x = 27

6x + 3x = 27

  9x = 27

 ÷9     ÷9

   x = 3

3x = 3×3 = 9

WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

C: The graph is not a function of x because the line y = 0 intersects the graph at two points.

Step-by-step explanation:

The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)

What is the answer for this question.

Answers

Answer:

x is a real number

Step-by-step explanation:

5x + 5/4 = x − 3/9 please show work

Answers

5x + 5/4 = x - 3/9

5•x + 5/4 = x - 3/9

144x = -57

x = -19
48
≈ -0.395833

Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.

Answers

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

The picture is above. PLEASE HELP.

Answers

The answer is -28. You simply plug in 4 into the x values (:

Answer:

f(4) = -28

Step-by-step explanation:

f(x) = -[tex]x^{2}[/tex] - 6x + 12

f(4) = -[tex]4^{2}[/tex] - 6(4) + 12

f(4) = -16 - 24 + 12

f(4) = -40 + 12

f(4) = -28


Complete the sentence.
The intersection of a circle and a regular hexagon can be....
-two line segments
-a triangle
-two points
-a trapezoid

Answers

Answer: two points

Step-by-step explanation:

The intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The intersection of a circle and a regular hexagon.

As we know, the polygon is a geometric figure with a finite number of sides in two dimensions.

On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

If the circle and regular hexagon will intersect on a coordinate plane then it will create two intersection points.

Thus, the intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

A taxi service charges you $1.50 plus $0.60 per minute for a trip to the airport. The distance to the airport is 10 miles, and the total charge is $13.50
How many minutes did the ride to the airport take?

Answers

The taxi ride should be twenty minutes long

Answer:

20 minutes

Step-by-step explanation:

The question can be shown like so, 1.5+0.6x

Since the total charge was 13.5, you can write an equation

13.5=1.5+0.6x

Simplify using property of subtraction

13.5 - 1.5= 1.5 - 1.5 + 0.6x

12 = 0.6x

Simplify using property of division

12/0.6= 0.6x/0.6

x=20

Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?

Answers

Start by finding out how many books per shelf. So divide 48 by 6, which would mean 8 books per shelf.
Multiply this by 12 shelves, which gives you 96 books.
Hope this helps!!

What is the percent of change from 5,000 to 8,000?

Answers

i’m trying to figure out the same thing

Step-by-step explanation:

% change = (new - original)/original × 100

= (8,000 - 5,000)/5,000 × 100

= 3,000/5000 × 100

= 60%

The local craft fair charges the vendors a flat fee of $15 plus $5 for each hour that they spend at the fair. If the vendor owed how many hours did he remain at the craft fair ?

Answers

Answer:

Equation should be: 15x + 5 = y

Step-by-step explanation:

I do not know the amount of money that he owed

For Example :

15(12) + 5 = y

180 + 5 = y

y = 185

Sorry if I'm incorrect

In a class 28 of students, 9 are female and 5 have an A in the class. There are 17
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?

Answers

17/28
i think
i haven’t done stats in a really long time

Answer:5/7

Step-by-step explanation:

Through (1,-4) Slope = -8
A. Rewrite the equation of the line in slope intercept form
B. Identify the slope and y intercept
(Show steps )

Answers

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

why is math so hard to me but easy for everyone else what division like 31 / 16 is very hard for me ​

Answers

31/16 = 1.93

All you have to do is figure out how many times 16 goes into 31 which in those case is ALMOST 2 times but 1.93 is the answer it is and it is off by .07

A person is riding a bicycle along a straight highway.
The graph at the right shows the rider's distance y in miles from a First Aid Station after x
hours.
(a) Find the slope-intercept form of the equation of the line.

Answers

Answer:

y=28/3x+6

Step-by-step explanation:

If you use the slope formula,     y2-y1

                                                      _____\

                                                       x2-x1

You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.                                                        

Charlie's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's
pool has the same length and height, but the width is three times larger. What is the
volume of the neighbor's pool?
A 1200 cu ft
B 1800 cu ft
C 603 cu ft
D 200 cu ft

Answers

B definitely, since the volume equation is (h)(w)(L). Having one of these values multiplied by 3 , then it’ll be 3 times the amount of the of Charlie’s pool

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Answers

Answer: It’s A

Step-by-step explanation:

Answer:

A,the loan balance decreases $500 per month.

Step-by-step explanation:

I need help please ​

Answers

-3 in the equation will be where the line starts on the y-axis. The 3/4x is the slope or how steep the line will be. Always remember rise/run or rise over run. Basically it means that the numerator in the equation, the 3 means that the line will go 3 units up and the 4 in the equation will mean that it will go 4 units to the right. Hope this helped

HELLPPP 7th grade!!! ILL BRAINLIST LIST 15 points!!!

Answers

Answer:

maria : 1/3 =0.3 line on top of three

franco:1/4=0.25

Step-by-step explanation:

tried my best hope its right :)

Answer:

Maria: 1/3 cups for each gallon

Step-by-step explanation:

Maria: 2/3 for every 2 gallons.  2/3:2

Franco: 1 1/4 for every 5 gallons.  1 1/4/:5

Okay, so I'm actually going to do it my way.

Maria : [tex]\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6[/tex]

So, I simply turn it into a bigger fraction and cut it in half!

So, Maria uses 1/3 of a cup for each gallon

Hope this will help you figure out Franco's!!!

Write 68,127,000,000,000,000 in scientific notation. (x10^​

Answers

Answer:

6.8127 × 10^16

Step-by-step explanation:

Hope this helps:)

Answer:

6.8127 *10^16

Step-by-step explanation:

Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.

What is -4x<8. I’m a little confused.

Answers

Answer:

x > -2

Step-by-step explanation:

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