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

which of the following expressions are equivalent to 36x + 24y? choose all that apply

6x (6+4y) 6(6x + 4y) 12(36x + 24y) 12(3x + 2y) 4y(9x + 6) 4(9x + 6y)

Answers

The following expressions are equivalent to 36x + 24y is 6(6x+4y).

6x(6+4y)

6(6x+4y)

12(3x+2y)

4(9x+6y)

We have,

What is the expression?

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables

36x + 24y

=6(6x)+6(4y)

=6(6x+4y)

Therefore, The following expressions are equivalent to 36x + 24y is 6(6x+4y).

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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

-5.8 ft
-6.3 ft
-27.5 ft
-69.1 ft

Answers

9514 1404 393

Answer:

  69.1 ft

Step-by-step explanation:

The diameter of the circle is 24 ft. The length of the arc is more than twice the diameter, so cannot be less than about 50 ft. The only reasonable choice is ...

  69.1 ft

__

The circumference of the circle is ...

  C = 2πr = 2(3.14)(12 ft) = 75.36 ft

The arc length of interest is 330° of the 360° circle, so is 330/360 = 11/12 times the circumference.

  s = (11/12)(75.36 ft) = 69.08 ft ≈ 69.1 ft

Answer:D

Step-by-step explanation:

A certain positive integer has exactly 20 positive divisors.

What is the largest number of primes that could divide the integer?

thx for the help in advance

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...

  n = p·q·r^4

_____

For some prime factorization ...

  [tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]

The total number of divisors of n is ...

  [tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]

What is the volume of the pyramid shown below?

Answers

Answer:

B is the answer of this question

Step-by-step explanation:

144 cu. units

432 cu. units is the answer

An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and
b?
a=
b =

Answers

Answers:

a = 2

b = 3

=======================================================

Explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x

Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?

Answers

Answer:

it is important because the number of people who are infected by the disease is rising

A group of high school students were surveyed about their handedness and their favorite sport. The results are displayed below.



Which of the following statements is not true, according to the graph?

The left-handed group has a higher percentage of people who prefer baseball.
The right-handed group has a lower percentage of people who prefer basketball.
The percentage of people who prefer soccer has a lower percentage in the left-handed group.
The percentage of people who prefer football is approximately the same for the right- and left-handed groups.

Answers

Answer:

The percentage of people who prefer football is approximately the same for the right- and left-handed groups.

Step-by-step explanation:

The bar for the right-handed group representing soccer is between 10% and 20% (below 20%) while the bar for the left-handed group representing soccer is at 20%.

Percentage of left-handed group of people who prefer soccer is higher than the right-handed group who prefer soccer. Therefore, they don't have the same percentage.

Answer:

D

Step-by-step explanation:

;)

Charlotte has to read a book for school. There are 513 pages in the book. She read 113 pages on
Saturday, she read 78 pages on Sunday, and 101 pages on Monday. How many pages does Charlotte
have left to read?




A.221 pages
B.513 pages
C.292 pages
D.400 pages

Answers

the answer is A. 221 pages.

WILL GIVE BRAINLISTAnother copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.

Answers

f(x)= 8(b)^x
f(1)=8(b)^1
4/8=b
1/2=b

f(1)=4
a is initial value/ y intercept which is 8.

f(x)=8(1/2)^x

Answer:

f(x)=8 (0.5)^x

Step-by-step explanation:

Answer from plato

Madison represented the sentence "The product of 3 and the difference of and the quotient of a number and is at most 5" by using the inequality . Which best describes Madison’s error?a) The difference of –4 and the quotient of a number and –2" should be written as . b) The product of 3 and the difference of –4 and the quotient of a number and –2" should be written as . c) The less than symbol should be replaced with the less than or equal to symbol. d) The less than symbol should be replaced with the greater than symbol.

Answers

Answer:

c) The less than symbol should be replaced with the less than or equal to symbol.

Step-by-step explanation:

3(-4 - n/-2) < 5

The equation written above could be interpreted as :

The product of 3 and the difference of -4 and the quotient of a number, n and -2 is less than 5

This means that the only error in Maddison's representation is the inequality sign, the inequality sign used by Maddison is wrong.

