Show all work.
10. If ab + 2c= c, then c=
(A) 2ob+c
(B) 4abc
(C) 3abc + 4c
(D) c+ 2ab

Answers

Answer 1
2455454654554544334343333
Answer 2
the answer is d i believe

Related Questions

Josh is 72 inches tall. Ruben is 9/10 as tall as josh. John is 11/12 tall as ruben. a. what is rubens height in inches b. what fractional of of joshs height is johns?

Answers

Answer:

A. Ruben's height- 64.8 inches

B. John's height- 3/4 of Josh's height

Step-by-step explanation:

A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.

B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.

A. Rubens height in inches is 64.8
B. 33/40 is the fractional part of johns height to Josh’s

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Answer:

Step-by-step explanation:

315/3

3miles=315cal

1mile = 105cal

105*10=1050cal

1,050
315 divided by 3 = 105
105 x 10 = 1,050


20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as much as the marker. What was the cost of the pen?

Answers

Answer:

$1.30

Step-by-step explanation:

Let x = the cost of the pencil

Let x + .80 = the cost of the pen

Let 4(x + .80) = the cost of the binder

x + x + .80 + 4(x + .80) = 11.80

2x + .80 + 4x + 3.20 = 11.80

6x + 4.00 = 11.80

6x = 7.80

x = $1.30

x + .80 = $2.10

4(x + .80) = $8.40

$1.30
Just did the problem and got it correct!

What is 280.0575 as a fraction

Answers

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. b. 5 is what percent of 20?

Answers

Answer: 25%

Step-by-step explanation:

We know that 20 divided by 5 is 4, so 5 is one-fourth of 20 or 25%.

The answer should be 25%

IM CONFUSED: A used car dealer has the following information for 2 months of sales:
Month 1: 239 cars sold
Month 2: 324 cars sold
Do we have an increase or a decrease in sales and what percentage?

Answers

Answer:

Rounds to about 135% increase.

Step-by-step explanation:

Increase/original number x 100

324 / 239 × 100. This rounds to about a 135% increase.

I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.

There was an increase in sales between Month 1 and Month 2, as the number of cars sold in Month 2 (324 cars) was higher than the number sold in Month 1 (239 cars).The percentage increase in sales is approximately 35.56%. This means that the sales in Month 2 increased by about 35.56% compared to the sales in Month 1.

To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.

Calculate the difference in sales:

Difference = Month 2 sales - Month 1 sales

Difference = 324 cars - 239 cars

Difference = 85 cars

To find the percentage change, use the following formula:

Percentage Change = (Difference / Initial Value) * 100

In this case, the initial value is the number of cars sold in Month 1 (239 cars).

Percentage Change = (85 cars / 239 cars) * 100

Percentage Change ≈ 35.56%

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Please answer correctly and answer all 2 QUESTIONS!

IF you don't know the answer DON'T answer!!

I will mark brainliest so hurry up and get your 60 points ! ty

Answers

Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

1: right five down three

7.33. Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours. If they work together, then how long will it take them to paint the fence?

Answers

Answer:

It takes them 30/11 hours to paint them together.

Step-by-step explanation:

This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:

[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]

We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:

[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]

Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):

[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]

Therefore, the time it takes them to paint the fence together is 30/11 Hours

Answer:

The number of hours it will take them to paint the fence is 2.7 hours.

Step-by-step explanation:

Given:

Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.

Find:

the number of hours it will take them to paint the fence

Step 1 of 1

Determine their work rates, and then add them.

In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.

So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours

[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.

HEEEEELLLLPPPP 3 PLEAASSEEE

Answers

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

It is not a function

8.25 The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?

Answers

Answer:

125 cups

Step-by-step explanation:

36/100*x = 45

18/50*x = 45

18x = 2250

x = 125

Answer:

The amount of coffee the maker will hold when full be 125 cups.

Step-by-step explanation:

Given:

The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

To find:

Number of cups of coffee does it hold when it is full.

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

Let the amount of coffee the maker will hold when full be x.

Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

Which implies:

[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]

what is 3÷11=
A. 11/3
B. 3/11
C. 3/8
D. 8/3

Answers

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

Answer:

my answer is B. 3/11

Step-by-step explanation:

which is =27.27%

pls if correct please mark me as Brainliest Answer please

PLEASE HELP URGENT 10 POINTS

Answers

All are correct

Explanation:since in none of the answers share the same the same X value and since the graph passes the vertical line test it is a function
All are correct!! This is because none of them share the same x value and therefore it would pass the verticals line test!

