The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture, a painting, and a photograph. The
selling price of the painting was $50.5 million more than that of the photograph. Together, the painting and the photograph sold for $17.1 million more than the
sculpture. What was the selling price of each work?

Answers

Answer 1

Answer:

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Step-by-step explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8

Answer 2
Price of painting =55.7+50.5=106.2
Price of sculpture =2(55.7)+33.4=144.8

Related Questions

A police officer investigating a car accident finds a skid mark of 115 ft in length.

How fast was the car going when the driver hit the brakes?
Round your answer to the nearest mile per hour.

mph

Answers

Answer:

Speed of car = 49 mph (Approx.)

Step-by-step explanation:

Given:

Length of skid marked = 115 ft

Formula for skid mark = S = √21d

Where d = Length of skid marked

Find:

Speed of car

Computation:

Speed of car = √21d

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426

Speed of car = 49 mph (Approx.)

PLEASE HELP!! URGENT

Answers

Answer:

y=105

Step-by-step explanation:

82+75+x=180

157+x=180

x=23

82+23=y

105=y

How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.

Answers

Answer:

85

Step-by-step explanation:

Given that :

Mean height , μ = 166

Standard deviation, σ = 8

Sample size, n = 1000

Using the Zscore formula :

Zscore = (x - μ) / σ

x = 177

Z = (177 - 166) / 8

Z = 1.375

P(Z > 1.375) = 0.084566(Area to the right of Z)

P(Z > 1.375) * n

0.084566 * 1000 = 84.566 = 85 soldiers

A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady rate. Yearly carrying costs (to be computed on the average number of cases in stock during the year) are $10 per case, and the cost of placing an order with the manufacturer is $45. Determine the economic order quantity, that is, the order quantity that minimizes the inventory cost.

Answers

The economic order quantity is 300 cases of tennis balls.

The economic order quantity (EOQ) is the minimum quantity that the distributor can order per order to minimize inventory costs.

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 cases of tennis balls

This implies that the distributor will place about 33 orders (10,000/300) in the coming year.  With each order, the quantity placed is 300 units.

Thus, the economic order quantity that will minimize the California distributor's inventory costs for the year is 300 cases of tennis balls.

Learn more about economic order quantity here: https://brainly.com/question/9068415

Hello people can you please help me on this I've been stuck on it for like 30 minuets now

Answers

Answer:

Step 1:  Complete the first equation

0.01 is a hundredth, therefore if we have 1.86 then we have 186 hundredths.

Step 2:  Complete the second equation

1.86 / 2 = 0.93

0.01 is a hundredth, therefore if we have 0.93 then we have 93 hundredths.

Step 3:  Complete the third equation

1.86 / 2 = 0.93

A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.

Answers

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

What is percentage?

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

To learn more about percentage refer to:

https://brainly.com/question/843074

#SPJ2

List the sides of the triangle in order from largest to smallest.

Answers

translate it to english

How far apart are the 2 cities? See picture.
Show steps

Answers

9514 1404 393

Answer:

  373 miles

Step-by-step explanation:

The difference in latitude is ...

  39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

  s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

  s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

what is a cell and why it is necessary​

Answers

CELL

Cells are the basic building blocks of living things. The human body is composed of trillions of cells, all with their own specialised function. Cells are the basic structures of all living organisms.

IMPORTANCE

Cells provide structure for the body, take in nutrients from food and carry out important functions.

I HOPE THIS WILL HELP YOU IF NOT THEN SORRY

HAVE A GREAT DAY :)

Find two numbers nearest to 8888888 which are exactly divisible by 2915 explain step by step​

Answers

Answer: 88,87,835 and 88,90,750.
Step-by-step explanation: 88,87,835 =2915*3049 , 8890750 = 2915*3050.

a bus carry 53 passengar on a trif. how many passenger can 9 such carry if each dose 2 trif

Answers

Answer:

954 passengers

Step-by-step explanation:

(Assuming I read the question correctly)

1 bus can carry in 1 trip = 53 passengers

1 bus can carry in 2 trips : 106 passsengers

9 busses can carry in 2 trips = 106 x 9 = 954

Answred by Gauthmath

we make a sequence of figures with tiles. The first four figures have 1,4,7 and 10 tiles, respectively. How many tiles will the 15th figure have?

Answers

Answer:

43

Step-by-step explanation:

1 , 4 , 7 , 10

→ Find the difference between each term

4 - 1 = 3, 7 - 4 = 3 and 10 - 7 = 3

→ Put this into the nth term format

3n + x

→ Write the 3 times tables above the sequence and find what you need to take away from the times tables to get to the sequence

3 , 6 , 9 , 12

1 , 4 , 7 , 10

→ Minus 2

3n - 2

→ Substitute 15 as n

3 × 15 - 2 = 43

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050 ​

Answers

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

[tex]y = x( \frac{z {}^{1} + {z}^{n} }{2} )[/tex]

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

[tex]y = 20( \frac{5 + 100}{2} )[/tex]

[tex]y = 20( \frac{105}{2} )[/tex]

[tex]y = 1050[/tex]

A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answers

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

Rules for multiplying exponents

Answers

Answer and Step-by-step explanation:

When multiplying exponents:

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

Example: [tex]a^x + a^y = a^{x+y}[/tex]

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

Example: [tex]a^x*b^x = (a*b)^x[/tex]

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

Example: [tex]\frac{a^x}{a^y}= a^{x-y}[/tex]

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

Example: [tex](a^x)^y = a^{x*y}[/tex]

- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.

