Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500. If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is ______________. If Eve raises exactly $9,500, is it possible for there to be 220 participants in the 5K race? (yes or no)

Answers

Answer 1

Answer: [tex]20x +45y=9500[/tex] is the linear equation.

yes, it is possible.

Step-by-step explanation:

given data:

we were told that she would make $20 for each 5K participant and $45 for each 10K participant.

cost of each 5k participant = $20

cost of each 10k participant = $45.

her target = $9500

solution:

let y represent the 10k

let x represent the 5k participant

the linear equation for this scenarios is

[tex]20x +45y=9500[/tex]

(b.) possibility of having 220 participant in the 5k race.

[tex]\\20(220) +45y=9500\\4400 + 45y = 9500\\45y = 9500- 4400\\45y = 5100\\y = \frac{5100}{45} \\y = 113[/tex]

Answer 2

Answer:

Step-by-step explanation:

It is given that x is the number of participants in the 5K race and y is the number of participants in the 10K race.

Eve makes $20 for each 5K participant and $45 for each 10K participant. She wants to raise $9,500. The linear equation below represents the given scenario.

If Eve raises exactly $9,500 and there are 220 5K participants, the number of 10K participants is found as shown below.

It is not possible to have 113.3 participants in the 10K race. So, no, it is not possible for Eve to raise exactly $9,500 if there are 220 participants in the 5K race.


Related Questions

Pls pls help with math final !!

Answers

Answer:c

Step-by-step explanation:

A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.

Answers

Answer:

498 ft

Step-by-step explanation:

The zip-line, wall and end of the zip-line to wall form a right-angled triangle.

Since the zip-line which is 500 ft long represents the hypotenuse side, the top of the zip cord to the ground represents one side of the triangle which is 45 ft long and the third side is represented by the horizontal distance between the wall and the zip-line.

By Pythagoras' theorem,

L² = h² + d² where L = length of zip-line = 500 ft, h = height of top of zip cord from ground = 45 ft and d = horizontal distance between the wall and the zip-line.

So, d² = L² - h²

d² = (500 ft)² - (45 ft)²

d² = 250,000 ft² - 2025 ft²

d² = 247,975 ft²

d = √247,975 ft²

d = 497.97 ft

d ≅ 498 ft

The horizontal distance between the wall and the end of the zip-line is:498 ft.

Horizontal distance

Using Pythagoras theorem formula

d= √L² + h²

Let plug in the formula

d=√500 ft² - 45 ft²

d=√ 250,000 ft² - 2025 ft²

d = √247,975 ft²

d = 497.97 ft

d= 498 ft (Approximately)

Inconclusion the horizontal distance between the wall and the end of the zip-line is:498 ft.

Learn more about horizontal distance here:https://brainly.com/question/24784992

pleasee help please ​

Answers

Answer:hi

Step-by-step explanation:

can someone help me pleas

Answers

The last choice is the correct answer (-1,-2)

Answer:

(-1,-2)

Step-by-step explanation:

D's original postion/location is at (1,-2)

You basically take the point D and keep your y coordinate, -2, the same /constant and change your x coordinate (flip the sign)

So keeping the y-coordinate constant, -2 changing positive 1 to negative 1

So.. D's location reflected on the y axis is (-1,-2)

*Let's Say: D was reflected on the x-axis you would do the opposite by keeping the x coordinate constant and flipping the y-coordinate sign (to positive)

So...

D's location reflected on the x-axis is (1,2)

60 points to who answers with the work pls!!

Answers

Answer:

Try c am sure it is correct

What is the unit rate for 46$ for 5 toys

Answers

Answer:

The unit rate is $9.20 per toy

Step-by-step explanation:

Since the total of the toys is 46, you divide by 5, to see how much each toy is

$9.20, all u have to do is divide 46 by 5

write an equation for each line in slope intercept form​

Answers

Answer:

(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly kcharacterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness

Step-by-step explanation:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness

3+3=
1. 4
2. 3
3. 2
4. 7
5. 9
6. 1
7. 10
8. 6

Answers

Um id kif u serious but the answer is option 8 — 6

ok bye

Answer:

The number 8.ITS 6

Step-by-step explanation:

A survey of 100 doctors revealed that 2 put of every 5 doctors recommended Brand M deodorant. Based on the results, how many doctors did NOT recommend Brand M.


