Problem 1. The following information relates to Ty Ringo Co. for the year 2011.
Owner’s Capital, January 1, 2011 $ 47,000 Advertising expense $1,500
Owner’s drawings 6,000 Rent expense 9,500
Service revenue 62,500 Utilities expense 3,400
Salaries expense 29,000
Instructions
After analyzing the data, prepare an income statement and Owner’s Equity statement for the
year ending December 31, 2011

Answer:

16

Step-by-step explanation:

Answer:

The greatest common factor of 48 and 112 is 16.

Answer:

I  believe it's A)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

-3x is the rate of change, so minus 3X= -17/3

The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176

Frosting No frosting Total

sugar cookies 56 120 176

Chocolate cookie 66 70 136

Red velvet 38 50 88

Total 160 240 400

Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting

= 136 - 70

= 66

Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)

= 160 - (56 + 66)

= 160 - 122

= 38

Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting

= 50 + 38

= 88

Total cookies with no frosting = Total cookies - Total cookies with frosting

= 400 - 160

= 240

Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)

= 240 - (70 + 50)

= 240 - 120

= 120

Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting

= 120 + 56

= 176

In conclusion, the highest joint frequency is sugar cookies.

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Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

The answer is going to be A

Step-by-step explanation:

Answer:

\(\textsf{To\;add\;(or subtract)\;in\;Scientific\;Notation,\;you\;must\;have\;the\;same\;$\boxed{\sf power\;of\;10}$\:.}\\\textsf{Then\;you\;can\;$\boxed{\sf add\;or\;subtract}$\;the\;coefficients\;and\;$\boxed{\sf keep}$\;the\;power\;of\;10.}\)

\(\textsf{To\;multiply\;in\;Scientific\;Notation,\; you\;must\;$\boxed{\sf multiply}$\;the\;coefficients}\\\textsf{and\;$\boxed{\sf add}$\;the\;powers\;of\;10.}\)

\(\textsf{To\;divide\;in\;Scientific\;notation,\;you\;must\;$\boxed{\sf divide}$\;the\;coefficients}\\\textsf{and\;$\boxed{\sf subtract}$\;the\;powers\;of\;10.}\)

Step-by-step explanation:

To add (or subtract) in Scientific Notation, you must have the same power of 10. Then you can add or subtract the coefficients and keep the power of 10.

Example expression:

\(2.3 \times 10^3 +3.2 \times 10^3\)

Factor out the common term 10³:

\(\implies (2.3 +3.2) \times 10^3\)

Add the numbers:

\(\implies (5.5) \times 10^3\)

\(\implies 5.5\times 10^3\)

Therefore, we have added the coefficients and kept the power of 10.

\(\hrulefill\)

To multiply in Scientific Notation, you must multiply the coefficients and add the powers of 10.

Example expression:

\(2.3 \times 10^3 \times 3.2 \times 10^3\)

Collect like terms:

\(\implies 2.3 \times 3.2 \times 10^3 \times 10^3\)

Multiply the numbers (coefficients):

\(\implies 7.36 \times 10^3 \times 10^3\)

\(\textsf{Apply the exponent rule:} \quad a^b \cdot a^c=a^{b+c}\)

\(\implies 7.36 \times 10^{(3+3)}\)

\(\implies 7.36 \times 10^{6}\)

Therefore, we have multiplied the coefficients and added the powers of 10.

\(\hrulefill\)

To divide in Scientific notation, you must divide the coefficients and subtract the powers of 10.

Example expression:

\(\dfrac{8.6 \times 10^6}{2.15 \times 10^2}\)

Collect like terms:

\(\implies \dfrac{8.6}{2.15} \times \dfrac{10^6 }{10^2}\)

Divide the numbers (coefficients):

\(\implies 4\times \dfrac{10^6 }{10^2}\)

\(\textsf{Apply the exponent rule:} \quad \dfrac{a^b}{a^c}=a^{b-c}\)

\(\implies 4\times 10^{(6-2)}\)

\(\implies \implies 4\times 10^{4}\)

Therefore, we have divided the coefficients and subtracted the powers of 10.

This prompt has to do with the construction of lines and geometrical shapes. See the steps to constructing another line equal to AB below.

To Construct: segment RS with length equal to AB

Step 1:  Draw a work line t. Pick a point on t; call it R. Put point of compass on A and pencil on B. This distance will be the radius of an arc.

Place point of compass at R and, using radius from previous step, make an art that intersects t at S. RS is the required line segment.

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Step-by-step explanation:

When dividing by a negative number, you "flip" the inequalities sign so you would divide -20 by -2 which would leave you with 10. X is left where it is and you flip the inequalities sign to a ≥ sign.

final answer =

x ≥ 10

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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Answer:

Step-by-step explanation:

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

Answer: To find a 2 numbers that multiply to the value of C and Add to the value of b.

Step-by-step explanation: They Have to multiply to C and add to B and after that you can just continue simplifying the polynomial.

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:13.0357142857

Answer:

Y=-2/3x+6

y= 1/2x+ -1

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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The missing value of the probability distribution is 0.05.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

X     :   0         1           2        3        4

P(X) :   0.30   0.25   0.25   0.15     ?

A discrete probability distribution function has two characteristics:

P(X = 4) = 1 - (0.30 + 0.25 + 0.25 + 0.15)

Apply the addition operation,

P(X = 4) = 1 - 0.95

Apply the subtraction operation to get

P(X = 4) = 0.05

Therefore, the missing value of the probability distribution is 0.05.

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Let's begin by identifying key information given to us:

We have triangle CDE

J is the centroid

Answer:

2n²

Step-by-step explanation:

2 , 8 , 18 , 32 , 50

First difference = 6 , 10 , 14 , 18

Second difference = 4 , 4 , 4

First term(n² th term) = 4/2 = 2n²

Check:

n = 1;  2n² = 2*1 = 2

n = 2 ; 2n² = 2* 2² = 2 *4 = 8

n=3 ; 2n² = 2*3² = 2*9 = 18

Answer:

Step-by-step explanation:

Factorize the numbers:

LCM of the numbers is:

This is a maximum number of front liners.

Each will receive:

Answer:

7

Step-by-step explanation:

The median is always the middle number.

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

The equation of the perpendicular line is y = -1/3x

From the question, we have the following parameters that can be used in our computation:

y = 3x + 2

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/3

The equation of the line is then calculated as

y = mx

Where

m = -1/3

So, we have

y = -1/3x

Hence, the line has an equation of y = -1/3x

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Answer:

338

Step-by-step explanation:

I think

Part 1

Angles of a quadrilateral add to 360 degrees.

\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)

Part 2

If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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