Example: [tex](ab)^x = a^x*b^x[/tex]

- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.

Example: [tex](\frac{a}{b} )^x = \frac{a^x}{b^x}[/tex]

- Zero Power: Any number raised to the 0 power equals 1.

Example: [tex]a^0 = 1\\999999^0=1[/tex]

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).

Example: [tex]a^-2 = \frac{1}{a^2} \\\\\frac{1}{b^-3} = b^3[/tex]

- Power of One: Any number raised to the power of 1 is the same number.

Example: [tex]a^1 = a\\\\999^1 = 999[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

Use the matrix tool to solve the system of equations choose the correct ordered pair -5x+6y=-3 6x-6y=12

Answers

Answer:

Hello,

x=9

y=7

Step-by-step explanation:

[tex]A*U=B\\\\\begin{bmatrix}-5&6\\6&6\\\end{bmatrix}*\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3\\12 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}1&1\\1&\dfrac{5}{6}\\\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\\\U=\begin{bmatrix}9\\7 \end{bmatrix}\\[/tex]

The Demand function for a product is given by:

D(q) = - 0.0003q^2 - 0.04q + 23.56

where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?

Answers

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]

What is the average rate of change of Demand between 40 and 175 units sold?

[tex]a = 40, b = 175[/tex]. So

[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]

[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]

So

[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Write as an algebraic expression: *20% of 75% of y

Answers

Answer:

0.15y

Step-by-step explanation:

0.2*0.75*y = 0.15y

Can somebody help me find the answer to this problem please ?

Answers

Answer:

Step-by-step explanation:

Answer:

D. x = -2y + 4

Step-by-step explanation:

4x + 8y = 16

Solve for x

Our objective here is to isolate x ( in other words we want to get x by itself ) using inverse operations.

So let's begin

4x + 8y = 16

First we want to get rid of 8y

Notice how 8y is being added to 4x

Well we can get rid of it by applying it's inverse operation. The opposite of addition is subtraction. So to get rid of 8y we would simply subtract 8y.

Important note! Whatever we do to one side we must do to the other

So we would subtract 8y from both sides

4x + 8y - 8y = 16 - 8y

The 8y on the left hand side cancels out and the 8y on the right side stays as it is as you can't subtract 8y from 16

We then have 4x = 16 - 8y

Next we want to get rid of 4 from 4x.

4x is the same as 4*x which is multiplication

The inverse of multiplication is division so to get rid of the 4 we divide both sides by 4

4x/4 = (16-8y)/4

4x/4 = x

16-8y/4 ( simply divide 16 by 4 and -8y by 4 )

16-8y/4 = 4 - 2y

We're left with x = 4 - 2y which can also be written as x = -2y + 4

Find the value of x round to the nearest tenth.

Answers

9514 1404 393

Answer:

  117.9°

Step-by-step explanation:

Solving the Law of Cosines equation for C, we get ...

  C = arccos((a² +b² -c²)/(2ab))

Filling in the values from the figure, we find the angle X to be ...

  X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))

  X = arccos(-2575/5500) ≈ 117.9°

ILL GIVE BRAINLIEST

Combine like terms.
4x – 7y + 2x – 4 = [ ? ]x + [ ]y + [ ]

Answers

Answer:

[6x] + [-7y] + [-4]

Step-by-step explanation:

There are only two like terms in this expression "4x" and "2x." Since they are like terms we can combine them by adding the coefficients and keeping the variable attached. Therefore we can combine 4x and 2x into 6x. Since there are no more like terms, this expression can be simplified to 6x - 7y - 4.

Answer:

6x - 7y - 4

Step-by-step explanation:

4x - 7y + 2x - 4

Combine like terms (by either subtracting or adding a number with the same variable)

4x + 2x = 6x

Thus, only one like term so the final answer is

6x - 7y - 4

The two countries with the highest cocoa production are the
Ivory Coast and Ghana. The Ivory Coast produces three times the amount of cocoa
produced in Ghana. (Source: International Cocoa Organization) Express the
amount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana.

Answers

Answer:

38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.

Step-by-step explanation:

What is the inverse of the function g (x) = 5 (x - 2)

Answers

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

Simplify expression 1 1/2

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Find the value of x to the nearest tenth of a degree.
20.4
21.8
42.9
68.2

Answers

Answer:

Answer is 20.4 .........

The answer is 20.4 because i also got it right

A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
N
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6 0.7257
0.7291
0.7324
0.7357
0.7389 0.7422
0.7454
0.7486
0.7517
0.7549
0.7 0.7580
0.7611
0.76420.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133

Answers

I am sorry, I am so confused
I wish I could help

If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle

Answers

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

what is the value of tan 0 in the unit circle below? (square root3/2,1/2)

Answers

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

Two sides of a triangle are 24 inches in length, what is the length of the third side

Answers

The answer should be 24 inches
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