The equation should be used with a ≤ sign and expressed thus :

3(-4 - n/-2) ≤ 5

This means the left hand side (L. H. S) is less than or equal to 5 ; this means the L. H. S is at most 5

Answer:

C

Step-by-step explanation:

Help for number 2a) b) c)

Thank you!! Make u the brainliest

Answers

9514 1404 393

Answer:

  a) 300 square units

  b) 260 square units

  c) 264 square units

Step-by-step explanation:

The total surface area of a triangular prism is the sum of the areas of its 5 faces. Two of those are triangles (the bases), and three are rectangles. The area of an individual triangle is A = 1/2bh, but the area of the two of them together will be simply A = bh.

The area of the three rectangular faces is the sum of the products of the height of the prism and the edge length of each face. Then the sum of these products can be computed as the product of the height and the perimeter of the base.

These repetitive calculations are nicely done by a spreadsheet loaded with the appropriate formulas. Areas are all in "square units." (For problem 3, the units are centimeters.)

Example: (2a)

Base area = 5×12 = 60 . . . . combined area of both bases

Lateral area = (5 +12 +13)(8) = 30×8 = 240

Total surface area = 60 + 240 = 300 . . . . square units

Answer:

2. a. 300 units²

b. 260 units²

c. 264 units²

Step-by-step explanation:

2. a. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 12

h = 5

s1 = 13

s2 = 12

s3 = 5

H = 8

Plug in the values into the formula

Surface area of triangular prism = 12*5 + (13 + 12 + 5)*8

= 60 + (30)*8

= 60 + 240

Surface area = 300 units²

b. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 11

h = 3

s1 = 11

s2 = 5

s3 = 6.7

H = 10

Plug in the values into the formula

Surface area of triangular prism = 11*3 + (11 + 5 + 6.7)*10

= 33 + (22.7)*10

= 33 + 227

Surface area = 260 units²

c. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 6

h = 8

s1 = 10

s2 = 6

s3 = 8

H = 9

Plug in the values into the formula

Surface area of triangular prism = 6*8 + (10 + 6 + 8)*9

= 48 + (24)*9

= 48 + 216

Surface area = 264 units²

which of the following statements is true? -6 < -8 -6> -8 or -6=-8

Answers

Answer:

-6>-8

Step-by-step explanation:

-6 is more than -8.

represent (-12)+(-8)+14 on a number line​

Answers

Answer:

-6

Step-by-step explanation:

(-12)+(-8)= -20

-20+14= -6

320 rounded to the nearest ten

Answers

Answer:

320

Step-by-step explanation:

Answer:

the answer is 320

Step-by-step explanation:

twenty is part of the ten times table and is therefore a "ten"

A particle is moving such that its height h at time t is given by h(t) = 2 + 8t - 3t^2 + 1/5t^3. The average velocity of the particle on the period [0,3] is

Answers

t=3

[tex]\\ \Large\sf\longmapsto h(t)[/tex]

[tex]\\ \Large\sf\longmapsto 2+8t-3t^2+\dfrac{1}{5}t^3[/tex]

[tex]\\ \Large\sf\longmapsto 2+8(3)-3(3)^2+\dfrac{1}{5}(3)^3[/tex]

[tex]\\ \Large\sf\longmapsto 2+24-3(9)+\dfrac{27}{5}[/tex]

[tex]\\ \Large\sf\longmapsto 26-27+5.4[/tex]

[tex]\\ \Large\sf\longmapsto -2+5.4[/tex]

[tex]\\ \Large\sf\longmapsto h(t)=3.4m[/tex]

In a class of 40 statistics majors, each one constructs a 90% confidence interval for the unknown probability p of a weighted coin landing heads. About how many of the 40 intervals will capture the value of the unknown parameter p? About how many will miss it?

Answers

Answer:

36 intervals will capture the value of the unknown parameter p, and 4 will miss it.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. x% of confidence intervals capture the unknown parameter.

About how many of the 40 intervals will capture the value of the unknown parameter p?

90% of them will capture, so:

0.9*40 = 36

0.1*40 = 4

36 intervals will capture the value of the unknown parameter p, and 4 will miss it.

Help please, but more importantly, I am really trying hard to figure out how, you arrive at the answer. Thanks in advance!

A recent social survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.

Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?

b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?

c. What is the relative frequency of a female who prefers Microsoft?ocial survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.

Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?

b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?

c. What is the relative frequency of a female who prefers Microsoft?

Answers

Answer:

Step-by-step explanation:

#1

A) P(FEMALE|APPLE)

apple total = 346

apple/female = 194

194/346 = .56 = 56 %

B) P(APPLE|MALE)

male total = 320

apple male = 152

152/320 = .475 = 47.5%

C) female prefer Microsoft

152:168 = 76:84 = 38:42 = 19:21

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the measure of the interior angle at vertex E.

A. 50
B. 90
C. 30
D. 150
PLS REPLY FAST THIS IS URGENT

Answers

Answer:

B. 90

Step-by-step explanation:

4x + 4x + 3x + 3x + 4x = 540

x = 30

Vertex E = 3x where x = 30

3x = ?

3(30) = 90

Vertex E = 90*

The measure of the interior angle at vertex E can be determined by using the properties of triangles. In a triangle, the sum of all interior angles is always 180 degrees.

Therefore, to find the measure of the interior angle at vertex E, we need to subtract the measures of the other two angles at vertices A and B from 180 degrees. Let's assume that the measures of the angles at vertices A and B are a and b degrees, respectively. Then, the measure of the interior angle at vertex E can be calculated as follows: Interior angle at vertex E = 180 degrees - (measure of angle at vertex A + measure of angle at vertex B) Now, let's refer back to the given answer choices: A. 50 B. 90 C. 30 D. 150 Without additional information or a diagram, it is not possible to determine the exact measures of the angles at vertices A and B. Therefore, we cannot directly calculate the measure of the interior angle at vertex E. In order to solve this problem, we need more information about the triangle or a diagram that shows the relative positions of the vertices.

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If 4 men working 4 hours for 4 days complete 4 units of work, then how many units of work will be completed by 2 men working for 2 hours per day in 2 days.​

Answers

bru what i’m confused

Answer:

16 days

Step-by-step explanation:

Here,

By the question,

4 men takes 4 days working each day 4 hours to complete 4 units of work..

then..

if 1 man works 1 hour each day then i would take ( 4×4×4 ) days

= 64days

then..

if 2 men work for 2 hours per day then.

it would take

4×4×4 / 2×2 days

= 16 days

Please help me out with how to solve this

In a math class, one of your 4 test scores is dropped. On the first three tests, you have the following scores: 79, 34, and 95. What score do you need on the next test for your average to be 75 (assuming you drop the lowest test score)?

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

Your score total must be 3×75 = 225. Subtracting the two high scores gives ...

  225 -95 -79 = 51

__

The score of 34 is below that value, so it is the one that will be dropped.

You need a test score of 51 on the next test for your average to be 75.

A patient is supposed to have 800 mL every 24 hours. You kmow that the patiemt has three fourths of the fluid between breakfast 8am and dinmer 6pm. How much should be injested between 8am and 6pm?

Answers

Answer: 600 ml

Step-by-step explanation:

The patient has 3/4 out of 800 milliliters of fluid. To find how much they take in, multiply 3/4 * 800.

3/4 *800= 2400/4

simplify 2400/4

= 600

The value of f(x)= 5x -4x²+3 when x= -1, is​

Answers

Answer:

F(x) =5(-1)-4(-1)^2+3,

=-5-4+3

=-6

The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.


Using technology, what is the equation for the least-squares regression line?

y= –34.13 1.98x

y = 1.98 – 34.13x

y = 17.37 0.50x

y = 0.50 17.37x

I think it's (C) y = 17.37 0.50x --> 100%

Answers

Answer:

The answer is (C)

17.37 + .50x

ED2021

Question 1 and 2 plz explain

Answers

Answer:

1.D

2.B

Step-by-step explanation:

1. The x intercept is the value of x when y is zero. We know that the x intercept is 0.5 so we must find a value of k that will make our rational function equal zero when x=0.5

[tex]y = \frac{k}{x + 1} - 2[/tex]

Substitute x=0.5 and y=0.

[tex]0 = \frac{k}{0.5 + 1} - 2[/tex]

[tex]0= \frac{k}{1.5} - 2[/tex]

[tex]2 = \frac{k}{1.5} [/tex]

[tex]3 = k[/tex]

D is the Answer.

