HELP!! 13 POINTS OFFERED

HELP!! 13 POINTS OFFERED

Answers

Answer 1
15=5
•140=140
x+140=180
x=40
Answering is A

Related Questions

Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0

Answers

The answer is P=3s-5000

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

11. Through (-3,-5), perpendicular to -2x - 5y = -19

A. y=2/5x+2/5 B. y=3/5x-19/5 C. y=-5/2x+5/2 D. y=5/2x+5/2


12. Through (-8,1), parallel to -8x + 5y = 89

A. y=-8/5x-69/5 B. y=8/5x+69/5 C. y=8/5x-89/5 B. 5/8x-1/8


14. Through (-8,1), perpendicular to -5x + 9y = 49

A. y=-9/5x-67/5 B. y=-9/5x C. y=-5/9x-67 D.y=9/5x+67/5

Answers

Answer:

11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5

Step-by-step explanation:

11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-2\cdot x - 5\cdot y = -19[/tex]

[tex]2\cdot x +5\cdot y = 19[/tex]

[tex]5\cdot y = 19 - 2\cdot x[/tex]

[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]

The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]

[tex]m_{\perp} = \frac{5}{2}[/tex]

If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:

[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]

[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]

[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]

The right answer is D.

12) The function of the parallel line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\parallel}[/tex] - Slope, dimensionless.

Its slope is the slope of the given, which must be transformed into its explicitive form:

[tex]-8\cdot x + 5\cdot y = 89[/tex]

[tex]5\cdot y = 89 +8\cdot x[/tex]

[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]

The slope of the parallel line is [tex]\frac{8}{5}[/tex].

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:

[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]

[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]

The correct answer is B.

14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-5\cdot x +9\cdot y = 49[/tex]

[tex]9\cdot y = 49+5\cdot x[/tex]

[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]

The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]

[tex]m_{\perp} = -\frac{9}{5}[/tex]

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:

[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]

[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]

The correct answer is A.

Find all possible values of the expression 1/y if: .125

Answers

Answer:

The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range

4 < 1/y < 8

Step-by-step explanation:

The given information are;

The range of values of y are 0.125 < y < 0.25, therefore, we have;

The boundaries of the function, y are 0.125 and 0.25

The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4

Therefore;

The limits of the inverse of the function y are ;

The inequality that represents 1/y is therefore;

1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8

The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;

4 < 1/y < 8.

A sequence of numbers consists of natural numbers that are
not perfect squares. What is the 1000th member of this
sequence?

Answers

Given :

A sequence of numbers consists of natural numbers that are

not perfect squares.

To Find :

The 1000th member of this  sequence .

Solution :

Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .

So , there are 31 numbers before 1000 which are perfect square .

Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .

Also , the first perfect square after 1000 is 32 .

So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.

Therefore , the 1000th member of this  sequence is 1032 .

Hence , this is the required solution .

2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!

Answers

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!

Answers

Answer:

only a

Step-by-step explanation:

Answer: The answer would be B

Step-by-step explanation:

Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[

Answers

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

the weights of students in a junior college are normally distributed with a mean of 100 lbs. and a standard deviation of 18 lbs. What is the probability that a student drawn at random will weigh less than 150 lbs

Answers

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]

Hence, the e=required probability is 0.9973 .

whats bigger 0.32 or 1/4??

Answers

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

can I get brainliest

Answer:

0.32

Step-by-step explanation:

Its bigger because if you turn 1/4 into a fraction it's 0.25

Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3

Answers

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

sin60=x/8
Sqrt (3/4)=x/8
Sqrt 4= 2
Times each side with 8
x=4sqrt(3)

Hope this can help.

Write an equation to represent each situation. a) Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. b) Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays c dollars. c) Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.

Answers

Answer:

A) $4.99b = $14.95

B) $4.99p = $c

C) $qd = $t

Step-by-step explanation:

A) We are told that cost of blueberries is $4.99 a pound.

Now, Diego buys b pounds of blueberries and pays $14.95.

Since 1 pound costs $4.99, then b pounds will cost $4.99b

Since he paid $14.95, then the equation is;

$4.99b = $14.95

B) We are told that cost of blueberries is $4.99 a pound.

