Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover
the collage with smaller pictures that have the same shape as the collage. If the base of each small picture is 4.5 inches and
the height is 3.5 inches, how many small pictures will fit within the collage?

Answers

Answer 1

Answer: [tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Step-by-step explanation:

Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:

1. You need to use the formula for calculate the area of a rectangle:

[tex]A=lw[/tex]

Where "l" is the length and "w" is the width.

2. Using the formula, you must calculate the area of an small picture.

You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

[tex]A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2[/tex]

3. Calculate the area of the collage using the formula:

[tex]A_{collage}=(l_{collage})(w_{collage})[/tex]

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

[tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Answer 2

Answer:

C is the answer

Step-by-step explanation: I took a test


Related Questions

Steve is buying a new car at the dealership. The price tag on the car reads $17,000.00. However, the salesman offers to sell him the car for 15% off the price tag. If sales tax is 8%, how much does the car cost after tax?

Answers

Answer:

$15606000

Step-by-step explanation:

17,000,000*.15 (15% off)

$ 2550000 off

17,000,000

-2550000

$14450000 (15% off)

*1.08 (sales tax)

$15606000

sorry if it is incorrect

Answer:

if the sale tax comes first before the 15% off,

Sales Tax: 1360

so the price became 18360

Price Off: 2754

18360 - 2754 = 15606

if the sale tax comes after the 15% off,

Price Off: 2550

17000-2550 = 14450

eight percent of 14450 is 1156

14450+1156 = 15606

anyways, the price is the same no matter if the sales tax comes first or the discount comes first

Write an expression in simplest form to represent the area of the shaded region
3x+2 2x 3x 4x

Answers

12x+2

explication:
2x+3x= 5x
5x+3x= 8x
8x+4x= 12x + 2
Answer:12x+2Step-by-step explanation:2x+3x= 5x5x+3x= 8x8x+4x= 12x + 2

mean of 10 observations is 2.5.if one observation 2.5 is deleted,determine the new mean​

Answers

Answer: 2.5

Step-by-step explanation:

Mean m = Sum s ÷ no of observation n

m = 2.5, n = 10

2.5 = s ÷ 10

s = 10 × 2.5

s = 25.

If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.

The no of observation becomes 9.

Therefore new mean = 22.5 ÷ 9

m = 2.5.

How this helps?

Final answer:

The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.

Explanation:

The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.

Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.

Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.

Learn more about Mean calculation here:

https://brainly.com/question/30756017

#SPJ12

Which of the following equations would result in destructive interference with the wave y= -2sin(2pi/3 x)?
A.) y= -2sin(2pi/3 x)
B.) y=2sin(2pi/3 x)
C.) y= -2sin 3pi/2 x)
D.) y=2sin (3pi/2 x)

Answers

Answer:

B: 0.449 secs

A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)

B: y=2sin(2pi/3x)

Answer:

B. y=2sin(2pi/3x)

Step-by-step explanation:

a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36

Answers

Answer:

A. 250

B.40

C.225

D.24

Step-by-step explanation:

20/0.08 = 250

30/0.75 = 40

45/0.2 = 225

36/1.5 = 24

Answer:

a. 8% of 250 = 20

b. 75% of 40 = 30

c. 20% of 225 = 45

d. 150% of 24 = 36

Step-by-step explanation:

20×100÷8

=250

30×100÷75

=40

45×100÷20

=225

36×100÷150

=24

Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is the likelihood of this event?
A.
The probability is 1, and the event is certain.
B.
The probability is 3/11 , and the event is likely.
C.
The probability is 6/11, and the event is unlikely.
D.
The probability is 6/11 , and the event is neither likely nor unlikely.

Answers

Answer:

D. The probability is 6/11, and the event is neither likely nor unlikely

Step-by-step explanation:

54% = 6/11

Answer:

D

Step-by-step explanation:

The green dots must make up a triangle 1/3 of the original picture PLZ HELP

Answers

Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

If a circle has a radius of 12 feet, whats its circumference most nearly?

