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

1. What is 85% of 620?
1147
527
729
465

Answers

Answer:

465 I think is the answer

527 is your answer.

% / 100 = Part / Whole

replace the given values:

85 / 100 = Part / 620

Cross multiply:

= 85 x 620 = 100 x Part

= 52700 = 100 x Part

Now, divide by 100 and get the answer:

Part = 52700 / 100 = 527

Math

1. What is 1 1/2 + 3/4

Answers

Answer:

2 1/4

Step-by-step explanation:

First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters.  Thus, 2 1/4 or 2.25 is the answer.

1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25

Feel free to rephrase this in your own words! Hope this helps!

This figure has two intersecting lines and a ray.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

The correct answer is 24

Step-by-step explanation:

K12 test

figure has two intersecting lines and a ray.

From this figure, the value of x= 24

Given :

Two intersecting lines and a ray. one angle is 110 degrees.

opposite to 111 degrees are 87  and x degrees

From  the two intersecting lines, we know that vertical opposite angles are equal .

111 degrees and 87+x  are vertical opposite angles

So, they are equal .

Lets make them equal and solve for x

[tex]111=87+x[/tex]

Now we subtract 87 on both sides and solve for x

[tex]111-87=87-87+x\\\\x=24[/tex]

So the value of x is 24 degrees

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The diameter of a circle has length 12. The center is at (-5,2) . Give the equation of the circle?

Answers

9514 1404 393

Answer:

  (x +5)² +(y -2)² = 36

Step-by-step explanation:

The radius is half the diameter, so is 12/2 = 6.

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

For the given parameters, the equation is ...

  (x +5)² +(y -2)² = 36

Write the polynomial that has factors of -15 and 3.

Answers

Answer:

Find the GCF of all the terms in the polynomial.

Express each term as a product of the GCF and another factor.

Use the distributive property to factor out the GCF.

Step-by-step explanation:

What is the value of the expression shown below? (4 points) 2 over 3 to the power of 2 + 5 × 2 − 4

Answers

Answer:

6 4/9

Step-by-step explanation:

2 over 3 to the power of 2 + 5 × 2 − 4

[tex](2/3)^2+5*2-4=[/tex][tex]4/9 + 10-4=[/tex][tex]4/9+6=[/tex]6 4/9

(2/3)^2 +5×2−4

=4/9 + 10-4

=4/9+10−4

=4/9+6

= [tex]6 \frac{4}{9} [/tex]

Therefore, 6 4/9 is ur answer

HELP ASAP!!!
I’ll make it Brainliest

Answers

Answer:

The answer to number 1 is c.

For the second one, I think it's D but I'm not sure.

Step-by-step explanation:

The median is the middle number of a list where all the numbers are listed from least to greatest.

Please tell me if I was right on the second one.

1
_ x + 9 for x=3 .............................................
2

Answers

Answer:

10.5

Step-by-step explanation:

[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]

[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]

x=3

[tex]\\ \tt\Rrightarrow x/2+9[/tex]

[tex]\\ \tt\Rrightarrow 3/2+9[/tex]

[tex]\\ \tt\Rrightarrow 3+18/2[/tex]

[tex]\\ \tt\Rrightarrow 21/2[/tex]

[tex]\\ \tt\Rrightarrow 10.5[/tex]

No answer choice was submitted. Please try again
A catering company charges $300 plus $40 per guest for a wedding, Sarah and Eric do not want to spend more than 55.000 on
catering. Write and solve aninequality in terms the number of guests, g, that can be invited.
A)
300 - 40g = 5000; 9 2 117
B)
300 - 400 = 5000; g = 118
300 + 40g = 5000; 95 117
D)
300 + 40g = 5000:9 $ 118

Answers

Answer:

6

Step-by-step explanation:

How many square meters are there in a floor that is 9 meters long by 12 meters wide?

Answers

Answer:108

Step-by-step explanation:

Answer:

108 square meters

Step-by-step explanation:

12*9=108

Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.

Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.

Answers

Answer:

i don't really know but can you explain more so I can understand how to do it

During which phase were no faults introduced?

