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​

Answers

Answer 1

Answer:

20x + 45y = 9500 is the linear equation for given scenario

Step-by-step explanation:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

Therefore, the linear equation for given scenario is found

Answer 2

Answer:

20x + 45y = 9500

yes/no: no

Solution:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.


Related Questions

what angle is supplementary to angle 5

Answers

Answer:

Angle 5 and angle 6 are supplementary angles

Step-by-step explanation:

Angle 5 and 6 are both supplementary angles because angle 6 and 5 are linear pairs

1 is supplementary to angle 5

If you have a system of two equations with two unknowns and the two lines intersect on
the graph, the system has how many solutions?

Answers

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer: no solution

Step-by-step explanation:

The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?

Answers

Answer:

It is not in control  because at least two of the  of the data points are more than 2 standard deviations from the mean are far apart.

18.3,18.4 > 18.2 Upper Control limit

14.9, > 15.4 Lower Control Limit

Step-by-step explanation:

Find the limits using μ ± 3σ  and μ ± 2σ

Using μ ± 3σ

Upper Control Limit = μ +  3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9

Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7

Using μ ± 2σ

Upper Control Limit = μ +  2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2

Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4

The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.

Rearranging these data points   14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.

We see from the above that it is out of control because the values jump above and below the mean.

It is not in control as two of the  of the data points are more than 2 standard deviations from the mean are far apart.

I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included

Answers

Answer:

get up a calculator and multiply the numbers and it will give you an answer

Step-by-step explanation:

hope this helps

PLS ANSWER BOTH for more points :)

Answers

Answer:

Number 16 is C and number 17 is D

Step-by-step explanation:

Can I get my points love these kind of questions

PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?

Answers

Answer:

3/4

Step-by-step explanation:

Just swap the colon (:) for a slash (/)

Answer:

Any of these should work for ya :)

 3/4 = 6/8 = 9/12 = 12/16

= 15/20 = 18/24 = 21/28 = 24/32

= 27/36 = 30/40 = 33/44 = 36/48

= 39/52 = 42/56 = 45/60 = 48/64

= 51/68 = 54/72 = 57/76 = 60/80

= 63/84 = 66/88 = 69/92 = 72/96

= 75/100 = 78/104 = 81/108 = 84/112

= 87/116 = 90/120 = 93/124 = 96/128

= 99/132 = 102/136 = 105/140 = 108/144

= 111/148 = 114/152 = 117/156 = 120/160

= 123/164 = 126/168 = 129/172 = 132/176

= 135/180 = 138/184 = 141/188 = 144/192

= 147/196 = 150/200 = 153/204 = 156/208

= 159/212 = 162/216 = 165/220 = 168/224

= 171/228 = 174/232 = 177/236 = 180/240

= 183/244 = 186/248 = 189/252 = 192/256

= 195/260 = 198/264 = 201/268 = 204/272

= 207/276 = 210/280 = 213/284 = 216/288

= 219/292 = 222/296 = 225/300 = 228/304

= 231/308 = 234/312 = 237/316 = 240/320

= 243/324 = 246/328 = 249/332 = 252/336

= 255/340 = 258/344 = 261/348 = 264/352

= 267/356 = 270/360 = 273/364 = 276/368

= 279/372 = 282/376 = 285/380 = 288/384

= 291/388 = 294/392 = 297/396 = 300/400

<3 Enjoy,

    Dea

Sally is currently working as a real estate agent at a local firm in Morris County. She is looking to promote the area and attract a new affluent clientele. Listed below are the prices of the last five home sales in the area and the descriptive statistics for those sales.

House A $200,000 Descriptive Statistics
House B $225,000 Lowest Price $200,000
House C $235,000 Mean Price $437,000
House D $275,000 Median Price $235,000
House E $1,250,000 Highest Price $1,250,000

What is the most ethical course of action Sally can take in advertising to potential clients?
a. Advertise that, "Homes in our area sell for over a million dollars!"
b. Advertise that, "Homes in our area sell for an average price of $437,000."
c. Advertise that, "Homes in our area sell for a median price of $235,000."

Answers

Answer:

c cuz a is misleading, b is misleading too as house e value is an outlier. so answer is c

50 points please help :(

Answers

[tex] \frac{(y - 1) {}^{2} }{9 } - \frac{( {x - 2)}^{2} }{100} = 1[/tex]

[tex] \frac{(y { - 1)}^{2} }{ {3}^{2} } - \frac{ {(x - 2)}^{2} }{ {100}^{2} } = 1[/tex]

[tex]( \frac{y - 1}{3} {)}^{2} - ( \frac{x - 2}{10 } {)}^{2} = 1[/tex]

Answer: 5  38 7

the reason is because add and multiply the check with division while also using radious

25 points+brainliest!

Answers

Answer:

an=10n+90, a10=190

Step-by-step explanation:

The difference is 10. We can use this to find the formula an=10n+90.

Then, but in 10 for n.

10*10+90

100+90

190

What is the answer to 8/10 x 5/2

Answers

Answer:

your answer is 2!

