2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000. Be sure to define a variable and explain what your answer means in the context of the problem.

Answers

Answer 1

Answer

Step-by-step explanation:

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclistsLet x represent the number of cyclists.Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:Revenue = 60x + 15000Also, the cost of the race is $18 per entry, hence:Cost = 18xThey need to raise at least $57,000, hence:Profit ≥ 57000Revenue - Cost ≥ 57000(60x + 15000) - 18x ≥ 5700042x ≥ 42000x ≥ 1000Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists


Related Questions

Stephen can deliver 16 newspapers in 20 minutes. How long will it take him to deliver 64 papers? How long will it take to deliver 140 papers? How many papers can you deliver in 195 minutes?

Answers

Answer/Step-by-step explanation:

Given:

16 newspapers in 20 minutes

To Find:

How long will it take him to deliver 64 papers?

How long will it take to deliver 140 papers?

How many papers can you deliver in 195 minutes?

Note:

First Find deliver for newspaper in 1 minutes..

20/16=1.25

16/20=0.8

Solution:

How long will it take him to deliver 64 papers?

1.25x64=80

Therefore, 80 minutes to deliver 64 papers.

How long will it take to deliver 140 papers?

1.25x140= 175

Therefore, 175 minutes to deliver 140 papers.

How many papers can you deliver in 195 minutes?

0.8x195=156

Therefore, 156 papers is deliver in 195 minutes.

(If there any Mistake please tell me )

~RevyBreeze~

I need help trying to solve this or trying to prove if the two ratios equivalent or not. PLEASE HELP!!

Answers

Answer:

they are equivalent because when they have the same denominator, they have the same numerator.

Step-by-step explanation:

make the denominators the same by multiplying them together.

84/126 .      84/126

Answer:

They are equivalent.

Step-by-step explanation:

4             14

--   and    --

6             21

Calculating the cross product:

4* 21 = 84

6 * 14 = 84

So they are equivalent.

If h(x)=x2-5x+7 Find the value of h(-5)

Answers

Answer:

hope it helps you.............

circle the number sentences that are not true. a. 3/12 = 1/4 b. 1/2 = 5/10 c. 2/6 = 2/5 d. 7/10 = 4/6 e. 9/10 = 11/12

Answers

Answer:

c d e

Step-by-step explanation:

Answer:

A: True B:True C:False D:False E:False

Step-by-step explanation:

Find the area of the following shape. You must show all work

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

Answers

Answer:

51.5 unit²

Step-by-step explanation:

Add two horizontal segments to divide the figure into three:

Extend ED and add segment from the point F to BC.

Now we have two trapezoids and one triangle.

Area of triangle:

A = 1/2*(11 - 6)*(0 - (-3)) = 1/2(5)(3) = 7.5

Area of trapezoids:

A = 1/2[(11 - 4 + 11)*(-3 - (-6)) + (11 - 5 + 11)*(-6 - (-8))] = 1/2(18*3 + 17*2) = 44

Total area:

7.5 + 44 = 51.5

PLEASE PLEADE HELP WILL GIVE BRAINLIEST PLZZZZZZ
fill in blank

Answers

Answer:

2

Step-by-step explanation:

x = -2 y = 2

Find the value of F (-2) DUE TONIGHT WILL GIVE BRAINLIEST

Answers

The answer is -6

Because when x = -2, y = -6 on the graph

Calculate 0.82 + 0.35 and get the sum of the equation

Answers

1.17

because

1

0.82

0.35  +

---------

1.17

PLEASE HELP DUE IN LESS THAN 5 WILL MARK BRAINLIEST!!!!!!!!!!
Maximillan is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity, x, and the number of shrimp as the dependent quantity, y.

1. Identify the unit rate of this relationship. Explain what the unit rate means in terms of this situation.

2. Write an equation that demonstrates the number of shrimp cleaned per minute.

3. Is the relationship proportional or non-proportional? Explain how you can determine this using the graph and the equation.

Answers

Answer:

1. 1:4

2. y = 4 x X

3. yes

Step-by-step explanation:

1. every 1 minuet he cleans 4 shrimp

2. y is the number of shrimp and x is the time. if every miuet he cleans 4 shrimp, then that means you have to multiply the shrimp by the minuets. for example, if he spends 2 minuets, he cleans 8 shrimp because 2 x 4 = 8.

3. This is a proportional relationship because if you were to put this on a graph, it would be a strait line. for example, if you were to plot x (the time) on a line (this line would go horizontal) and y (shrimp) on the line (this line goes verticle) 1 minuet = 4 shrimp. 2 minuets = 8 shrimp. 3 minuets = 12 shrimp. 4 minuets = 16 shrimp.

i hope this helps. tell me if this is too confusing or if you need more help. have a great day :)

PLEASE HELP ME!!

5. Sandra's bank account has a balance of $(-53.90). To get back to a positive balance, she plans to
deposit money at a steady rate of $36.30 per week. How much will be in her account after 3 weeks?

Answers

Answer:

I think it's $109.17

Step-by-step explanation:

36.39 x 3 (weeks)

is 109.17

PLS HELP
Find the value of x in the triangle shown below

Answers

Answer:

62

Step-by-step explanation:

Answer:

x = 61.641°

Step-by-step explanation:

Hope it's help, study well and goodluck!!

Find the equation of the circle that has a diameter with endpoints located at (-3, 6) and (9, 6).

Answers

Answer: [tex](x+3)^2+(y-6)^2 = 36\\\\[/tex]

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

Explanation:

If you apply the midpoint formula to the given points, you should find the midpoint is (3,6). This point represents the center of the circle. This means (h,k) = (3,6).

