HELP!
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

9514 1404 393

Answer:

60x +15000 ≥ 18x + 57000≥ 1000 cyclists

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.


Related Questions

2=8−6/4x help please yall whats the x

Answers

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?

Answers

Answer:

27 minutes

Step-by-step explanation:

(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 min

Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false? ​

Answers

Answer:

A) true

B) true

C) true

hope that helps :)

equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Answers

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

[tex]y = a(x - 1)^2 - 6[/tex]

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]

or

[tex]a = -\frac{1}{9}[/tex]

Therefore, the equation of the parabola is

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?

How many boxes of pencils should the manager expect to have after 20 days?

A. y = - 6x + 180; 120 boxes

B. y = - 6x + 180; 60 boxes

C. y = 6x + 180; 120 boxes

D. y = 6x - 180; 60 boxes

Will give 26 points!!​

Answers

The answer should be A

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yardof fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?

Answers

9514 1404 393

Answer:

 no; the yardage should be more than 0.75 yards

Step-by-step explanation:

A value that is 15% more than 0.75 will be a number that is greater than 0.75. The number 0.1125 is much less than 0.75, so cannot be the correct amount of fabric.

Chloe did not cut the correct amount.

(the correct amount is 0.8625 yards)

_____

Additional comment

Often, all that is needed for answering a multiple choice question properly is ...

  a) an understanding of what the question is asking

  b) comprehension of what the answer must look like.

Here, the directions are saying to cut more than 0.75 yards. The result will be a value that is more than 0.75 (and less than 1).

The value 0.1125 yard is 15% of 0.75 yard. The cut amount should be that much in addition to 0.75 yard: 0.75 +0.1125 = 0.8625 yard.

A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.

Answers

Answer:

50+15=65

Step-by-step explanation:

I know because it says total


Can someone help me and explain on paper , I’m still so confused

Answers

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

Find y' when y = (1/x) + tanx

Answers

Answer:

[tex]( - 1 \div x^{2} ) + sec ^{2} [/tex]

If a motorist asks for ten dollars
worth of gasoline and gasoline
is selling at $1.29 per gallon,
find the number of gallons she
will receive, to the nearest tenth
of a gallon.

Answers

she would get 7.7 gallons of gas

solve pls brainliest

Answers

Answer:

a. 9m/s × 27s = 243m

b. -6°C/3hrs = -2°C/hr

Help with test review homework please.

Answers

answer:
A. 11p^13
B. 10m^15

Answer:

11p^(13)

10m^(15)

Step-by-step explanation:

11×11=121 so sqrt(121)=11

Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.

sqrt(121p^26)=11p^(13)

In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.

Other problem is similar.

Sqrt(100)=10 and m^(30/2)=m^(15).

The answer is 10m^(15).

6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408

what is the product of 1/2 and 3/5 ?

Answers

Answer:

3/10

I think??

Answer:

The answer is 0.3

don't really have a step-by-step explanation just either look it up or do it on a calculator

Footlocker and Footaction are each having a sell on all of the latest name brand shoes. At Footlocker, you can get 2 pairs of Nikes for $69.98. At Footaction you can get 3 pair of shoes for $99.99

Answers

Answer:

I'm not sure what this is asking but footaction is cheaper

Step-by-step explanation:

footlocker the shoes (single pair) is 69.98/2 or 34.99

footaction is 99.99/3 or 33.33

Mary found a pair of boots that cost $60 sales tax is 7% what is the total price Mary will pay for the boots?

Answers

Answer:

2 Hola cómo estás mi amigo

Answer:

sale price SP= cost + sales tax

SP= 60 + 7% of 60

SP= 60+4.2

SP= $64.2

A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal
sections: 2 premium sections and 10 standard sections. A seat at the premium section
costs $48 per game. A seat at the standard section costs $27 per game.
1. How many seats are there in each section?
2.
If there are 35 seats in each row, how many rows are in each section?
3.
If all the seats in the premium section are sold out for a game, how much will the
stadium get from those ticket sales?

Answers

Answer:

omg so many Q's

Step-by-step explanation:

"The sum of a number and 7 divided by -3, is 2."

Answers

(x + 7)/-3 = 2
Multiply by -3
(x+7) = -6
Subtract 7
x = -13

The number is -13

Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12

Answers

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

/////////////////////////////////////////////////

Answers

Answer:

341

Step-by-step explanation:

We observe the pattern:

1, 5, 13, 25, ..

It can be put as:

0 + 1, 1 + 4, 4 + 9, 9 + 16, ..

or

0² + 1², 1² + 2², 2² + 3², 3² + 4², ..

The nth term is going to be:

(n - 1)² + n²

The sum of the 31 terms will be:

N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²

or

N = 2(1² + 2² + 3² + ... + 30²) + 31²

Use the formula for sum of the first n squares:

1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6

The sum N equals:

N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²

And the value of N/31 is:

10*31 + 31 = 341

The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

Answers

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

a) What is the equation of the function

b) Compare the graph to f(x)=2(x+1)^2

Answers

Answer:
A) ((x+1)^2)-3

B) f(x) = 2(x+1)^2 is vertically stretched upwards by a factor of 2. In addition to this, it’s minimum value remains on the x-axis, due to there being no vertical translation like in the equation on part A.
So: The equation in part A has no vertical stretch, and does have a vertical translation, however it retains the same horizontal translation.

Explanation:
You can see the transformations by looking at the vertex and at least 1 other point.
Since it is a parabola we can start by saying:
f(x) = x^2
We also see a vertical translation of 3 units down:
f(x) = (x^2)-3
Lastly, we see a horizontal translation of 1 unit to the left:
f(x) = ((x-1)^2)-3
The answer is A hope this helps

The ____ juice is made with a greater percent of water.

Answers

Answer:

Orange and apple

Step-by-step explanation:

Mark brainliest, isaac farts all the time u don’t want him to fart on u next

Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?

Answers

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

Read more:

https://brainly.com/question/20365394

Can someone please help me with this problem

Answers

Answer:

A is the right one

Step-by-step explanation:

if not I'm sorry I'm here to help

solve pls brainliest

Answers

Answer:

(1,6)

Step-by-step explanation:

all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)

Answer:

(1,6)

Step-by-step explanation:

Please answer. Don't spam!​

Answers

Hello Gumiho!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Find the distance.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Refer to the attached picture for the steps.

Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

What is the rational roots of 4x^3+9x^2-x+10=0

Answers

9514 1404 393

Answer:

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

Step-by-step explanation:

The rational root theorem tells you possible rational roots of this equation would be ...

  ±(divisor of 10)/(divisor of 4)

The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

_____

This particular cubic has one irrational real root near -2.689. It has no rational roots.

the equation for the vertical line that goes through point V (−5, 17).

Answers

Answer:

The answer to the above question is x = -5

Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.​

Answers

Answer:

fsuu vvv

Step-by-step explanation:

gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings

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