Answers

Answer:24π feets

Step-by-step explanation:

Since the circumference C= 2πr and r=12

C= 2x12xπ

C=24π

If 4/5x is -16, what is the value of -2x-15?​

Answers

Answer:

25

Step-by-step explanation:

Given data

(4/5)x = -16

x = -16 (5/4)

x = -20

Now,

-2x-15 = ?

putting the value of x

-2(-20)-15 = 25

-2 square root 20- square root 125

Answers

Answer:-5.93958251....

Step-by-step explanation:

To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.

The question asks to simplify the expression -2√20 - √125.

First, let's simplify the square roots by factoring out squares from under the radical:

√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5

Now let's substitute these simplified forms back into the original equation and simplify:

-2(2√5) - 5√5 = -4√5 - 5√5

Combine like terms to get the final simplified result:

-9√5

complete question given below:

simplify -2 square root 20- square root 125

Angie wants to purchase mulch for her tulip garden. The dimensions of her garden are 6 feet by 8 feet. If mulch is sold by the square yard, determine how many square yards of mulch she must purchase and how much it costs. The price of the mulch is 1.50 per square yard.

Answers

Answer:

72 dollars

Step-by-step explanation:

Doug makes a parallelogram-shape sign for his shop.

What is the area of this parallelogram?

Round to the nearest hundredth.


A. 5.32 ft²

B. 8.96 ft²

C. 14.28 ft²

D. 17.02 ft²
Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B and is connected to point D by a dotted line. Point F is on side DC and connected to B by a dotted line. Angle D E B and angle F B E are right angles. A E and F C are 1.9 feet each. E B is 3.2 feet. F B is 2.8 feet.

Answers

Answer:

14.28 ft squared

Step-by-step explanation:

The formula for the area of a parallelogram is base times height.

Add 3.2 to 1.9 to get the base, and 2.8 is the height.

(3.2 + 1.9) x 2.8

5.1 x 2.8 = 14.28

14.28

What is 4/9 as a decimal

Answers

Answer:

0.4 and alot of other 4's

Step-by-step explanation:

Answer:

.44444444 repeating

Any number less than 9 over 9 will be itself forever after a decimal point

Step-by-step explanation:

A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested

Answers

Answer:

1600

Step-by-step explanation:

Assuming $6.25 is the interest earned annually,

Let n be the no. of years

Then,

6.25 × n = 10000

n = 10000/6.25

n = 1600

What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7

Answers

Final answer:

The solution shown is incorrect because the equation is not simplified before performing operations.

Explanation:

The solution shown is incorrect. Let's go step by step to find the error:

Step One: -5m - 16 = 19

Step Two: 5m - 16 + 16 = 19 + 16

Step Three: 5m = 35

Step Four: Divide both sides by 5: m = 7

The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.

Therefore, the correct solution is m = 7.

Final answer:

The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.

Explanation:

The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.

Step One

Add 16 to both sides of the equation to eliminate the -16:

-5m - 16 + 16 = 19 + 16

-5m = 35

Step Two

Divide both sides by -5 to solve for m:

-5m / -5 = 35 / -5

m = -7

The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.

Substitute x+3y=4
2x-6y=8

Answers

Answer:

x=4, y=0. (4, 0).

Step-by-step explanation:

x+3y=4

2x-6y=8

------------

x=4-3y

2(4-3y)-6y=8

8-6y-6y=8

8-12y=8

12y=8-8

12y=0

y=0/12

y=0

x+3(0)=4

x+0=4

x=4-0

x=4

Name the property the equation illustrates.
-4x-1/4=1

Answers

Answer:

Distrbutive Property

Step-by-step explanation:

Final answer:

The equation -4x - 1/4 = 1 illustrates the addition property of equality.

