A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?

Answers

Answer 1

9514 1404 393

Answer:

$1000$600$250

Step-by-step explanation:

Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...

  t +(2t+500) +(2t+100) = 1850

  5t +600 = 1850

  5t = 1250

  t = 250 . . . . . . . . . . . third place prize

  2t +500 = 1000 . . . . first place prize

  1000 -400 = 600 . . .second place prize

The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.


Related Questions

Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Given:

Total paint used = 7.9 pints

Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.

The remaining paint is white.

To find:

The amount of white paint.

Solution:

Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.

[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]

[tex]\text{Blue paint}=3.16[/tex]

Now,

[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]

[tex]\text{White paint}=7.9-3.16[/tex]

[tex]\text{White paint}=4.74[/tex]

Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.

Please help me give Brain

Answers

Answer:168

Step-by-step explanation:

a.Write a polynomial to find the volume of the
rectangular prism.
b.Find the volume if x =12 feet.

Answers

Answer:

hmmm 38

Step-by-step explanation:

?

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

If y varies directly as x, if y = 8 when x = 4, find y when x = 48

Answers

y=96 see explanation in attached photo

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

For each ordered pair determine whether it’s a solution to 5x plus 2y = -1

Answers

Answer:

1,-3

Step-by-step explanation:

Which of the following expresses 2.444 as a fraction in simplest form?

A. 2 1/4
B. 2 2/5
C. 2 11/25
D. 2 4/9

Answers

Answer: C. 2 11/25

Step-by-step explanation:

What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

m= ( y2-y1)/(x2-x1)

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

what is 2,829 divided by 33
i realy need help with this

Answers

Answer:

85.72 is ur answer...

Hope it helps!!!

which answer is correct

Answers

Answer:

The answer is b

1. Add: 85 + (-96) *


Help

Answers

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?​

Answers

Answer:

1,187.50

Step-by-step explanation:

Answer:

Step-by-step expiation

we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3

2.5% = 0.025

0.025 x 3 = 0.075

Then we will multiple the tax rate by our principal,

52,000 x 0.075 = 3,900

52,000 - 3,900 = 48,100

This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.

Find the value of x. Write your answer in simplest form.

Answers

Answer is: 10
See the workup in photo below.

PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1

Answers

Answer:

22

50

Step-by-step explanation:

Translate til
Eight times the sum of a number and 3 is equal to 5.
Use the variable w for the unknown number.

Answers

Answer:

8(w+3) = 5

Step-by-step explanation:

A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answers

Answer:

4

Step-by-step explanation:

use the formula to get the answer but i got 785.71.

if your smart what is 1 + 1= ?​

Answers

One plus one equals two

1 + 1 = 2

Answer:

1+1=2

easy

plz mark as brainliest

2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?

Answers

x+(x+1)=425
2x+1=425
2x=424
x=212

Therefore, Brian is on page 212.

what is the degree of angle YQR​

Answers

Answer: Angle is 3

Step-by-step explanation:

16x - 27 = 5x + 6

-5x           -5x

______________

11x - 27 = 6

     + 27 +27

___________

11x = 33

__    __

11      11

x = 3

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again

Answers

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

What is the following sum of 3/10 + 39/100

Answers

Answer:

.69 is the answer to the question

Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. ​What was the total amount of gasoline Michael used?

Answers

Answer:

11/40 of a gallon

Step-by-step explanation:

The amount of gasoline in the tank of lawn mower = 3/8 of a gallon

Then he put the amount of gasoline in the tank = 4/10 of a gallon

The total amount of gasoline filled in the tank = 3/8 + 4/10

= 3/8 + 2/5

= 15+16/40

= 31/40

The total amount of gasoline filled in the tank = 31/40

The amount of gasoline left in the tank after mowing = 2/4

Total amount of gasoline Michael used = 31/40 - 2/4

= 31-20/40

= 11/40 of a gallon

Alternatively, you can follow this method:

Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)

= 3/8 + (2/5 - 2/4)

= 3/8 + ( 8-10/20)

= 3/8 + (-2/20)

= 3/8 + (-1/10)

= 3/8 - 1/10

= 30-8/80

= 22/80

= 11/40 of a gallon

Total amount of gasoline Michael used = 11/40 of a gallon

what's
[tex]12 + 24 \div 6[/tex]

Answers

12+24=36
36 divide by 6 is 6
12+24 divided by 6 is 6

4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.