7.23. A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?

Answers

Answer:

40 miles in 60 minutes

Step-by-step explanation:

1 hour has 60 minutes, and since the freight train travels 1 mile in 1.5 minutes, it can be said that the train travels 2 miles in 3 minutes (assuming a constant rate). This becomes a problem of equal ratios:

[tex]\frac{2}{3}=\frac{x}{60}[/tex] , where the numerator refers to distance, and the denominator refers to the time

After cross multiplication, we find that 3x = 120, or x = 40.

Therefore, it takes 1 hour for the train to travel 40 miles

Answer:

The number of miles will the train travel in 1 hour is 40 miles.

Step-by-step explanation:

Given:

A freight train travels 1 mile in 1 minute 30 seconds.

Find:

The number of miles that the train will travel in 1 hour

Step 1 of 1

One minute 30 seconds is [tex]$\frac{3}{2}$[/tex] minutes, so the train's speed is

[tex]$$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{\frac{3}{2} \text { minutes }} \\&=\frac{2}{3} \frac{\text { miles }}{\text { minute }}\end{aligned}$$[/tex]

There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance [tex]=(60$ minutes $) \cdot\left(\frac{2}{3} \frac{\text { miles }}{\text { minute }}\right)$[/tex]

                  =40 miles.

9. You want to compare the average amounts of time students in sixth, seventh, and eighth grade spend on homework each week.
b. Perform the experiment. Can you make a conclusion about which students spend the most time on homework? Explain your reasoning.

Answers

Answer:

if you compare the average of the 3 grades the one with the highest average would be the grade who spends the most time on homework.

Step-by-step explanation:

Compare the average 3 grades and

What is the Cost Price?

Cost price: $60 and Loss: 12 1/2%

Answers

Answer,   60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

60 & lost 12 1/2 :))

Simplify the expression. (Section 3.1) 48. 2y - 5(y - 3)

Answers

Answer:

-3y+15

Step-by-step explanation:

2y - 5(y - 3)

To simplify, the first step is to distribute the -5

2y - 5y +15

Combine like terms

-3y+15

Answer: 15-3y

Step-by-step explanation:

Using the distributive property, we have:

2y-5y+15

simplifying gets us:

15-3y.

A developer has 3 plats of land. One was 39 acres, another was 37 acres, and another of 49 acres. How many 1/4 acre lots did he have? If each lot sold for $2000.00 how much did he sell all the lots for? (Giving out 20 points)

Answers

He has 500 1/4 acre plots, if he sold each 1/4 acre plot for 2000 then he would have made $1,000,000, if he sold each by entire acre he would have made $250,000

The number of 1/4 lots in 3 plots of land is 500 and the total amount obtained after selling the lots will be equal to $1,000,000.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of plats of land = 3

First plat = 39 acres.

The number of 1/4 acres in the first plat will be,

39 × 4 = 156

Second plat = 37 acres

The number of 1/4 lots in the second plat will be,

37 × 4 = 148

Third plat = 49 acres

The number of 1/4 lots in the third plat will be,

49 × 4 = 196

Then, the total number of 1/4 acres lots will be,

156 + 148 + 196

= 500 lots

Price of each lot = $2000

Then, the price of 500 lots will be,

$2000 × 500

= $1,000,000

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Can someone help me answer this?
50 points if answered

Will give Brainliest if you explain how you got the answer

Answers

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

It’s D because it’s closest to 1/3 interval points

what is the volume of a cone with a height of 10.5 inches and a radius of 8 inches

Answers

Answer: 703.72 inches^3

Step-by-step explanation:

Volume = pi * r^2 * h/3

             = pi * 8^2 * 10.5/3

             = 64 pi * 3.5

             = 224 pi

             = 703.72 inches^3

2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. e. 75 is what percent of 50?

Answers

Answer:

75 is 150% of 50!

150% because 100% = 50(1). x % =75(2)

Which of the following expressions are equivalent to 1/-7 x -6/5?

Choose ALL the answers that apply.
A. - 1/7 x 6/5

B. -6 x - 7/5

C. None of the above.

Answers

Answer:

C.

Step-by-step explanation:

1/-7 × -6/5 = 6/35

A. -1/7 × 6/5 = -6/35

B. -6 × -7/5 = 42/5

Answer: C.