Explanation:

The property illustrated by the equation -4x - 1/4 = 1 is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality of the equation is maintained. To isolate the variable, we need to get rid of the constant term (-1/4) on the left side of the equation by adding 1/4 to both sides. This simplifies the equation to -4x = 1 + 1/4. Then, divide both sides by -4 to solve for x.

Learn more about Addition property of equality here:

https://brainly.com/question/32709179

#SPJ2

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8. What is the equation of the line in slope-intercept form?

Answers

y = 2x + 8 is the equation of line in slope intercept form

Solution:

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)

To find:  Equation of the line in slope - intercept form

The equation of line in slope intercept form is:

y = mx + c ------ eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Find the slope of line

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex](x_1, y_1) = (-5, -2)\\\\(x_2, y_2) = (3, 14)[/tex]

Therefore,

[tex]m = \frac{14-(-2)}{3-(-5)}\\\\m = \frac{14+2}{3+5}\\\\m = \frac{16}{8}\\\\m = 2[/tex]

Thus slope of line is 2

Find the y intercept:

Substitute m = 2 and (x, y) = (-5, -2) in eqn 1

-2 = 2(-5) + c

-2 = -10 + c

c = -2 + 10

c = 8

Thus the equation of line is:

Substitute c = 8 and m = 2 in eqn 1

y = 2x + 8

Thus the equation of line is found

Answer:

the answer is y=2x+8

Step-by-step explanation:

d - 10 - 2d + 7 = 8 + d - 10 - 30

Answers

D= 14.5 I promise dawg

Answer:

[tex]d=14.5[/tex]

Step-by-step explanation:

Given equation:

         [tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]

To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.

         [tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]

                 [tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]

On, solving the equation the value of 'd' is [tex]d=14.5[/tex]

(-4.7)^0 Does anyone have the answers to the Exponents and Exponential Functions Unit test

Answers

The answer to (-4.7)⁰ is 1

How to solve the exponent

We have a rule of thumb that Any non-zero number raised to the power of 0 is equal to 1.

This is a fundamental rule in mathematics and is consistent across all real numbers.

So, when you have (-4.7)⁰, you're essentially raising the number -4.7 to the power of 0.

Even though -4.7 is negative, it's still a non-zero number. Therefore, according to the rule, (-4.7)⁰ equals 1.

What is the answer to 4•4+4(5-2)+7

Answers

Answer:

35

Step-by-step explanation:

4 x 4+4(5-2)+7

4 x 4+4(3)+7

16+12+7

28+7

35

What value of r makes the equation true
2(3r + 11) = (7r - 3r)

Answers

Answer:

r=-11

Step-by-step explanation:

Solve for r:

2 (3 r + 11) = 7 r - 3 r

7 r - 3 r = 4 r:

2 (3 r + 11) = 4 r

Expand out terms of the left hand side:

6 r + 22 = 4 r

Subtract 4 r from both sides:

(6 r - 4 r) + 22 = 4 r - 4 r

6 r - 4 r = 2 r:

2 r + 22 = 4 r - 4 r

4 r - 4 r = 0:

2 r + 22 = 0

Subtract 22 from both sides:

2 r + (22 - 22) = -22

22 - 22 = 0:

2 r = -22

Divide both sides of 2 r = -22 by 2:

(2 r)/2 = (-22)/2

2/2 = 1:

r = (-22)/2

2 | 1 | 1

| 2 | 2

- | 2 |  

| | 2

| - | 2

| | 0:

Answer: r = -11

Find the missing side length of S

Answers

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]

What is the scale factor on the map (10 points

Answers

Answer:

2785

Step-by-step explanation:

You received an order for a 28-day supply for Propranolol HCI 120mg tablets po q.i.d. to prevent post M I reinfection How many tablets will be dispensed for the 28-day supply?

Answers

112 tablets will be dispensed for the 28-day supply.

