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

can you help me answer this?

Answers

The answer is C i think.

Find the measure of unlabeled angle in the quadrilateral

Answers

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

[tex]60 + 55 + 105 + x = 360[/tex]

[tex]220 + x = 360[/tex]

[tex]x = 140[/tex]

When Emily arrives from school she spent a minute eating a snack then she spent 15 playing with her dog and 32 doing her chores

Answers

The question is incomplete:

When Emily arrived home from school she spent a minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 doing her chores . Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished?

Answer:

Emily had been home for 1 hour and 33 minutes.

Step-by-step explanation:

In order to find the answer, first you have to add up the time she spent in each activity to find the amount of minutes she had been at home when she finished:

1+15+32+45=93

Now, you can express the 93 minutes in hours considering that one hour has 60 minutes. According to this, Emily had been home for 1 hour and 33 minutes (93-60=33).

A 27 meter piece is of string stretched the top of 25 meter flagpole to the ground.How far is the base of the flagpole from the end of the piece of string?

Answers

Answer:

base = 10.2 meters

Step-by-step explanation:

using the Pythagorean theorem:

base² = 27² - 25² = = 729 - 625 = 104

base = 10.2 meters

Can some one plz help me

Answers

Answer:

A is the answer

Step-by-step explanation:

6 times 3.14 is 18.84

Given,

Diameter of circle = 6 in.

As we know that radius is half of diameter.

Radius = 6 × 1/2 = 3 inches

Now,

[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]

[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]

[tex] = \dfrac{44}{7} \times 3[/tex]

[tex] = \dfrac{132}{7} [/tex]

[tex] = 18.84\: in.[/tex]

Hence,option ( a ) is correct.

Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?

Answers

Answer:

4/5

Step-by-step explanation:

28/35=4/5 You simply put the number he got over the original then simplify.

Please Help! Evaluate this expression 10.82-9.99

A. 0.53

B. 0.83

C. 1.01

D. 1.23

Answers

0.53 hope that helps!!

Solve by elimination
-2x+5y=-1
3x+2y=11

Answers

Answer:

x=3, y=1

Point Form is

(3,1)

Step-by-step explanation:

If a scale uses 2 cm to represent 6 ft., how many centimeters will be used to represent 21 ft.?

Answers

Answer: 7 cm

Step-by-step explanation:

2=6

4=12

6=18

8=24

7=21

3. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?

Answers

Answer:

. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount

in taxes to the government. How much did Ms. Basalyga pay in taxes?

13.5/100×2000=270

Answer: Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount in taxes to the government. How much did Ms. Basalyga pay in taxes?

:13.5/100×2000=270

Step-by-step explanation

what problem can be solved using 3/5 divided by 5/8

Answers

Answer: 24/25

Step-by-step explanation:

= 3/5 ÷ 5/8

= 3/5 × 8/5

= 24/25

what is 1257÷45 I really need help​

Answers

Exact Form:

419/15

Decimal Form:

27.93...

Mixed Number Form:

27  14/15

Hope this helps(:

Brainliest for the correct answers

Answers

Answer:

a) 3a + 8b = 93

Hope this helps!

Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?​

Answers

Answer:

your answer will be Option B. 28.3 ft

Step-by-step explanation:

[tex] \sqrt{15 ^{2} } + 24 ^{2} = 28.3[/tex] or

hope it helps you...

have a great day!!

The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.

We need to find the length of the walkway.

Using Pythagoras Theorem;

[tex]15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30[/tex]

Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

m + 2 + 5mz when m= 4 and y= 10
Show your work ty

Answers

Answer:

206

Step-by-step explanation:

replace:

M(4) + 2 +5M(4)Z(10)

4 + 2 + 5(40)

4 + 2 + 200 =

206

What does S in Math means?

Answers

Step-by-step explanation:

subtract

i think this

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10

Answers

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

Please help fast! will mark brainliest and give a lot of points

put the following expressions into words-no solving.

3/4x(6+4)

1/2x(5-3 1/2)

Put the following into expressions-no solving

One-third the sum of 6 and 3

Four times the quotient of 3 and 4

One fourth the difference between 3 1/2 and 1/2

Answers

Answer:

Please help fast! will mark brainliest and give a lot of points

The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.

Answers

Answer:

3x+4x+5x=36

12x=36

x=36/12

x=3

3x=3 into 3=9

4x=4 into 3=12

5x=5 into 3=15

1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT

Answers

Answer:

Pentagon and I think the area is 19.89 so if you round it, that will be 19.9

h+37=1

Whats the answer of H?

Answers

Answer:

h = -36

Step-by-step explanation:

-36 + 37 = 1 can be rewritten as 37 - 36 = 1. Since both equations are true, we have found the answer and checked it.

-36 is your answer.

Hope this helps. Have a nice day.

h= -36 is the answer

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

circle has diameter 10. What's the area?
a
50π
b
20π
c
100π
d
25π

Answers

Answer:

D) 25π

Step-by-step explanation:

Area of a circle formula:

A = πr²

r = d/2 = 5

Work:

A = πr²

A = π5²

A = 25π

There are 8 red, 4 green and 12 yellow balls in a box. If you choose one ball from the box, what is the probability that it will be a yellow ball?

Answers

Answer:

50% percent chance the ball will be yellow

Step-by-step explanation:

Find the amount of all the balls-24 and the amount of yellow balls-12

Then divide the number of yellow balls by the number of total balls.

12÷24=0.5

0.5=50%

how do you write the equation of a line in slope intercept form looking at a table?​

Answers

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug m into [tex]y=mx+b[/tex] .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.

I hope this helps!

A line has slope = 0 and goes through the point (1, 6). What is the equation of the line in slope-intercept form?

a) y = 1
b) y = 6
c) x = 1
d) x = 6

Answers

Your answer would be d x=6

Answer:

y = 6.

Step- by-step explanation:

A slope of 0 means that the line is horizontal and  would be of the form y = k.

As is pass through  the points where y = 6 ( 1, 6) :-  it is y = 6.

Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?

Answers

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now

Answers

Answer:

Total students = 460+320+165=945

Key stage 3 ... asafraction = 460 divide by 945

the number in a sample of 100 = 460 divide by 945 x 100= 48.67

So 48 or 49 (are both, acceptable answers).

URGENT: Find the value of X

Answers

Answer:

72x

Step-by-step explanation:

Calculate the simple interest collected by the bank if $1,500 is loaned for 3 years at 8% per annum

Answers

Answer:

$1500 divided by3=500

500+8=508

Answer:

$360

Step-by-step explanation:

I=PTR      =1500X3X8  = 36,000= $360

  100            100              100

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