2. We need to consider the function

[tex] \frac{2x}{1 - {x}^{2} } [/tex]

Since the numerator is a linear term, it will have one zero to the equation using fundamental Theorem of Algebra so C is wrong.

This is a rational function because we are dividing two polynomials by each other and q(x) or the denominator isnt zero. So D is wrong.

The denominator is a quadratic term so it will have two vertical asymptote according to the fundamental Theorem of Algebra So A is Wrong.

B is Right, the equation isnt defined at x=0 because when we plug 0 into the denominator, it doesn't equate to zero.

A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 8?

Answers

Answer:

22/25

Step-by-step explanation:

Multiples of 8 are 8,16,24,32,40,48

That means there are 6 multiples of 8

50 -6 = 44

There are 44 non multiples of 8

P( non multiples of 8) = non multiples of 8 / total

                                   = 44/50

                                  =22/25

The scatterplot shows the number of bedrooms in a house and the selling price for that house.



Calculate the residual for the house with 6 bedrooms, to the nearest thousand.

The residual for the house with 6 bedrooms is ___
-30k
-26k
26k
30k

Answers

Answer:

-26k, -26,000 ; (B)

ED2021

The residual for the house with 6 bedrooms is -26k.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot showing the selling price of houses with the number of bedrooms.

Equation of the line of best fit is given as,

y = 6.3x + 4.8

Residual = Actual value - Predicted value

From the scatterplot,

Actual selling price of house with 6 bedrooms = 40 × 10,000 = 400,000

Predicted selling price for 6 bedrooms = (6.3 × 6) + 4.8

                                                                 = 42.6 × 10,000

                                                                 = 426,000

Residual = 400,000 - 426,000

              = -26,000

Hence the residual is -26k.

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Two identical lines are graphed below. How many solutions are there to the system of equations?

A. Two
B. One
C. Zero
D. Infinitely many​

Answers

Answer:

the answer is D. infinitely many

The number of solutions there are to the system of equations is Infinitely many, the correct option is D.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

We are given that;

The two identical lines

Now,

We can find the equations of the two lines by using the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

For line 1, we have two points (0,2) and (1,0), so we can find the slope as:

m1 = (0 - 2) / (1 - 0) = -2

Using point-slope form, we can write the equation of line 1 as:

y - 2 = -2(x - 0)

y = -2x + 2

For line 2, we have two points (-1,4) and (2,-2), so we can find the slope as:

m2 = (-2 - 4) / (2 - (-1)) = -2

Using point-slope form, we can write the equation of line 2 as:

y - 4 = -2(x - (-1))

y = -2x + 2

We can see that the two lines have the same slope and the same y-intercept.

Therefore, by the given slope of the line the answer will be infinitely many.

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25(0.3x-4)-5(1.5x-6)+100(13/4) simplify the following expression and evaluate for x=0.345

Answers

Answer:

255

Step-by-step explanation:

Given :

Simplify the expression :

25(0.3x-4)-5(1.5x-6)+100(13/4)

Open each Bracket:

7.5x - 100 - 7.5x + 30 + 325

7.5x - 7.5x - 100 + 30 + 325

= 255

The simplified equation = 255

Which of the following rational functions is graphed below?
o
A. F(x) = 1/2x
B. AX) = 1/x-2
C. F(x) = 1/x+2

Answers

Answer:

Option B.

Step-by-step explanation:

We can see that we have an asymptote at x = 2

Remember that in a rational function, the asymptote is at the x-value such that the denominator is equal to zero.

So, the denominator is something like:

(x + a)

we have that the denominator is zero when x = 2

Then:

(2 + a) = 0

solving that for a, we get:

a = -2

Then the denominator of the rational function is:

(x - 2)

For the given options, the only one with this denominator is option B, then the correct option is B.

Answer:

B. f(x) = 1/x-2

Step-by-step explanation:

Math is ez bro.

complete the square to form a true equation;
x^2-3/4x+__ = (x-__)^2

Answers

172273-3-$=$==8399993939384888884-%"%/=%=%8%

Step-by-step explanation:

(x^2-3/4x+y^2)=(x-y)2

(x-3/4*1/2)2

(x-3/8)(x-3/8)

(x^2-3x/8-3x/8+9/64)

(x^2-6x/8+9/64)

(x-3/8)2

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