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

Please please please help *URGENT*

Answers

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

Right answers will get brainliest!

Answers

Answer:

42 = C (y ≤ 2)

43 = G (-x + 4x - 2)

44 = B (Its axis of symmetry is x = 14)

45 = H (x = 2)

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3​

Answers

Answer:

72cm

Step-by-step explanation:

The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.

It is required to find the volume of the right square pyramid.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the formula for finding the volume (V) of a right square pyramid is:

[tex]\rm V= a^2\times\frac{h}{3}[/tex]    Where a is the base side and h is the height of the right square pyramid.

[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]

[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]

And h = 6 cm, putting this value in the above volume formula, wet get:

[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]

Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

Learn more about the pyramid here:

https://brainly.com/question/1260835

Can someone pls help im new to this

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

An account earns simple interest. Find the missing value.
Interest Earned: $45
Principal: ?
Interest rate: 3%
Time: 2 years.​

Answers

Answer:

2.7

Step-by-step explanation:

SI = (P*T*R)/100

P = 45$

R = 3 percent

T = 2 years

Now,

SI = (P*T*R)/100

= (45*2*3)/100

= 2.7$

Which equation represents a line that is parallel to the line represented by

4x + y = 7 and passes through the point (1, 8)?

Answers

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

1. Find the present value of an investment that is worth $19,513.75 after

earning 3% simple interest for 5 & 1/2 (5.5) years.

2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

1) To get the present value, we need to get the amount after 5.5years

Amount = Principal + Interest

Interest = PRT/100

Interest = $19,513.75*3*5.5/100

Interest = 321,976.875/100

Interest =  $3219.76875

Amount = $19,513.75+$3219.76875

Amount = 22,733.51875

Hence the present value is $22,733.51875

2) Simple Interest = PRT/100

Simple Interest = 5000*(4 3/4)* 18/12*100

Simple interest = 5 * 19 * 18/4*12

Simple interest = 1710/48

Simple interest =35.625

Amount = 5000 + 35.625

Amount = $5035.625

Hence the present value is $5035.625

Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).

Answers

Answer: 3.4

Step-by-step explanation:

7.2 - 3.8

The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

What is the trigonometry function?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.

It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Here given that,

In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].

So,

[tex]7.2 - 3.8=3.4[/tex]

So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

To know more about the trigonometric function

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You roll a die 10 times. Find the probabilities for how many times it will land on six. Write yiur answers in decimal form to 8 places.
P(0)= ____
P(1)= ____
P(2)= ____
P(3)= ____
P(4)= ____
P(5)= ____
P(6)= ____
P(7)= ____
P(8)= ____
P(9)= ____
P(10)= ____
What is the most likely number of times out of 10 rolls that the die will land on six? ____​

Answers

Answer:

dont mind me

Step-by-step explanation:

My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$

Answers

$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900

I RLY NEED HELP LIKE RN

Answers

Answer:

B = (19)(14)

Step-by-step explanation:

Michelle has four large storage chests in her basement. each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?

Answers

If the base has an area of 8, and we’re dealing in whole numbers, then the dimensions of three of the chests are 2x2x4. The last one is 2x3x4. Just multiply the dimensions by each other to find the volume of one unit, and then add them all together. Hope that helps!

an airplane travels at 280 miles per hour. how far in miles will the airplane travel in 20 minutes?

Answers

Answer:

93.33 miles

Step-by-step explanation:

60 min/ 20 min = 3

280/3 = 93.333333

Answer:

93.3 miles

Step-by-step explanation:

Since there are 60 minutes in an hour and 20/60 = 1/3, you can divide 280 by 3 to get the amount of miles travelled in 20 minutes.

please help asap!


A scatter plot is shown:

What type of association does the graph show between x and y? (4 points)

a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association

Answers

Answer:

A

Step-by-step explanation:

the dots form a line going upwards from the origin in a positive way (quadrant 1)

Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answers

Answer:

The area is "[tex]\bold{\frac{1}{6}}[/tex]".

Step-by-step explanation:

In this question, to understand the problem we use the model, that  Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.

Calculating the area of the one-piece:

[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]

What is radiant energy from the sun called

Answers

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

Answer:

Ultraviolent radient energy

Is 75 divisible by 3?

Answers

Answer: yes

Step-by-step explanation:

Yeah
The answer is 25

Pls I need help and do not post that link thank you

Answers

Bottom right :):):):)

Answer:

4 the one

hope 5hid will you

Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB

Answers

Answer:

Step-by-step explanation:

Slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in A(8,3) and B(4,8)

[tex]=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}[/tex]

Therefore, the slope of AB is [tex]-\frac{5}{4}[/tex].

I hope this helps!

.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3

Answers

Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

heyyyyyyyyyyyy helpppp

Answers

Answer:

its b

Step-by-step explanation:

Answer: the answer B sorry if its wrong

Step-by-step explanation: have a nice day buddy

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:

Answers

Answer:

Slope: 10

Y-intercept= 30

Step-by-step explanation:

y= mx + b

m = slope

b = y-intercept

y= 10x + 30

Slope: 10

Y-intercept= 30

(Someone Help Please)

Which equation is true when q = 1/2?
A. 10q − 1/2= 4 1/2
B. 15 1/2 − 8q= 3 3/4
C. 20q + q + 2 1/2=12 1/2
D. 25 1/2 + 6q - q = 28 1/2

Answers

Answer:irl

Step-by-step explanation:

Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?

Answers

Answer:

wef

Step-by-step explanation:

wef

help i’ll give brainliest if you give a correct answer

Answers

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

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800 divided by 12. help me pls

Answers

Answer:

Helloooo

ur answer is

66.6666666667

Step-by-step explanation:

thanks.....hope it helps

WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A four pack of batteries costs $3.45. A six pack of batteries costs $4.80. Which is a better deal? Unit price.

Answers

Answer:

6 for $4.80

Step-by-step explanation:

3.45 / 4 = unit rate of $0.8625

4.80 / 6 = unit rate of $0.80

Hlp meeee (convert the improper fraction to a mixed number

Answers

Answer:

2 2/5

Step-by-step explanation:

It is because the 2 wholes and 2/5

Answer:

2 and 2/5

Step-by-step explanation:

Because the first two pies are completely shaded giving us the 2 whole. And the third pie has two parts shaded out of the five parts giving us the 2/5.

Now you put them together: 2 and 2/5.

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