Answer :
C
None of the above

how many two-digit positive numbers are divisible by 3 or 5?

Answers

ANSWER: 6

First you find the LCM which in this case happens to be 15 or 3*5. Then multiply 15 to the maximum number you can staying under a hundred. 15*6 = 90. The number fifteen was multiplied by is your answer

Answer:

it is one ez l ez ez ez ez bozo

Can someone help me these 2 questions? PLS and ty!

I’ll give Brainliest if you explain how you solved this

25 points?

Answers

Answer:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

Let's take this problem step-by-step:

Both problems involve triangles:

 ⇒ let's find out the sum of the interior angle w/ formula 180(n-2)

        Total Interior Angle Sum of Triangle = 180(3-2) = 180

Let's solve the first problem (A)

   ⇒ we know the total interior angle sum is 180 degrees

   ⇒ we know that two of the angles are 30 degrees and 90 degrees

        * any angle with a square on them is 90 degrees

   ⇒ therefore:

           30 + 90 + y = 180

              120 + y= 180

                    y = 60

Let's solve the second problem:

  ⇒ the angle opposite the exterior angle, 120 degrees, is on a flat line

        with it

        ⇒ therefore it is 60 degrees

            ⇒ two angles on a flat line equal 180 degrees

   ⇒ two angles are therefore 60 degrees

    ⇒ therefore:

                     60 + 60 + y = 180

                          120 + y = 180

                                  y = 60

Answer:

(A) y= 60(B) y =60

Type the correct answer in each box.
Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x + 2x + 5 = 62, where x is Jenny’s age.
Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is _____ . So, Jenny is _____ years old and her mother is ____ years old.

Answers

Hello !

12 :

[tex]12 + 2 \times 12 + 5 = 41 \ne62[/tex]

15 :

[tex]15 + 2 \times 15 + 5 = 50 \ne62[/tex]

18 :

[tex]18 + 2 \times 18 \ + 5 = 59 \ne62[/tex]

19 :

[tex]19 + 2 \times19 + 5 = 62[/tex]

The value that holds true for the equation is 19. So, Jenny is 19 years old and her mother is 43 years old.

Have a nice day ;)

19 is the correct answer

There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

3*1 "female" parts and 1 "male" part

3+1=4

Males : 1/4

Answer:

1/4

Step-by-step explanation:

(x + 3x = 4x)

x = male

3x = female

Therefore add both and get 4x.

So male is 1 out of 4 or 1/4

ANSWER FAST AND PLS EXPLAINN

(05.04 MC)

An image of a rectangular pyramid is shown below:



A right rectangular pyramid is shown.

Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Answers

Answer: A: SquareB: Triangle

Step-by-step explanation:

Aaaaaaaaaaaaaa. a a a a a a a a

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Step-by-step explanation:

315 calories for 3 miles.

315/3 = 105 calories for 1 mile

105×10 = 1050 calories for 10 miles

Answer:

Hello! The answer is 1050 calories.

Step-by-step explanation:

To calculate this, you have to find how many calories are used PER mile. To do this, you have to divide the total calories by the mileage:

315 ÷ 3 = 105

Now that you have the calories used per mile, you can find how many calories are used in a 10 mile jog:

105 × 10 = 1050 calories

PLS ANSWER THIS QUESTION- this is 8th grade math

Answers

it is 153/250. message me if u need any help. lol
153/250 hope that helps


18. The mass of a box with 20 similar bottles of cooking oil is 18.6 kg. The mass of the empty box is 1.4 kg. What is the mass of each bottle of oil in kilograms?

Answers

Step-by-step explanation:

Total mass = 18.6kgMass of empty box = 1.4kgno. of bottles = 20

subtract the mass of the empty box from the total mass to get the mass of only the bottles: 18.6 - 1.4 = 17.2kg

Mass of the 20 bottles = 17.2kg To get the mass of each bottle, we divide the mass of the bottles by the number of bottles.therefore: 17.2 ÷ 20 = 0.86 kg

Therefore the mass of each bottle = 0.86kg.

Hope this helps.

Good luck ✅.

18.6-1.4=17.2 kg

17.2/20 bottles=0.86 kg per bottle of oil

There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\

Answers

Answer:

ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2

so lets just count up 3/4

3/4 =1

1 1/2=2

so 2 times

Hope This Helps!!!

Answer:

There are 2 bricks in the bag.