Step-by-step explanation:

Given:

Received an order of 120 mg tablet po q.i.d. for a 28-day supply.

Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.

In medical prescription, the term 'po' refers the treatment that should be taken orally. i.e. by opening mouth or the way of openingIn medical prescription, the term 'q.i.d' refers four times in a day.

Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,

[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]

tablets to be dispensed for the 28-day supply = 112 tablets.

The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?

Answers

First, let's write what the question says in equation form:

(The length of a rectangle is 2 units more than the width)
L = w + 2

(The area is 63 units)
L * w = 63

Since we already know the value of L ('w + 2'), we can simply input that into the equation to solve for area:

L * w = 63
(w + 2) * w = 63

w^2 + 2w = 63
Subtract both sides by 63:

w^2 + 2w - 63 = 0
Factor:
(w + 9)(w - 7) = 0

We get two answers:
{-9, 7}
Since the width can't be negative, the only possible answer is 7.

w = 7

We can input 'w' into the first equation:
L = 7 + 2
L = 9

The width is 7 units, and the length is 9 units,

-T.B.

Answer:

the width is 7. i just did this in deltamath

Step-by-step explanation:

Can someone please answer this question please answer it correctly please show work please

Answers

Answer:

3)  A

4)  D

Step-by-step explanation:

3)

Find any four points where y intersects with x on graph A

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

Find the relationship(s) between x and y

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

x = -2y       x = -2y        x = -2y           x = -2y

It is shown that there is a direct proportional relationship between x and y, (x = -2y)

Repeat for graphs B, C, and D

Find any four points where y intersects with x on graph B

(3 , 2)           (5 , 4)          (-3 , -4)              (-4 , -5)

Find the relationship(s) between x and y    

x = 1.5y         x =  1.25y       x =  0.75y       x =  0.8y

As you can see, there is not a constant direct proportional relationship between x and y. B is not the correct answer

Graph C

Find any four points where y intersects with x on graph C

(-5 , -3)         (-1 , -3)      (1 , -3)          (5 , -3)

Find the relationship(s) between x and y    

x = 1.67y    x = 0.3y   x = -0.3y        x = -1.67y

Once again, there is not a constant direct proportional relationship between x and y, so C is not the correct answer

Graph D

Find any four points where y intersects with x on graph D

(2 , 1)      (2 , 2)      (2 , 3)          (2 , 4)

Find the relationship(s) between x and y    

x = 2y    x = y      x = 0.67y     x = .5y

There is no direct constant relationship between x and y in this graph either.

Graph A is the only graph with a direct proportional relationship between x and y.

4) Allison wants to know whom seventh-grade students will vote for in the upcoming class president election.

A) Every member of the student council

Asking every member of the student council who they are voting for will not help Allison, because it is likely that there are multiple grades involved in the student council, when Allison just wants to know the opinions of seventh-graders. The student council also might have a different opinion than the general seventh-graders.

B) All 12 girls in Allison's homeroom class

It is likely that the girls at Allison's school have a very different opinion than the boys at her school, making this a bad data set.

C) Every tenth student who arrives at school on Monday

Allison only want to know the opinions of seventh-graders, not every tenth student at her school, which would consist of more than seventh-graders.

D) Every tenth name on a roster of all of the seventh-graders at the school

This data set would be the most useful to Allison because it is multi-gender, only seventh-grade, and consists of the general seventh-graders (not part of a special group).

D

Hope this helps :)

use the completing the square method to solve the equation x^2 + 16x + 2.

Answers

x = - 0.12 or - 15.87

Step-by-step explanation:

Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex]                     So, [tex]x^{2} +16x+64 = 62[/tex]   [tex]ie, (x+8)^{2} = 62[/tex]  Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex]               So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]  

Therefore, [tex]x = -0.12, -15.87[/tex]

I had 20 dollars and earned 15, leaving me with 35. What is the percent that it increased in pay?