Step-by-step explanation:

you have to make it an improper fraction once you do you get 2!

brainliest please>

Answer:

2

Step-by-step explanation:

8/10 = 0.8

5/2 = 2.5

0.8 x 2.5 = 2

Which Baroque form was based on sacred texts?
O Prelude
O Opera
O Instrumental suite
O Oratorio

Answers

Mark me brainlyiest and the answer is b I know becuase I took the test

Answer:

It's oratorio

Step-by-step explanation:

Because i put in some research.

Can some one
help please I don’t understand this problem.
This is for regular Geometry.

Answers

This is the answer. Hope it helps

if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack of 30 ride tickets for $28.50 which pack is the better deal jumbo or medium now say sorry

Answers

the jumbo pack is a better price!

What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9

Answers

Answer:

100, 90, 10, 1

Step-by-step explanation:

Marcus expects to earn about $10,000 in sales per month.
He can choose Salary A of $1,500 plus 5.5% of sales which will make him $2050 each month.
Salary B offers $2400 plus 3% of sales. How much does Salary B offer Marcus each month?
Which salary option should he choose: A or B?

Answers

Answer:

A

Step-by-step explanation:

5.5 x 2050 = 11,275

im doing a review for my class I've blurred my name but im struggling getting to understand some of these

Answers

Wait wait wait wait ayee ayee wooooo

Which expression is equivalent to 16+ 2 ⋅ 36?

Answers

Answer:

88

Step-by-step explanation:

if you go by PEMDAS you would multiply 36 & 2 which is 72 then add 16 which gives you the answer 88 . Hope this helped!! :)

Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 32%

Answers

Answer:

selling price: $98.48

markdown price: $31.52

explination

find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price

Answer:

31$

Step-by-step explanation:

Question:
1. Write an equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1).
2. Write an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1).

Answers

Answer:

Explanation is written below.

Step-by-step explanation:

                                                1)

Given the line

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

We know that the parallel lines have equal slopes.

Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = -4 and the point (5, 1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y-1 = -4 (x - 5)

y-1 = -4x+20

y = -4x+20+1

y = -4x + 21

                                                    2)

Given the equation

[tex]y = -4x + 8[/tex]

Comparing with the slope-intercept form of the line equation

[tex]y=mx+b[/tex]    

Where m is the slope and b is the y-intercept

So, the slope of the line = m = -4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]  

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 1/4 and the point (5, 1)

[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]

Add 1 to both sides

[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]

[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]

find the greatest common factor of each set 15,20 ​

Answers

Answer:

5

Step-by-step explanation:

.......................

Please help timed :( 30points

Answers

The answer that u chose is right hope I’m not too late

2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x

Answers

Answer:

Correct choice: a. k = 13.5; xy = 13.5

Step-by-step explanation:

Inverse Proportion

Two variables x and y are in inverse proportion or variation if:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of proportionality

Since we know that y=4.5 when x=3:

[tex]\displaystyle 4.5=\frac{k}{3}[/tex]

Solving for k:

[tex]k = 4.5*3 = 13.5[/tex]

Thus the equation is:

[tex]\displaystyle y=\frac{13.5}{x}[/tex]

Or, equivalently:

[tex]xy = 13.5[/tex]

Correct choice: a. k = 13.5; xy = 13.5

ASAP Find the slope of The ordered pairs (0,-17),(2,13)

Answers

Answer:

m=15

Step-by-step explanation:

Answer:

1 5

Step-by-step explanation:

six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Leslie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?

Answers

Answer:

The pair that performs second are Orville and Nancy.

Step-by-step explanation:

Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly.  Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.

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Please help me with this
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Answers

it will help with everything better if you go on

I’m sorry I cannot help you because I need help with my homework first

CAN SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASE HELP MEEE

Answers

??????????????????? I do not understand I do not understand I do not understand

help its 50 percent of my grade

Answers

Answer:A=144 P=40

Step-by-step explanation:

Answer:

Area is [tex]96^{2}[/tex] feet

Perimeter is 40ft

For Christmas your boss gives you a $1,500 bonus. You were not expecting the money, so you decide you want to invest it. What kind of account be the best choice for you: Checking, Savings, Money Market or Certificate of Deposit? Explain your reason for your answer

Answers

Answer:

Savings

Step-by-step explanation:

I do my own banking that's why I know this

THE ANSWERS ARE WRONG. I need help finding the right answers for 30 pts. I will post an additional question after this for 30 points aswell.

Answers

Answer:

∠D = 60

∠E = 99; x = 4

x = 32

Step-by-step explanation:

First things first, the sum of angles in a quadrilateral is 360°.

∠D + 120 + 95 + 85 = 360

∠D = 360 - 120 - 95 - 85

∠D = 60

∠E + 86 + 100 + 75 = 360

∠E = 360 - 86 - 100 - 75

∠E = 99

24x + 3 = 99

24x = 99 - 3

      = 96

x = 96 ÷ 24

x = 4

89 + 5x - 8 + 51 + 3x + 4 = 360

7x + 136 = 360

7x = 360 - 136

    = 224

x = 224 ÷ 7

x = 32

does anyone have an answer?

Answers

Answer:

A

Step-by-step explanation:

square root(2) times square root(18)

is square root(36)

which is 6, a rational number

Answer:

Your answer would be A

√2 × √18

Step-by-step explanation:

√2 × √18 = 6

That's rational number

hope it helps!

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