The circumference of the moon is about 6,790 miles.find the diameter of the moon to the nearest mile. Help

Answers

Answer 1

Answer:

2161 miles

Step-by-step explanation:

The formula for the circumference of a circle is \pi d, where d represents the diameter. Therefore, if you divide the circumference of the moon by pi, you will get the diameter. 6790/pi is about 2161 miles. Hope this helps!

Answer 2

Final answer:

The diameter of the Moon is approximately 2161 miles when rounded to the nearest mile.

Explanation:

The circumference of the Moon is given as about 6,790 miles. To find the diameter, we use the formula for the circumference of a circle, C = πd, where C is the circumference and d is the diameter.

To solve for the diameter, the formula is rearranged to d = C / π. Using 3.14159 as an approximation for π, we calculate the diameter.

d = 6790 miles / 3.14159 ≈ 2160.98 miles

So, the diameter of the Moon is approximately 2161 miles when rounded to the nearest mile.


Related Questions

What are the roots of the quadratic function in the graph?

Answers

Answer:

The roots would be -4 and 2.

Step-by-step explanation:

Roots are always going to be where the graph crosses the x axis.  In this case, the graph crosses the x axis at -4 and 2.

Hence, the roots are -4 and 2.

how many different teams containing 5 members each can be formed from a group of 9 players

Answers

Answer:

1 team with 4 extra people

Step-by-step explanation:

Final answer:

126 different teams can be formed from a group of 9 players.

Explanation:

To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.

The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),

where

n is the total number of items to choose from,

r is the number of items to be chosen, and

! denotes factorial.

In this case, n=9 and r=5.

Thus, using the combinations formula, we get:

9C5 = 9! / (5! * (9-5)!)

       = 9! / (5! * 4!)

       = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

       = 126 different teams.

Therefore, 126 different teams can be formed from a group of 9 players.

Determine the volume of this prism.

Answers

Answer:

54 in cubed.

Step-by-step explanation:

Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!

In January, Toby's bookstore sold books. In February, he sold 20% more books.
How many books did he sell in February? *

Answers

Answer:

450

Step-by-step explanation:


You earn 60 dollars for mowing 5 lawns how much do you earn for mowing 15 lawns

Answers

well 60/5=12

so you get $12 per yard

12*15=180

or you could notice that 5 goes into 15 3 times and then multiply 60*3 any way the answer is 180

You would earn $180 if you did 15 yards

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance between the train stations in New York and Boston is 240 miles. The average speed of train A is 60 mph, which is 3/4 of the average speed of train B.

How soon will the trains meet?

Answers

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

                  [tex]\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles[/tex]

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

Answer:

1.7

Step-by-step explanation:

There are 38,412 nurses registered in the region this year. There are about __________
less nurses than last year when there were 42,198 nurses.
a. 3,800 b. 3,900 c. 4,600

Answers

Answer:

A. 3,800

Step-by-step explanation:

42,198 - 38,412 = 3786

Final answer:

To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).

Explanation:

The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.

Number of nurses last year: 42,198

Number of nurses this year: 38,412

Difference = 42,198 - 38,412 = 3,786

The closest round number to the actual difference (3,786) is 3,800, which is option (a).

What did the boy bumper car say to the girl bumper car

Answers

Answer:

may I have the next dents?

Step-by-step explanation:

Final answer:

The question refers to a potential joke or riddle involving boy and girl bumper cars. The precise answer isn't clear without additional context, but an example of a joke incorporating cars is provided.

Explanation:

The question asked, 'What did the boy bumper car say to the girl bumper car', appears to be a joke or riddle. It is ambiguous without a specific punchline directly related to educational material. However, if this is in reference to a literary work, there's a chance we could interpret the question more effectively. An example answer might be: 'Excuse me, are you a parking ticket? Because you've got FINE written all over you!'. That is an example of a typical joke that includes automobiles, although it's important to remember that humor can be subjective.

Learn more about Jokes here:

https://brainly.com/question/33509840

#SPJ3

Ruth Brown wants to borrow $2,600 for 90 days to pay her real estate tax. State Savings
and Loan charges 7.25% ordinary interest while Security Bank charges 7.5 % exact
interest.
(a) What is the interest of each loan?
(b) What is the maturity value of each loan?
(c) What is the maturity value of the loan if it has an ordinary interest?
(d) What is the maturity value of the loan if it has an exact interest?
(e) Where should they borrow the money?