Step-by-step explanation:

Let n represent the number of bricks in the bag.  Then:

(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:

     

        1 1/2 lb

n = --------------------- = 2 bricks

        3/4 lb/brick

There are 2 bricks in the bag.

Other Questions
Please help!!! If........... favorite anime opening go!!!!! mine all of the bungo stray dogs openings ,tokyo goul and jujitsu kisen Select the correct answer.Imagine you are an advisor for a sitting US president. You have just received word that three small boats appear to have attacked a US port. The president wants to retaliate, but you think more evidence is needed before US forces attack. What historical event could you reference to support your case best?A. North Korean invasion of South KoreaB. Gulf of Tonkin incidentC. attack on Pearl HarborD. launching of SputnikE. firing of General MacArthur How do mitosis and cell differrentiation work together to produce and maintain a complex organism? The rubric below shows point breakdown. Please be sure to include both of the roles- the role of mitosis and the role of cellular differentiation- in producing and maintaining complex organisms. Use the model to support your answer Find n in this equation: 208P(n,2)=P(16,4) When preparing a pure and dry sample of ammonium chloride, we cannot dry the sample of ammonium chloride by evaporating it to dryness. what are the possible numbers of positive, negative, and complex zeros of f(x)=x^6+x^5+x^4+4x^3-12x^2+12? The "beat generation" was the nickname for _____. the followers of the hippie movement a group of artists and authors centered in san francisco in the early seventies the youth culture of the late 1940s a group of writers and thinkers centered in greenwich village, new york city, in the mid-1950s as asked to share how she would conduct a product launch with a limited budget and only three weeks. The interviewer was testing her ________ ability A(n) ________ estate represents the most complete form of ownership of real estate; the owner is free to divide it up into lesser estates and sell, lease, or borrow against them as he or she wishes. What was created by the U.S. government in 1914 to specifically define what types of competition were legally unfair A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area of Plot A can be represented by 3x^2 +7x - 5, and the area of Plot B can be represented by 5x^2 - 4x + 11. Write a polynomial that represents the total area of both plots of land. Fill in the blank in the following sentence with the appropriate phrase below.Pour viter les accidents avant de faire du sport, il faut ____.A. manger des fruits et des lgumes.B. fumer.C. boire 8 verres d'eau.D. tirez ses muscles. The cannon on a battleship can fire a shell a maximum distance of 36.0 km.(a) Calculate the initial velocity of the shell. m/s(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) m(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship? mDoes your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.)The error is insignificant compared to the distance of travel.The error is significant compared to the distance of travel.The error could be significant compared to the size of a target.The error is insignificant compared to the size of a target. what is the maximum amount of CO2(44.0095 g/mol) which could be formed from9.31 g of C2H2 (26.0373 g/mol) and 3.8 g ofO2 (31.9988 g/mol)? Mother TheresaMother Theresa is well-known for her service to the poor in Calcutta, India. She once said, "Intense love does not measure; it just gives." Sheworked to spread love and hope to those within her reach, but not many people know about her background and what led her to do her greatwork.Early LifeMother Theresa was born in Yugoslavia on August 27, 1910, under the name Anjez Gonxhe Bojaxhiu. She was the youngest of three children. Shad an older sister, Aga, and an older brother, Lazar. Although most people believe that she came from humble beginnings, her family actuallyhad a lot of money. Her father was a well-respected contractor, and their family had two homes. When she was only seven years old, tragedystruck. Her father passed away suddenly, and her mother had to take full responsibility for the children.Mother Theresa later recalled that she spent a lot of her time at church with her family, but she didn't decide to become a nun until she was 18years old. At this point, she traveled to Ireland to receive her training from the Loreto Sisters of Dublin.A= does not measure B= early life C= an older sister D= only seven years oldE= at this point Please help! (: What assumptions about the economy must be true for the invisible hand to work? To what extent are those assumptions valid in the real world? Do these conditions hold in the social service industries? Which of the following is NOT a public good provided by the government? According to the principle of independent assortment, there is a _____ percent chance that any tall pea plant will produce either yellow or green peas. Daniel's failure to deliver ice-cream makers and waffle makers on time resulted in a two-week delay in the opening of Sheena's new ice-cream parlor. Sheena incurred a heavy loss since she had to pay the rent for those two weeks as well as salaries to the personnel hired. In this case, which of the following remedies is a court most likely to award Sheena? Group of answer choices nominal damages liquidated damages differential damages specific performance consequential damages