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

Find the range of the data set : -5, -6, -1, -3, 6, 10

Answers

Answer:  16

Work Shown:

range = max - min = 10 - (-6) = 10 + 6 = 16

The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.

Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.

---Round answers to nearest cent

Answers

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]

b. compounded quarterly, n = 4

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]

c. compounded monthly, n = 12

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]

d. compounded continuously

[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]

PLEASE HELP WITH ALL!!!

Answers

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

-3/5 is greater than or less than -4/5

Answers

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Find k if X=2 and y=1 is a solution of 2x-8y+k/2=0​

Answers

Answer:

k=2

Step-by-step explanation:

2x-8y+k/2=0

puting the values of x and y

2*2-8*1+k/2=0

4-8+k/2=0

-4+k/2=0

k/2=4

sing changes if side changed

k=4/2

k=2

We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.

Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.

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

Find the domain of Log (x-4)

Answers

Answer:Domain:  ( 4 , ∞ ) , { x | x > 4 }

Bryon purchased a box of candy at the store. On his way home he ate 1/4 of the candy from the box. At dinner with friends later that night he served 1/2 of what was left. If there are 6 chocolates left in the box, how many did the box contain to start with?​

Answers

Answer:

6+6=12

12= 3/4th of the entire box

4=1/4th of the entire box

12+4=16

There was 16 chocolates originally.

Step-by-step explanation:

6 are left , 1/2 was eaten and a 1/4 was eaten. 6 left is equal to a 1/4. if a quater is 6 and their are 4 1/4 in a whole at 6 represent each quarter then 6*4=24

If a small boy in 30 days saved 1.00 to spend how much did he save each day

Answers

Answer:5 Penny's everyday for thirdy days

Step-by-step explanation:

At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let ᴀ be the number of adults going to the movies. Enter an algebraic expression in the box to represent the total price Shandra pays. Do not include the dollar sign in your answer.​

Answers

Answer:

y=6x+10a

Step-by-step explanation:

let the number of children be x

and the number of adults be a

let the total price be y

given that children tickets are $6 each

also, an adult ticket is $10

x+a=14-------1

y=6x+10a----2

Therefore the expression for the total price can be expressed as

 y=6x+10a

Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16​

Answers

Answer:

jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc

Step-by-step explanation:

A=9pi-9/2radical 3

this is the answer

brainliest please

Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?

Answers

Answer: 2.03

Step-by-step explanation:

Any helpp? someone....?

Answers

Answer:

I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.

Step-by-step explanation:

Layla painted 5/9 of a wall and Tim painted 6/7 of a wall. How much if the wall do they have left to paint?

Answers

Answer:

54/63 so 9 of wall to paint left

Step-by-step explanation:

I think its 9 to paint

5x + 2 = 3x + 4(2x - 1)

show steps

Answers

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Please help guys this is hard for my 3rd grader Brain

Answers

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.​

Answers

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

Learn more here:

https://brainly.com/question/2264277

If a polyhedron has 11 faces and 18 edges, how many vertices does it have?

Answers

Use Euler's formula for polyhedra: V - E + F = 2  

vertices - edges + faces = 2  

So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.  

Answer:

27 edges.

Please help me with number 8

Answers

Answer:

jjejejkwkwkqkkqkqkqkkqkqkq

Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]

Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!

Answers

Answer:

the answer is y=−3/7x+5

Step-by-step explanation:

sorry if I did it wrong

f(x) = x + 2 and g(x) = x2 – 4
What is (fºg)(x)?
x² –2
x² + 4x
x² + 4x-2

Answers

Answer:

x^2-2

Step-by-step explanation:

Sorry I dont have an explanation, its saying its saying its not valid and I am in a rush rn.

Answer:

for the first box its: x²-2

for the second box its: 2

for the third box its: B

for the fourth box its: 12

Step-by-step explanation:

i just did the assignment on edge

solve pls brainliest

Answers

Step-by-step explanation:

-181+485=304

-146-(-181)=35

A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope =  1/3

Substitute m = 1/3 and one given ordered pair  into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5

in 4567 which number means ones?​

Answers

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

First number 4 thousand second number means hundred third numbers means tens and fourth number means ones

Determine the domain and the range of the relation, and tell whether the relation is
a function.
{(13,2), (18, – 5), (39,2), (13,4), (51,4)}
--
What is the domain and range?

Answers

Step-by-step explanation:

it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.

anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.

the domain is {13, 18, 39, 51}

the range is {-5, 2, 4}

A pair of adjacent angles that form a straight line

Answers

Answer:

it is called a linear pair.

mark brainliest pls

Answer:

lianer lines

Step-by-step explanation:

16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN​

Answers

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles

Answers

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

Answer:

25 miles

Step-by-step explanation:

I'll create a set of proportions to figure out the answer (represented by x):

2:10 = 5:x

It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.

1:5 = 5:x

You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.

If you have questions or need clarification on anything, let me know!

You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?

A)$21.02

B)$28.59

C)$27.01

D)$23.56

Answers

Answer:

I think it would be this

Step-by-step explanation:

3,032,644 dollars left over. I am very sorry if I am wrong.

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Whatll I do? he asked, after explaining the situation to Nadine.Youll have to get it back, or your parents are out nine hundred dollars.Oh, no. He clapped his hands to his face in despair.She sent him home without a lesson. The bus ride back was pure agony. It reminded him of the previous bus, where the catastrophe had occurred. Fortunately, this driver, to whom Jerry confided his plight, advised him to call the bus companys lost and found. But it was six oclock; the bus companys phone recording said that the lost and found closed at five.The next day, Jerrys father drove him to the bus company office, andthe trombone wasnt there. No one had turned it in.Im an idiot, Jerry moaned, as his father drove him to the music school to meet his doom. I never do anything right.Youre not an idiot, youre a normal kid, and you do a million things right. Now youll never do this kind of thing again. 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