Answers

Final answer:

To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.

Explanation:

To find the interest and maturity value of each loan, we can use the formula:

Interest = Principal * Rate * Time

Maturity Value = Principal + Interest

(a) For State Savings and Loan, the interest is calculated as:

Interest = $2,600 * 0.0725 * (90/365) = $50.23

The maturity value is:

Maturity Value = $2,600 + $50.23 = $2,650.23

For Security Bank, the interest is calculated as:

Interest = $2,600 * 0.075 * (90/365) = $53.36

The maturity value is:

Maturity Value = $2,600 + $53.36 = $2,653.36

(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.

(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.

(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.

(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.

say something there are 30 points in game

Answers

Answer:

Thats pretty neat

Step-by-step explanation:

Life

13 feet = how many yards and feet

Answers

Answer:

13 feet= 4.33333 yards

Step-by-step explanation:

Answer:

4 yards and 1 foot

Step-by-step explanation:

I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.

Look at the image to answer.​

Answers

The square root of 121 (√121) is 11. Then to write 11 as a square root would be square root of 121 (√121). The side length is a ration number even though it is written as √121 because it is a square root of a square number.

THIS IS DUE TODAY!!!!
PLEASE HELP!!!!

Answers

Answer:Rectangle NOSR is similar to LOSP.

Step-by-step explanation: The length of the sides are similar. (18 * 2/3 = 12, 12 * 2/3 = 8)

I’m in the same thing !! I need help alas

Math the translation with correct graph for Triangle RST.
1 left and 3 up
I left and 3 down
3 night and 3 down
ANSWER ASAP please?!​

Answers

Answer:

the 1 left 3 up one is the 3rd one first row

the 1 left and 3 down is the 2nd one first row

the 3 right and 3 down is the 1st one first row

mark branliest if possible thanks

need help also.......

Answers

Answer:

Step-by-step explanation:

[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]

Scale factor:

1:2

a restaurante bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.

Answers

Answer:

$35.79

Step-by-step explanation:

Bill:                   $28.35

Tip of 20%:      $5.67     ( 28.35*0.2)

Tax of 6.25%:  $1.77      ( 28.35*6.25)

Total:               $35.79

Answer:

$35.79

Step-by-step explanation:

28.35(0.2 tip)

=5.67

28.35(0.0625 tax)

=1.77

$28.35 + $5.67 tip + $1.77 tax

=$35.79

Hope this helps

please mark me brainliest it would help(✿◠‿◠)

8x-y=-6 2x-3y=4
Substitution ASAP

Answers

Answer:

down below

Step-by-step explanation:

Point Form:

(−1,−2)

Equation Form:

x=−1,y=−2

Answer:

(- 1; - 2)

Step-by-step explanation:

y = 6 + 8x

2x -3y = 4

2x - 3(6 + 8x) = 4

x = - 1

y = 6 + 8 × (- 1)

y = - 2

(- 1; - 2)

The table shows the side lengths and perimeters of four squares.


Side Length (x)
Perimeter (y)
4.5
18
8.5
34
10.25
41
13.75
55



Which equation represents the relationship between the side length, x, and the perimeter, y?

y = 4x
y = x + 13.5
y = x – 13.5

Answers

Answer: I believe that the answer is y=4x

Step-by-step explanation: y=4*4.5= 18

y=4*8.5= 34 I hope I explained it well.

Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?

Answer in decimal form. Round to 3 decimal places as needed.

Answers

Answer:

0.143

Step-by-step explanation:

From counting principle, we can say that:

There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?

We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So

Probability Xerxes arrives first = 6!/7! = 0.1429

Rounding to 3 decimal places, it will be:

Probability Xerxes arrives first = 0.143

Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?

A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.

B.Laurie is correct because 200 ounces is more than 40 pounds.

C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.

D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

help i guess

Answers

Answer:

D

Step-by-step explanation:

I tried a it's not right sorry bro

Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Weight & Conversion

From the question, we are to determine if Larie is correct or not

From the given information,

Laurie needs at least 40 pounds of topsoil.