A.20
B.60
C.140
D.40​

Answers

Answer:

B. 60

Step-by-step explanation:

7|x -9| -5 = -3|x -9| + 257∣x−9∣−5=−3∣x−9∣+25
Choose 1 answer:


(Choice A)
A
Only x=6x=6x, equals, 6

(Choice B)
B
Only x=12x=12x, equals, 12

(Choice C)
C
x=6x=6x, equals, 6 or x=12x=12x, equals, 12

(Choice D)
D
Only x=-6x=−6x, equals, minus, 6

(Choice E)
E
There are no solutions

Answers

Answer:Im pretty sure its choice B

Step-by-step explanation: its hard to explain

solve 3^x+3=30 (will give brainlest for the correct answer)

Answers

Answer:

x=3

Step-by-step explanation:

3^x+3=30

3^x=27

3^3=27

x=3

Answer:

Step-by-step explanation:

3 x 3 = 9 + 3 = 12

30 divided by 12

= 2.5

Can someone plzzz help mee ill give brainlest

Answers

Answer:

167.55 cm

Step-by-step explanation:

The formula for cone volume is : V=π r^2 h/3

π = 3.14

r = radius

h = height

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

I need help fast please

Answers

The answer is the first one

Answer:

A

Step-by-step explanation:

Number of lunches, and the cost both still need to go up.

Tbh this one just seemed right!

Hope this was right! (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

What is the rule for the reflection?

ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. ry=–x(x, y) → (–y, –x)

Step-by-step explanation:

How do I write this as a problem:
Three times a number less than 18 is no more than 15

Answers

I believe the answer is 18 - 3x ≤ 15,

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8

Answers

Answer:

x = -2, x = 6

Step-by-step explanation:

18 = 3|x - 2| + 6

12 = 3|x - 2|

4 = |x - 2|

4 = x - 2    and    -4 = x - 2

x = 6    and    x = -2

Answer:

C

Step-by-step explanation:

x = -2    x = 6

got it right on EDGE

7 - (-14) help me show the work plzz

Answers

21 because this -(- means a positive.

please help

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?
4x < h < 10x
10x < h < 4x
h = 4x
h = 10x

Answers

Answer:

Step-by-step explanation:

Sum of two sides of triangle always greater than third side, so the possible values of h is:

7x-3x < h < 7x+3x

4x < h < 10x

what type of angle is this?

Answers

The correct answer is A which is obtuse

What are the 3 possible middle names for a triangle and define them

Answers

Isosceles triangle: is or can be drawn in different ways
Equilateral triangle: all sides are equal
Scalene triangle:none of its sides are equal in length

Mrs.Dawsoms twenty-five member dance class is raise at least $1,300 to cover the cost of entry fees.The class has currently raised $ 550. If each to determine,a,the amount of money each member could raise to meet the goal.?​

Answers

30 dollars each member

Step-by-step explanation:

1,300 minus the 550 that they already raised, divided by 25 (for the number of team members = 30 dollars each member .

The measure of the exterior angle of the triangle is

Answers

139 degrees is probably right... I did it in my head so u mighr want to check

Answer:

139°

Step-by-step explanation:

By definition, the measure of an exterior angle is the sum of the two interior angles not supplementary to the exterior one.

Here, we see that the two interior angles not supplementary to ∠2 are valued at 75° and 64°, so our exterior angle is the sum of these:

∠2 = 75 + 64 = 139°

Mr. Frank bought a car that cost $33,000 dollars. The car depreciates approximately 12% of
its value each year. Which equation represents the value, v, of the car after t years?

Answers

Answer:

v = 33,000 - 3960t

Step-by-step explanation:

3960 is equivalent to 12 percent of 33,000. The original value of the car, 33,000, then decreases by 3960 dollars times t, the number of years.

plz help Find a pattern for the sequence. Use the pattern to show the next two terms. 20 17 14 11...

Answers

Answer:

8,5

Step-by-step explanation:

20,17,14,11,8,5,2,

Work out the value of angle x.

Answers

X=45


We already know that one angles is 90 degrees and that the full degrees inside a triangle is 180

So minus 90 from 180 and you get 90.

Since the other two angles are congruent that means they have the same measure so divide 90 by 2 to get the measure of both angles which is your answer

Answer:

The answer is 45 degree.

hello pls help with this ​

Answers

Answer:

C

Step-by-step explanation:

it’s c step-by step explaination

can someone help me real quick
the perimeter of the rectangle is 24 feet. what is the width of the rectangle?

Answers

Answer: the width of the rectangle is 12

Aden wants to sell his old baseball cards. The original price of each baseball card was $3. He wants to markup the price by 25%. For what price is Aden selling each baseball card?

Answers

Answer:

3.75

Step-by-step explanation:

half of 3 is 1.5 and half of 1.5 or a quarter of 3 is .75

hey! im confused on this. ill give more points if you end up being correct :)

Answers

Answer:

A

Step-by-step explanation:

How many right angles appear to be in the figure
A. One
B. Two
C. Three
D. Four

Answers

Answer:

1

Step-by-step explanation:

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