Answers

Answer:

42.8%

Step-by-step explanation:

I asked Alexa lol

Answer:

The answer is 40%

Step By Step Explanation:

The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%

Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?

Answers

she needs to be driving at 56 mph

Answer:

56 per hour

Step-by-step explanation:

168 divided by 3

Other Questions
If Jesse bikes 3.2 kilometers in 2 hours. What is his rate Oscar is a real estate entrepreneur in a country that promotes the individual right to own property, earn profits, make decisions about business operations, and choose productivity systems. Which system best describes Oscar's business environment? 12. Find 120% of 18. Show your work. Escoge la conjugacin verbal correctaYo_muchas fotos en mi viaje.saquesagesacesacue Which of the following is true about the differences between men and women's speech? a. Women tend to talk significantly more than men. b. Women tend to speak with less forcefulness than men. c. Women are more likely to speak about impersonal matters than men. d. Women tend to speak longer than men (engage in monologues). 2 QuestionType the correct answer in the box. Use numerals instead of words. If necessary, used for the fraction bar.Geno is a running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lose Iyard nice andgained 6 yards twice.The net change in Geno's field position isyards!UmSubmit Assume December 31 is a Wednesday. Weld-Rite Companys wages are paid every Friday, and the weekly payroll (for five days) amounts to $6,000. To record the correct amount of expense for December, Weld-Rite makes the following entry on December 31: __________________________. Simplify.-4 (3-1) + 2enter your answer below True or False? When a tsunami reaches a coastal area, it is always represented by a single rapid surge of water toward the shore, resembling a suddenly occurring high tide (which is why they are misnamed "tidal waves"). What is the formula for the equation of a straigth line Ajar contains 12 caramels, 7 mints and 16dark chocolates. What is the probability ofselecting a mint expressed as a fraction? Marks learning style is 'hands-on'. He prefers to take a practical, experiential approach and he wants to concretely experience anything he is learning. He tends to be a risk taker, as well. What would Marks learning style be according to the Kolb Learning Style Inventory? The Neo-Confucian thinker Wang Yangming's focus on moral individualism bore some resemblance to which contemporary Western European theologian's view that individuals could seek salvation by "faith alone" without the assistance of a priestly hierarchy? A cabin cruiser traveling with the current went 12 mi in 1 h. Traveling against the current, it took 2 h to go the same distance. Find the rate of the cabin cruiser in calm water and the rate of the current A solution is made by dissolving 5.61 g of a new polymer in enough water to make 260 mL of solution. At 25.0 oC, the osmotic pressure of the solution is 0.174 atm. What is the molar mass of the polymer in g/mol? a diesel train left berlin and traveled north at an average speed of 25 km/h. A cattle train left at the same time and traveled in the opposite direction with an average speed of 35 km/h. Find the number of hours the cattle train needs to travel before the trains are 600 km apart. can germs live in cold weather 1.A telescope is a tool that helps people observe distant objects. In the simplest telescope design, incoming light hits a lens and is focused to a single point. This focused image is then magnified by a second lens so that it is roughly the same size as an observer's pupil. Which of the following wave behaviors plays the most important role in the functioning of this type of telescope?Group of answer choicesreflectionresonancerefractioninterference2.Pick the THREE statements that describe convex lenses.Group of answer choicesThey make the image of an object appear smaller.Light rays spread out as they exit the lens.They are thicker in the middle than at the endsThey make the image of an object appear larger.They are thicker at the ends than in the middle.Light rays converge as they exit the lens. A jetliner, traveling northward, is landing with a speed of 70.9 m/s. Once the jet touches down, it has 727 m of runway in which to reduce its speed to 14.0 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive). Lisa has a home-based business making and selling scented soaps. She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. Lisa sells the soap for $10 per pound. Eventually, she will sell enough soap to cover the cost of the equipment. What will be Lisa's total sales and costs be? How much soap will that be?