Now, Jada buys p pounds of blueberries and pays $c.

Since 1 pound costs $4.99, then p pounds will cost $4.99p

Since he paid $c, then the equation is;

$4.99p = $c

C) We are told that cost of blueberries is $d a pound.

Now, Lin buys q pounds of blueberries and pays $t.

Since 1 pound costs $d, then q pounds will cost $qd

Since he paid $t, then the equation is;

$qd = $t

what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x

Answers

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.

Answers

Answer:

1452.9

Step-by-step explanation:

Lin makes a line plot to show the data in the table. He places one dot above the 2 on the scale .How many dots should he place above the 3

Answers

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

6(y + 3) = 30


(ignore this i8)

Answers

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

I guess I'll ignore it then and not answer. The other person answered this very well.

If one leg of a right triangle is 6 cm long, and the other leg is 8 cm long, how long is the triangles hypotenuse?!!

Answers

Answer:

approximately 9

Step-by-step explanation:

6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9

Answer:

10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

6
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations:
Reflection over the y-axis and rotation at 180 degrees around the origin. *
(2 points)
Enter your answer
Please and thank you

Answers

Answer:

R(-2,-1)

S(-1,-5)

T(2,-3)

Step-by-step explanation:

First, you flip all coordinates to their exact points, just of the other side of the y-axis.

Then, you just gotta graph it and rotate it 180* around the origin.

this is the second question I don't undrstand​

Answers

Answer:

[tex]d=\sqrt{58}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the length of AB:

[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(7)^2+(3)^2}[/tex]

[tex]d=\sqrt{49+9}[/tex]

[tex]d=\sqrt{58}[/tex]

D= __
/58
I’m not sure I’m just a high schooler sooo I hope it helps

can you please tell me the ans of my questions. the right ans with the process ​

Answers

Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

What is the difference between the high and low temp in the thermometer?

Answers

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

Given h(t) = t2+t+ 12 and k(t) = V1-1, evaluate (ko h)(10).
O 11
0 24
O 122
366

Answers

Answer:

A-11

Step-by-step explanation:

Correct on EDGE

The value of the function k(h(10)) will be 11. The correct option is A.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

Therefore, the value of the function k(h(10)) will be 11. The correct option is A.

To know more about functions follow

https://brainly.com/question/20384115

#SPJ2

foil (3x-5)(x+6) need the answer ASAP

Answers

Answer:

3x²+13x-30

Step-by-step explanation:

3x×x =3x²

3x×6= 18x

-5×x = -5x

-5×6=-30

Connect them together to form:

3x²+13x-30

(I got the 13x by doing 18x-5x)

I think it would be 4x+1 bc (3x-5)(x+6) 3x+x=4x. -5+6=1 so 4x+1

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50. Which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g'

Answers

Answer:

A

Step-by-step explanation:

Answer: A: (4-g) 1.5

Step-by-step explanation:

A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?

Answers

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

PLEASE HELP I HAVE 20 POINTS The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)

Answers

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

what is 36-(-30)-60+6​

Answers

Answer

The answer is 0

What is 10^5 as a decimal

Answers

Answer:

10^5=100000

Step-by-step explanation:

(-4x2)^2 / 2-9-5 how do I simplify

Answers

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

Help me please!!!!!!!!!

Answers

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

Use the protractor tool to measure the angle.


What is the measure of the angle? Enter the answer in the box.
degrees

Answers

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:          

I used the protactor and  I aligned it agaist the problem. Hope this helps. :)  

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow  pointed onto the number.  I really don't think there is much to explain. If their is any confusion i will re-write it.