Then,

If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.

Now, convert 600 ounces to pounds

NOTE: 16 ounces = 1 pound

Then,

600 ounces = (600/16) pounds

600 ounces = 37.5 pounds

Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.

Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Learn more on Weight & Conversion here: https://brainly.com/question/11307613

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall and 2ft wide, what is the volume of the toy? Round your answer to two decimal places.

Answers

Answer:

The volume of the toy is [tex]V=5.23\ ft^3[/tex]

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

[tex]V=\frac{2}{3}\pi r^{3}[/tex]

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

[tex]D=2\ ft[/tex]

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3[/tex]

step 2

Find the volume of the cone

The volume of the cone is given by

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we know that

The radius of the cone is the same that the radius of the hemisphere

so

[tex]r=1\ ft[/tex]

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

[tex]h=4-1=3\ ft[/tex]

substitute the given values

[tex]V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3[/tex]

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

[tex]V=(\frac{2}{3} \pi+\pi)\ ft^3[/tex]

[tex]V=(\frac{5}{3}\pi)\ ft^3[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=\frac{5}{3}(3.14)=5.23\ ft^3[/tex]

The box plots show attendance at a school dance competition and school badminton games.

Box plots titled Attendance at School Dance Competitions versus School Badminton Games with horizontal axis labeled Attendance ranges from 50 to 160. Dance Competition box plot with minimum approximately at 60 and maximum approximately at 150 has interquartile ranges approximately between 60 and 130 and median approximately between 90 and 100. Badminton box plot with minimum approximately 90 and maximum approximately at 150 has interquartile ranges approximately between 90 and 150 and median approximately between 120 and 130.

Which of the following best describes how to measure the spread of the data?

The standard deviation is a better measure of spread for dance competitions than for badminton games.
The IQR is the best measurement of spread for badminton games and dance competitions.
The IQR is a better measure of spread for dance competitions than for badminton games.
The standard deviation is the best measurement of spread for badminton games and dance competitions.

Answers

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Recall:

Interquartile range (IQR) is the difference between the first quartile and the third quartile.From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.IQR is a measure of spread.

Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.

Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Learn more about interquartile range on:

https://brainly.com/question/9386254

There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
-7x + 10 = –20 OR 10 = 7x - 20
Solve the equation using both approaches.
What is the solution?

Answers

Answer:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Hope this helps ;)

Answer:letter c x=30/7

Step-by-step explanation:

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

Answers

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              [tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       [tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]

                             ( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )

               25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]

                           25 + 1 -2x = 0               ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

The average height of a 17-year-old girl in the US is about 64 inches with a
standard deviation of 2.8 inches. Without using a calculator, estimate the
probability of 17-year-old girl in the US that are between 58.4 inches and 69.6
inches.​

Answers

the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 58.4<X<69.6 is equal to the blue area under the curve.

Step 2:

Since μ=64 and σ=2.8 we have:

P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 <  X−μ/σ< 69.6−64/2.8)

Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:

P ( 58.4<X<69.6 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

7x+11x
12y-5y+19
3t+6z-4t+9z+z
19mn+6x^2+2nm
5x+3(x+1)+2x-9
Simplify each expression

Answers

Answer:

18 x

7 y+19

-t+16 z

6 x^2 +21 m n

10 x - 6

Step-by-step explanation:

Add the coefficients

Subtract the coefficients

Combine like terms

Combing like terms

Distribute the three into the parenthesis then combine the like terms.

Look at the attached picture ⤴

Hope it will help u........

7t2 – 14t
------------------
4t2 – 9

this is a fraction does it have any excluded values and why

Answers

Final answer:

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

Explanation:

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/22t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/2

2t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Whose display correctly represents the sample space?

Answers

Answer:

Both of them

Step-by-step explanation:

Answer:

Both of them

Step-by-step explanation:

Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?