Answers

Step-by-step explanation:

phase 4 had no faults introduced

Please help
I will mark brainliest
Answer the questions in the picture
Thank you :)

Answers

8) density=mass/volume

mass=density×volume

mass=4.7(cm³)×19.3(g/cm³)=90.71 g

9) V= width × length × height


A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact center of the bedroom wall.
How many feet are between the right edge of the painting and the right edge of the bedroom wall, x?
O 16 feet
o 9 feet
04 feet
.3 feet

Answers

the answer is 9 feet

cuz 12-3=9

You buy a new computer for $1.500. The value of the computer decreases by 6% every yearHow much is the computer worth after 4 years?

a. $1,171.05
b. $1,225.35
c. $1,008.50
d. $999.80

Answers

Answer:

A. $1171.05

Step-by-step explanation:

1500 × (1-(6 / 100))⁴

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

Answer:

b. $1,225.35

Step-by-step explanation:

Need help on this question

Answers

Answer:

measure of angel VUT is 65°

Step-by-step explanation:

Angel UTP is 115° and to find UTV you subtract 115 from 180 to get 65°. And to find VUT you subtract 65 and 50 from 180 to get 65°

Write 47/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats

Answers

it would be 4.2727, just round and you should get 4.3. sorry if i’m wrong

i rlly need help--plzzzzzzzzzzzzzzzzz 10 points

Answers

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

what is 1/4 x 1/4 x 1/4 do the answer in fraction form

Answers

Answer: 1/64

Reasoning: 4*4*4 is 64
(1/4)(1/4)(1/4)

3 (1/4)s

(1/4)³1/4³1/64

Jim has a bank account balance of −$15.46. As soon as he realizes this, he deposits $25.50 in the account.

What is Jim's bank account balance after the deposit is made?

Enter your answer in the box.

$

Answers

Answer:

$10.04

Step-by-step explanation:

-15.46+25.50

equals

25.50-15.46

For this problem I got 40.96. Please correct me if I am incorrect, Thank you.

What is the LCM of [tex]10f^{2} gh\\and\\35f^{3} g^{2}[/tex]

Answers

Answer:

[tex]70f^{3}g^{2}h[/tex]

Step-by-step explanation:

find the other endpoint of the line segment with the given endpoint and midpoint.
endpoint- (-6,4) and midpoint (4,8)​

Answers

Answer:

(14,12)

Step-by-step explanation:

Answer:

(14,12)

Step-by-step explanation:

(4,8)

(-6,4)

find the coordinates of the unknown endpoint

(14,12)

help me pls don't type random letter or I will report u ty​

Answers

The correct answer is 22/30

Wich number is written in the scientific notation

Answers

Answer:

c. 1.3452 x 10^4

Step-by-step explanation:

Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7

Answers

Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

What is an equation?

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.

The logarithmic equation given in the question is:

[tex]log_x5 + log_x12 = 7[/tex] ...(i)

By using the following property of logarithm, we can simplify this equation.

[tex]log_x(ab) = log_xa + log_xb[/tex]

By using this property in eq (i)

[tex]log_x[5 \times 12] = 7[/tex]

[tex]log_x[60] = 7[/tex]

By using logarithmic transformation.

[tex]x^7 = 60[/tex]

∴ [tex]x^7 - 60 = 0[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Hence, The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

To learn more about equation, click:

brainly.com/question/10413253

#SPJ7

write 1 409 in words

Answers

Answer:

One thousand four hundred nine

Step-by-step explanation:

What is an equation that describes the relationship for the table shown?

Answers

answer:
y = - 7x + 8

The graph of linear function fpasses through the point (1, -9) and has a slope of 3.
What is the zero of f?
4
-2
2
-6

Will give brainliest if your right

Answers

It is -2

Slope=-3
Coordinates= (1,-9)

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

ydkyksykdysjgjzgjz

Step-by-step explanation:

hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin

Which of the following graphs represents a function? Choose all that apply.

Answers

the one with the vertical parabola and the one with the straight line
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