Answer:

the answer for this question is 110

Other Questions
What is the value of j after this code is executed? int i = 6, int j=10; j+=i; What techniques does a comic book artist use Which type of figurative language directly equates two things? simile adaptation personification metaphorto create a strong sense of light and color? Question 1 (1 point)Doing what activity is a way in which to find "gems" in your writing?apublishing a bookbmeditatingJournalingdediting your work Totally Free objective summary Use the table to complete the work to find the missing value. Conversion Chart Pints Ounces 3 48 7 ? 30 480 3 pints 48 ounces 11 pints ? ounces How many ounces are in 11 pints? o 144 o160 o 176 o 192 27x + 45y and 7(9x + 7y) are these equivalent? Read the excerpt from Major's speech in chapter 1 of Animal Farm. "Fix your eyes on that, comrades, throughout the short remainder of your lives! And above all, pass on this message of mine to those who come after you, so that future generations shall carry on the struggle until it is victorious. "And remember, comrades, your resolution must never falter. No argument must lead you astray. Never listen when they tell you that Man and the animals have a common interest, that the prosperity of the one is the prosperity of the others. It is all lies. Man serves the interests of no creature except himself. And among us animals let there be perfect unity, perfect comradeship in the struggle. All men are enemies. All animals are comrades." Which prediction does this passage best support? A: The animals will learn that Major has purposefully lied to them. B: The animals on the farm will die as a result of human actions. C: Man and some animals will ultimately share similar goals. D: Most of the animals will refuse to pass on Majors teachings. The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector? When setting up a conversion, where does the initial unit go in the conversion factor? Employees do a better job of selling when they are happy at work. You make sure that you check in with employees frequently, addressing any of their concerns as soon as they arise.This is called__________.a. Classical Management theoryb. Humanistic Management theoryc. Contingency Theoryd. Management Science Joshua is taking notes as he goes through the Formatting Text and Paragraph lesson in the Word Application course. His notes include the bullet points below. Describes the way a line or a paragraph is tabbed or moved forward Helps text, such as quotations, to stand out Which paragraph property is Joshua taking notes on? 1.)Margin 2.) Alignment 3.)Indentation I REALLY NEED HELP PLEASE HELP ME A business function, like accounting and human resources, which moves information about people, products, and processes across the company to facilitate decision making and problem solving is called____________. Name one contrast to grimness of the Middle Ages Simplify the expression: z8 * z-3 if f(x)=4-3x*2 then f(-2) is Donna Bader, Globalization opponent Donna Bader spent her final year at college studying the effect of various economic factors on the economy of developing nations. Based on the results of her study, she concluded that globalization does these countries more harm than good. Upon what assumption does Donna's conclusion rest? Donne assumes that ________.a. there are no factors other than globalization which influence the economic conditions of a countryb. the welfare of individuals matters less than the economic prosperity of a nationc. globalization does not affect the employment rate of developed and developing countriesd. the wages paid to all individuals within developed countries are equal Which law extends accessibility and antidiscriminatory protection for individuals with disabilities into private-sector employment, transportation, state and local government activities and programs, privately operated businesses that are open to the public ("public accommodations"), and telecommunications? what are different type of plastids explain them? Zenith Consulting Co. has the following accounts in its ledger: Cash; Accounts Receivable; Supplies; Office Equipment; Accounts Payable; Common Stock; Retained Earnings; Dividends; Fees Earned; Rent Expense; Advertising Expense; Utilities Expense; Miscellaneous Expense.TransactionsMar.1 Paid rent for the month, $4,000.3 Paid advertising expense, $1,350.5 Paid cash for supplies, $1,800.6 Purchased office equipment on account, $11,500.10 Received cash from customers on account, $8,600.15 Paid creditor on account, $3,180.27 Paid cash for miscellaneous expenses, $700.30 Paid telephone bill for the month, $550.31 Fees earned and billed to customers for the month, $37,200.31 Paid electricity bill for the month, $830.31 Paid dividends, $2,000.Journalize the preceding selected transactions for March 2018 in a two-column journal. Refer to the Chart of Accounts for exact wording of account titles.CHART OF ACCOUNTSZenith Consulting Co.General LedgerASSETS11 Cash12 Accounts Receivable13 Supplies14 Office EquipmentLIABILITIES21 Accounts PayableEQUITY31 Common Stock32 Retained Earnings33 Dividends REVENUE41 Fees EarnedEXPENSES51 Rent Expense52 Advertising Expense53 Utilities Expense54 Miscellaneous Expense