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.

Answers

Answer 1

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

Let x represent the number of cyclists.

Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:

Revenue = 60x + 15000

Also, the cost of the race is $18 per entry, hence:

Cost = 18x

They need to raise at least $57,000, hence:

Profit ≥ 57000

Revenue - Cost ≥ 57000

(60x + 15000) - 18x ≥ 57000

42x ≥ 42000

x ≥ 1000

Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

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Related Questions

A 35-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces

Answers

Answer:

5 inch - first board

10 inch - second board

20 inch - third board

Step-by-step explanation:

x = first board

board two = 2x

board three =4x

x+2x+4X=35

7x=35

x=5 inch - first board

10 inch - second board

20 inch - third board

if you practice a musical instrument each day for 2/3 of an hour how many hours of practice would you get in each week ​

Answers

Answer:

2/3 of an hour is 40 minutes so

40 x 7 = 280

You would practice that musical instrument 280 hours after a week

***hope this helps

Step-by-step explanation:

Answer:

14/3

Step-by-step explanation:

Please help me!
(But give in detail of how you got the answer)
Solve for s. 2/3s + 5/6s = 21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.

s =

Answers

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

[tex](\frac{2}{3}s + \frac{5}{6}s) = 21[/tex] [tex](\frac{4}{6}s + \frac{5}{6}s) = 21[/tex] [tex]\frac{9}{6}s = 21[/tex] [tex]\frac{3}{2}s=21[/tex]

Step 2: Multiply both sides by 2/3.

[tex]\frac{3}{2}s * \frac{2}{3} = 21 * \frac{2}{3}[/tex] [tex]s = \frac{42}{3}[/tex] [tex]s = 14[/tex]

Simplify.
320 (1/2)^5
A. 10
B. 50
C. 32
D. 160

Answers

Answer: A

Step-by-step explanation:

Answer:

[tex]320\left(\frac{1}{2}\right)^5=10[/tex]

Step-by-step explanation:

[tex]320\cdot \frac{1}{2^5}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \:320}{2^5}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:320=320[/tex]

[tex]=\frac{320}{2^5}[/tex]

[tex]Factor 320: 2^{6}*5[/tex]

[tex]=\frac{2^6\cdot \:5}{2^5}[/tex]

[tex]cancel \frac{2^{6}*5}{2^{5} }:2*5[/tex]

[tex]=2\cdot \:5[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10[/tex]

[tex]=10[/tex]

Hope it helps pls mark me as brainliest

1^2/13x 5^2\5 answer the question

Answers

Answer:

5/13x

Step-by-step explanation:

BRO

Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1

Answers

a is your answer to the question that you are asking

The only set of side lengths that can form a triangle is 9, 4, 8.

Option A is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if each of the given sets of side lengths satisfies this condition:

A.

9, 4, 8

9 + 4 > 8 ✓

9 + 8 > 4 ✓

4 + 8 > 9 ✓

All three inequalities are true, so these side lengths can form a triangle.

B.

14, 7, 6

14 + 7 > 6 ✓

14 + 6 > 7 ✓

7 + 6 > 14 ✗

The last inequality is false, so these side lengths cannot form a triangle.

C.

3, 8, 1

3 + 8 > 1 ✓

3 + 1 > 8 ✗

8 + 1 > 3 ✓

The second inequality is false, so these side lengths cannot form a triangle.

Therefore,

The only set of side lengths that can form a triangle is A. 9, 4, 8.

Learn more about triangles here:

https://brainly.com/question/25950519

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There are 95 students on a field
trip and 19 students on each bus.
How many buses of students are
there on the field trip?

Answers

five busses with 19 students on each
95/19 =5

Answer:

the answer is 5

Step-by-step explanation:

do 95 / 19 it will be 5 and do 19 x 5 it will be 95

12.5 miles per hour to meters per second
What would it be if you change 12.5 miles per hour to meters per second?

Answers

Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

hello there looking for help here thanks. giving brainliest if able to

Answers

Answer:

angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles

Answer:

1. False   Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.

2. False   interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.

3. True  (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.

4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)

Step-by-step explanation:

Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal

Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal

What is 3.28 rounded to the nearest thousandth

Answers

3.28 rounded to the nearest thousandth is 3.280

Tyger buys a car for $3200. He renovates it and eventually sell it for $3800. Work out the percentage increase he sold the car for.

Answers

Answer:

i believe it's about 18.75% he only gained $600

answer the question below

Answers

Answer:

B

Step-by-step explanation:

This is some strange math lol

can some 1 help me please

Answers

Answer:

ygghjhghccghhfghjkvgnkvvnvcvbvf

What would you need help with

What volume of fluid does a patient receive in 12 hours with a fluid rate of 24 mL/hr?

Answers

Answer:

Step-by-step explanation:

Just multiply 12 x 24

Write the slope-intercept equation of the line with slope -3/4 passing through the point (-4,5). If necessary, answer using fractions, not decimals.

