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

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

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

Answers

Answer:

this question doesn't make sense

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.

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

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

Answers

Answer:

22

50

Step-by-step explanation:

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

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!

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

Answers

Answer:

1,-3

Step-by-step explanation:

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

which answer is correct

Answers

Answer:

The answer is b

Please help me give Brain

Answers

Answer:168

Step-by-step explanation:

1. Add: 85 + (-96) *


Help

Answers

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

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

Answers

Answer:

.69 is the answer to the question

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:

?

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:

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

Answers

Answer is: 10
See the workup in photo below.

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

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

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

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.

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.

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.

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

Answers

Answer:

85.72 is ur answer...

Hope it helps!!!

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

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

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:

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!

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

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