Answers

Answer:

15n = 330

Value of n(number of lawns) = 22

Step-by-step explanation:

She has already saved $85 which means the amount of money she needs left will be

=$415 - $85

= $330

Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.

15n = 330

To go further, divide both sides by 15 to get the number of lawns she has to mow.

[tex]\frac{15n}{15} =\frac{330}{15}[/tex]

n = 22

∴ She needs to mow 22 lawns to get the amount of money she needs.

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

The probability distribution for a random variable x is given in the table Find the probability that X<=20

Answers

probability for X<=20 is 1

what is probability?

the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.

probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).

Learn more about probability here

https://brainly.com/question/24756209

#SPJ2

What is the equation for nth term of the geometric sequence-2,8,-32,...?

Answers

Answer:

The last one

Step-by-step explanation:

each following number in the sequence is multiplied by -4, and the first number is -2!

This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.

Answers

Answer:

[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
Other Questions
Rose and Joel's children recently moved out to live independently. The couple has been missing their kids and is experiencing the empty-nest syndrome. Which TWO strategies will help them deal with their loneliness? -pursuing a hobby -joining an activity club with like-minded people -calling their children regularly -visiting their children frequently -convincing their children to move in back home with them were the Crusaders motivated by God or gold Helpppp!how can you apply the idea of homeostasis to the movie osmosis jones Where does the graph of y = 4x + 24 intersect the x-axis? doce seoritas todas con medias y sin zapatos quien es? The Yellow Sea borders all of the following countries EXCEPT A. China B. Vietnam 47 C. North Korea D. South Korea write the following number in standard form plezz 7.6 x 10^3 On her first day of college, Ria decided to specialize in two subjects: philosophy and mathematics. Students in both fields were intimidating; they acted like they were already mathematicians and philosophers, even though they were just freshmen. However, most of the students dropped out over the years while Ria studied hard, graduated with honors, and become a well-known scholar in the philosophy of mathematics Which statement is most clearly a theme in this story?A. Mathematics is a universal language. B. Philosophy is the best career path. C. An identity must be earned, not chosen.D. People should be true to their dreams. Which of the following claims best aligns with the evidence in the excerpt about the relationship between enslaved African Americans and White Southern citizens?A majority of White citizens held slaves; therefore, they felt obligated to ensure the preservation of slavery.A majority of White citizens held slaves; therefore, they felt obligated to ensure the preservation of slavery.AThe attitudes of White citizens regarding the motives of slave rebellions differed by region within the South.The attitudes of White citizens regarding the motives of slave rebellions differed by region within the South.BA majority of poor White citizens benefited economically from having enslaved African Americans do the manual labor that White citizens did not want to do.A majority of poor White citizens benefited economically from having enslaved African Americans do the manual labor that White citizens did not want to do.CThe slave system gave poor White citizens the feeling of social superiority over free and enslaved African Americans in a culture where African Americans held little power. Find the vertex of the parabola y=2x^2+10x+8 What is the term for the reelection system in the senate where only one-third of the senators every twoyears?a. Continuous bodyb. Generalc. Primaryd. Runoff14. How many terms can the members of Congress have?a. 2b. 4c. 6d. No limitations15. When do the sessions for Congress begin?a. January 3rdb. January 21stc. November 3rdd. November 21stPowers of Congress16. Which house of Congress do revenue bills start?a. House of Representativesb. Senatec. Presidentd. Supreme Court17. Which house of Congress chooses the President and Vice President if there is no majority in theElectoral College?a. House of Representativesb. Senatec. Presidentd. Supreme Court18. Which house of Congress confirms or rejects presidential appointments?a. House of Representativesb. Senatec. Presidentd. Supreme Court19. Which house of Congress ratifies treaties?a. House of Representativesb. Senatec. Presidentd. Supreme Court20. What is the term for the right to appear before a judge after arrest?a. Habeas corpusb. Bill of attainderc. Ex post factod. Right to Trial21. What is the term for being found guilty without a trial?a. Habeas corpusb. Bill