Answer: ​

Answers

Answer:

y = -3/4x + 2

Step-by-step explanation:

y = -3/4x + b

5 = -3/4(-4) + b

5 = 3 + b

2 = b

Please help me ASAP

Answers

I would say answer choice 1. It’s the only one that makes sense.

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

(Y^2+y)(3y^3-2y^3)=y^2(3y^3-2y^3)+y(3y^3-2y^3)is an example of:

Answers

Answer: It B the distributive property

:D

ILL GIVE BRAINLIEST!!!

Justin rode his bicycle 2.4 miles a day for 20 days straight. How many miles did Justin ride altogether during the 20-day stretch?


A. 48
B. 68
C. 28
D. 50.5​

Answers

The answer to this question is 48 miles in 20 days.

Justin rode his bicycle in a day = 2.4 miles

Justin ride altogether during the 20-days = ?

? = 2.4 × 20

? = 48

Therefore, Justin ride altogether during the 20-days stretch is 48 miles.

PLEASE HELP I GIVE LOTS OF POINTS
Determine the range of the function graphed above.
A. [-4, 0]
B. (0,4)
C. [4, )
D. (-0, 4]

Answers

9514 1404 393

Answer:

  D. (-∞, 4]

Step-by-step explanation:

The range is the vertical extent of the graph. The graph extends off the bottom, so the lower end of the range is -∞. The peak values are y=4, so the upper end of the range is 4.

Expressed in interval notation, the range is ...

  (-∞, 4]

_____

Additional comment

The right-side bracket is square because the value 4 is included in the range. The left side bracket is rounded because there's no specific number equal to -∞. We can only say the lowest value of y is greater than -∞.

Answer: (-∞, 4]

Step-by-step explanation: Top of function stops at 4, and is negatively continuous.

2 divided by 2348=? plz help

Answers

Answer:

0.00085

                   

Hope this helps

Answer:

0.00085

Step-by-step explanation:

2/2348= 0.00085

A farmer grows 142 green pepper plants and 108 red pepper plants. Each plant produces about 26 peppers. The farmer plans to sell each pepper for​ $3. Explain how to find a reasonable estimate for the total amount of money

Answers

Add the number of plants up (142 + 108) and then multiply by the amount of peppers that grow from a single plant (26) to find the total estimate of peppers that would be grown.

And then to find the total amount of money that could be made, just multiply the total number of peppers and the price for a single pepper to find the estimate.

Select the expressions that are equivalent to 6x + 9x

Answers

Answer:

4x+2x+9x

9x+7x-x

15x

x.15

Find the greatest common factor (GCF) of 68 and 76.
A. 4
B. 6
C. 8
D. 2

Answers

Answer:

Its A

Step-by-step explanation:

Answer:

A. 4

Step-by-step explanation:

Find the area and perimeter.
5.6 cm

Answers

Answer:

A= 5.6 x 5.6 = 31.36

P= 5.6 × 4 = 22.4

Step-by-step explanation:

to find the area of a square, just take the length of 1 side and square it (A= length^ 2)

to find the perimeter of a square multiply length by 4 sides.

*these formulas only hold true for squares bc the length of each side is the same.

Find the sum of 12.01 and 3.8

Answers

Answer:

15.81 is the answer.

translate the 3 triangles below 4 units right and 3 units down

Answers

Answer:

If we translated the triangle 4 units right and 3 units down, then our new points would be J' (3,0)  K' (3,-2)  L' (0,-2).  Hope this helped ..

Step-by-step explanation:

Evaluate.

−|a+b|/2−c when a=178 , b=−1 , and c=−4

Enter your answer as a simplified fraction in the box.

Answers

a=1-7/8=15/8

b=-1

c=-4

[tex]\\ \sf\longmapsto \dfrac{-|a+b|}{2-c}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{15}{8}-1|}{2-(-4)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{7}{8}|}{2+4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{-7}{8}}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7}{8(6)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7}{48}[/tex]

Answer:

-7/48

Step-by-step explanation: I took the test

what is the inverse of -9x+2

Answers

Step-by-step explanation:

so,

y = -9x + 2

now we need to transform this equation that actually x is calculated out of y.

and then, at the end, to make the inverse function a formally correct function, we rename x to y and y to x.

so,

y = -9x + 2

y - 2 = -9x

x = -(y - 2)/9 = (-y + 2)/9

=> for a formal function definition

y = (-x + 2)/9

A school counts the number of students taking AMDM and find 225 students taking AMDM. They also count the number of students taking Physics and find 248 students taking the Physics. When they compare the two lists they find 98 student taking AMDM and Physics. What is the probability of a student taking AMDM given they are taking Physics. (Answer in decimal form rounded to the thousandth) ​

Answers

The probability of a student taking AMDM given they are taking Physics is 39.51%.

Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:

248 = 100 98 = X 98 x 100/248 = X 9800/248 = X 39.51 = X

Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.

Learn more in https://brainly.com/question/13019339

what expression is equivalent to (f + g)(4)

Answers

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation:

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