The radius is r = 6 because this is the distance from the center to either given endpoint. Either count out the spaces or use subtraction of the x coordinates. This works because the y coordinates are all the same.

Use those h, k and r values to plug them into the equation below

[tex](x-h)^2+(y-k)^2 = r^2\\\\(x-(-3))^2+(y-6)^2 = 6^2\\\\(x+3)^2+(y-6)^2 = 36\\\\[/tex]

which represents the equation of the circle we're after.

The graph is below.

Select Correct or Incorrect for each equation.
Equation


−1−1= 0 Correct Incorrect

−1+1−1= 0 Correct Incorrect

Answers

Both of them are truly incorrect

Answer:

Both are incorrect

Step-by-step explanation:

k12 math test 2.12 Quiz: Division Properties
Have a nice day and good luck  !! :]

plz help me with this as soon as possibal

Answers

Answer:

plot between 1/3 and 2/3 or 1/2.

If a bus travels at 12 mph how long does it take it to go 35 miles?

Answers

Answer:2 hours and 55 minutes.

Step-by-step explanation:

2 hours and 55 minutes:)

Can u help with my homework
;-;

Answers

Answer:

id sa mp be para sure win ta

Three apple pies, all the following shape, are left on a counter. How much total pie has been left?

Answers

1 pie is the total pieeeeeeeeeee

Solve the following quadratic equation for all values of x in simplest form.
16 - 3.22 = 13

Answers

Answer:

13 by 10

Step-by-step explanation:

multiply 13 and your answer is 24

help me bro ion know how to do this junk

Answers

Answer:

The answer is

[tex] - \frac {7}{8} [/tex]

Answer:

-7/8

Step-by-step explanation:

If x= 4, find 2(x + 6)._____

Answers

Answer:

20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify.

x = 4

2(x + 6)

Step 2: Evaluate

Substitute in x:                                                                                                  2(4 + 6)(Parenthesis) Add:                                                                                            2(10)Multiply:                                                                                                             20

Answer:

20

Step-by-step explanation:

X=4

2(4+6)

2x4=8

2x6=12

12+8=20

Find the value of F (-2)

Answers

Answer:

Step-by-step explanation:

Start at x = - 2

Go down until you hit the line that looks like a check mark.

Read across to the y axis.

y = - 6

f(-2) = - 6

EXAMPLE 3
If m26 = 142°, find each measure. Give your reasoning.
a. mZ1 =
b. m 2 =
6
N
c. m23 =
32
d. mZ4 =
4
8
e. m25 =
f. m27 =
g. m 8 =

Answers

Answer:

Answer in the attached image.

One moving company charges 100$ plus 10$ per hour. Another company charges $50 plus $15 per hour. At what number of hours will the charge by both companies be the same?

Answers

The answer is: 12.5 hours

The answer is ten hours because 10*10=100+100=200 so if 15*10=150+50=200 they are the same so the answer is 10 hours

6. Dashawn bought a CD that cost $18.99 and
paid $20.51, including tax. What was the percent
of tax he paid?
A. 5%
C. 3%
B. 2%
D. 8%

Answers

Answer:

b. 2%

Step-by-step explanation:

20.51/18.99

Answer:

First subtract 18.99 from 20.51

this equals 1.52

then divide 1.52 by 18.99

to find the percentage that 1.52 is of 18.99

this is 8%

Two car rental companies have the following rate structures for a compact car rental. You rent charges $50 per day plus $.15 per mile and rent with us charges 45 per day plus $.20 per mile. If you rent a car for one day, for what number of miles will the two companies have the same total charge?

Answers

Answer:

The point of intersection of these two graphs is (100,65)

A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jackets. How many different outfits can he wear to school if he must wear one of each item

Answers

The boy has a choice from among 2•3•8•2 = 96 outfits.

Ryan wants to borrow a DVD from Zac so Ryan walks 12 blocks west to Zac's house, picks up the DVD, and
then walks 12 blocks back to his house, What was the total displacement Ryan traveled?

12 blocks west
24 blocks west
O blocks west
O 6 blocks west

Answers

Answer:

12 blocks west

Step-by-step explanation:

Okay so he walked 12 blocks west to Zac's house and then walked another 12 blocks back this means that he had to walk 12 blocks west to get to Zac's house

P.S. Sorry if it is wrong

Answer:

0 blocks west

Step-by-step explanation:

If you end at the same place you started just like on a racetrack one full lap.  Walking 12 blocks west then 12 blocks east back to the house displacement is 0 because you are back where you started from.

prove ΔBAD≅ΔCAD

please help if you can, offering 26 points!

Answers

Answer: AA Congruence

Step-by-step explanation: In ΔBAD and ΔCAD,

                                             ∠A = ∠D =90 (Since BA⊥AD)

                                             ∠ABD = ∠DCA

                         Therefore, ΔBAD≅ΔCAD (AA Congruence)

                                 

what is the answer to 5a+3b=c

Answers

Answer:

a = -0.6b + 0.2c

Step-by-step explanation:

Simplifying

5a + 3b = c

Solving

5a + 3b = c

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

5a + 3b + -3b = -3b + c

Combine like terms: 3b + -3b = 0

5a + 0 = -3b + c

5a = -3b + c

Divide each side by '5'.

a = -0.6b + 0.2c

in the game unicorn quest .brianna completed 2 levels and earned 56 points how many points will she earn if she completes 4

Answers

Answer:

112

Step-by-step explanation:

56/2=28

28x4=112

Answer: is 112

Step-by-step explanation:

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