of attainderc. Ex post factod. Due Process22. What is the term for being arrested for doing something that was legal when you did it?a. Habeas corpusb. Bill of attainderc. Ex post factod. Due ProcessSSCG 8abcdefg 9Bill to LawComplete the list about the Legislative Process23. _________________________________Committee meets to discuss, amend, and vote on bill24. _________________________________Bill sent to SenateSenate completes steps 1-325. _________________________________26. _________________________________Presidential Actiona. Conference Committee reconcilesand differencesb. Floor Action: full House debates,amends, and votes on billc. Both chambers vote on the final billd. Bill is Introduced in the House27. What form of presidential action (when deciding on a bill) involves the president rejecting the bill andreturning it to Congress with an explanation.a. No Actionb. Approve and passc. Pocket Vetod. Veto28. What form of presidential action (when deciding on a bill) involves the president to do nothing whileCongress is in session for 10 days, automatically making the bill law.a. No Actionb. Approve and passc. Pocket Vetod. Veto29. What form of presidential action (when deciding on a bill) involves the president to do nothing whileCongress is out of session for 10 days, automatically rejecting the bill.a. No Actionb. Approve and passc. Pocket Vetod. VetoOrganization of Congress30. Which position is the most important member of the House of Representatives?a. Majority Leaderb. President Pro-Temporec. Speaker of the Housed. Vice President31. Whose job is it to break ties in the Senate?a. Majority Leaderb. President Pro-Temporec. Speaker of the Housed. Vice President32. They iron out differences between two versions of a bill.a. Joint Committeeb. Standing Committeec. Select Committeed. Conference CommitteeLobbying/Interest Groups33. Represents the special interests of the group they work for and puts pressure on the legislative processand legislators.a. Whipsb. Interest Groupc. Leadersd. LobbyistsSSCG 8abcdefg 934. What is a positive of lobbying?a. Lobbyists serve as a link between government and the peopleb. Lobbyists who have the most money can get what they wantc. Lobbyists work for several interest groupsd. Lobbyists are volunteers.35. What is a negative of lobbying?a. Lobbyists serve as a link between government and the peopleb. Lobbyists who have the most money can get what they wantc. Lobbyists work for several interest groupsd. Lobbyists are volunteers.Impeachment Process36. Which house of Congress does the impeachment process begin?a. House of Representativesb. Senatec. Executive Branchd. Supreme Court37. Which house of Congress holds the impeachment trial?a. House of Representativesb. Senatec. Executive Branchd. Supreme Court38. Who presides over an impeachment trial?a. All the justices of the Supreme Courtb. Speaker of the Housec. President Pro-Tempored. Chief Justice39. What is impeachment?a. Removal of an official from office.b. Charges are formally brought against an officialc. Criminal charges brought against any citizen40. True or False: The President remains in office during an impeachment trial.a. True b. False ased on the segment income statement below, Chips, Inc. is considering eliminating its Barbecue Division line. Revenue from Barbecue Division sales $ 528,000 Salaries for Barbecue Division workers (128,000 ) Direct material (342,000 ) Sunk costs (equipment depreciation) (82,000 ) Allocated company-wide facility-sustaining costs (64,000 ) Net loss $ (88,000 ) If the Division is eliminated, what is the total amount of avoidable cost? En una planta de energa, se produce CO2 gracias a la reaccin de combustin del material orgnico con oxgeno para producir CO2, SO2, SO3, NO, NO2 y H2O que son los causantes del efecto invernadero, el SO2 reacciona con H2O para formar H2SO3, causante de la lluvia cida. En condiciones de gas ideal el SO2 se encuentra a una temperatura de 100C y 0,5 atm de presin, el volumen ocupado generalmente es de 25 L. 5. La ecuacin para hallar el nmero de moles debe ser: a. Gases ideales: relacin entre todas las variables que influyen sobre los gases b. Boyle: relacin entre volumen y presin c. Charles: relacin entre el volumen y la temperatura d. Gay Lussac: relacin entre la presin y la temperatura Does the mapping diagram represent a function? Why or why not?y-6102 an angle measures 176 degrees more than the measure of its supplementary angle. what is the measure of each angle What is the linear function rule for the ordered pairs shown below:X Y0 4-3 -5Y = _ X+ _Fill in the blanks ty!!! PLEASE HELP 15 POINTSFind m RSS(6x-28)(4x+ 20) Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.a) How much is the car worth now?b) How much did the cardecrease in value? A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggles measures 2 feet 10 inches long. Which snake is longer, and by how much? Complete the table of equivalent ratios.351092025