Answers

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

Add the the ratio 5:1

It will be 5+1=6

Remember that 6 is the total ratio equivalent to £50 and we only wanted to obtain Collins gain so you say

Collins is represented with the ratio 1 while Brian 5

If 6=£50 what about 1
1×£50/6 which you will give you £8.3

Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Other Questions
Measurements of two electric currents are shown in the chart. A 3-column table with 2 rows titled Electric Currents. The first column labeled Current has entries X, Y. The second column labeled Volts has entries 1.5, 9. The third column labeled Amperes has entries 7.8, 0.5. Which best compares the two currents?Current X has a greater potential difference, and the charges flow at a slower rate. Current Y has a greater potential difference, and the charges flow at a slower rate. Current X has a greater potential difference, and the charges flow at a faster rate. Current Y has a greater potential difference, and the charges flow at a faster rate. 2K + 2HBr 2 KBr + H2When 5.5moles of K reacts with 4.04moles of HBr, to produce Hydrogen gas(H)a). What is the limiting reactant?b.)What is the excess reactant? 2K + 2HBr 2 KBr + H2When 5.5moles of K reacts with 4.04moles of HBr, to produce Hydrogen gas(H)a). What is the limiting reactant?b.)What is the excess reactant? 2K + 2HBr 2 KBr + H2When 5.5moles of K reacts with 4.04moles of HBr, to produce Hydrogen gas(H)a). What is the limiting reactant?b.)What is the excess reactant?C.)How much product is produced? While lawmakers might generally agree that a large infusion of public funds to the public education system along with a dramatic reform of the public structure would optimize the outcomes of student performance in public education in Texas, they may choose to continue making incremental increases in funding and tweak the funding structure during each session in a practice referred to as what? Evaluate the arithmetic series described : 2+(-2)+(-6)+(-10)...,510 evaluate 3/2 y - 3 + 5/3 z when y = 6 and z= 3 Which elements have similar behavior?A. BariumB. SiliconC. AluminumD. StrontiumE. OsmiumF. Beryllium Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph slower than Cynthia's. At the end of one hour, they are 70 miles apart. Find Cynthia's average speed. (Round your answer to the nearest tenth.) 7. Choose either Exxon or Penny's Pickles and describe two reasons why the stock price could rise and two reasons why the stock price could fall. Mixed Costs and Cost Formula Ben Palman owns an art gallery. He accepts paintings and sculpture on consignment and then receives 20% of the price of each piece as his fee. Space is limited, and there are costs involved, so Ben is careful about accepting artists. When he does accept one, he arranges for an opening show (usually for 3 hours on a weekend night) and sends out invitations to his customer list. At the opening, he serves wine, soft drinks, and appetizers to create a comfortable environment for prospective customers to view the new works and to chat with the artist. On average, each opening costs $600. Ben has given as many as 20 opening shows in a year. The total cost of running the gallery, including rent, furniture and fixtures, utilities, and a part-time assistant, amounts to $120,000 per year.Required:1. Assume that the cost driver is number of opening shows. Develop the cost formula for the gallery's costs for a year.2. Using the cost formula developed above, what is the total cost for Ben in a year with 12 opening shows?$Using the cost formula developed above, what is the total cost for Ben in a year with 14 opening shows?$ Which sentence correctly uses a comma to separate coordinate adjectives?My father bought a new, wood desk for his office.A red, rusty gate blocked the opening of the trail.A cool, chocolate milkshake tastes great on a hot day.My sister drives a bright, pink minivan to work every day. 8i / 32iIf the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=1) A chip company has two manufacturing plants. Plant A produces 40% of the chips and Plant B produces 60% of the chips produced by the company. The company knows that 2% of the chips produced by plant A are defective and 1% of the chips produced by plant B are defective. If a randomly chosen chip produced by the company is defective, what is the likelihood that the chip came from plant A Whats 2x+4 equal because Ive been thinking what it was what is the cold war and why is it important in history Which excerpt from Dispatches is an example of paradox? Which areas of US life were addressed by Johnsons Great Society? Check all the boxes that apply.2,3,4,5 Find the value of 4x^2 2y when x = 3 and y = 2. claris brought 8 tickets for a total cost of $104. she had used a coupon code to get $3 off each ticket. let x be the original cost of each ticket. write an equation that correctly represents the situation. - 3 when x = -2?What is the point on the graph of the function f(x) = (x +Enter your answer in the boxes.THESE What is the volume of the die?