Find the appropriate answer for each word problem.

a. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students is $125. What is the cost of admission for each student?

b. The school van can carry twelve passengers at a time. What is the least number of trips the van must make in order to bring 125 passengers to the same location?

c. Charlotte and her mother baked 125 cookies to give as Christmas gifts to their neighbors. If they plan to give a dozen cookies to each neighbor, how many neighbors will receive a gift?

d. Nicholas and Elaine are planning to serve cheesecake for dessert at their wedding and have purchased twelve cheesecakes. If the cheesecakes are divided evenly among the 125 wedding guests, how much cheesecake will each guest receive?

I WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer 1

Answer:

a. $10  

b. 10.46  

c. 10.46  

d. 0.096


Related Questions

Eli had mini-golf scores of -3, -4, and -3. What was his total score for the three rounds?

Answers

Answer:-10

-3+-4+-3

-3-4=-7

-7+-3=-7-3

=-10

Solve 5 (2x + 1 ) + 4 = 6 ( 3x + 2) - 7

Answers

5(2x+1)+4=6(3x+2)-7

10x+5+4=18x+12-7

10x-18x=12-7-5-4

-8x=-4 (-1)

8x=4

x=4/8 (/4)

x=1/2

Answer:

x = 1/2

Step-by-step explanation:

5(2x + 1) + 4 = 6 (3x + 2) - 7

~Simplify both sides

10x + 9 = 18x + 5

~Subtract 9 from both sides

10x = 18x - 4

~Subtract 18x to both sides

-8x = -4

~Divide -8 to both sides

x = 1/2

Best of Luck!

5.
A number is squared, then multiplied by 6. The result is 54. What was the number?
Answer:

Answers

Answer:

± 3

Step-by-step explanation:

let n be the number then the number squared is n² , so

6n² = 54 ( divide both sides by 6 )

n² = 9 ( take the square root of both sides )

n = ± [tex]\sqrt{9}[/tex] = ± 3

That is the number is 3 or - 3

How many sides does a regular polygon have if each interior angle measures 178°?

Answers

The number of sides of a regular polygon with an interior angle [tex]\[{178^ \circ }\][/tex] is 180.

What is the regular polygon?

A polygon is regular when all angles are equal and all sides are equal.

A regular polygon has if each interior angle.

Interior angle of given polygon =178

An exterior angle of polygon =180 −178 =2

 

The sum of exterior angles of any polygon is 360

Number of sides of a regular polygon

[tex]=\frac{360}{2}[/tex]

[tex]=180[/tex]

Therefore, The number of sides of a regular polygon is 180.

To learn more about the side of regular polygon visit:

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For 32 = 5X + 2, what is the first step in solving for X?

Answers

Answer:

-2 from both sides

Step-by-step explanation:

32=5x+2

-2        -2

________

30=5x

__=__

5      5

6=x

The first step to solve for X is to use subtraction property of equality to subtract 2 from both sides.

How to solve algebraic equations?

We are given the algebraic equation;

32 = 5X + 2

The first step to solve for X is to use subtraction property of equality to subtract 2 from both sides to get;

32 - 2 = 5X + 2 - 2

30 = 5X

Divide both sides by 5 using division property of equality to get;

X = 6

Read more about Algebraic Equations at; https://brainly.com/question/16863577

#SPJ6

Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5. What are the coordinates of point ?
Select and drag a number to each empty box to correctly complete the coordinates of point
The coordinates of point C are?

Answers

9514 1404 393

Answer:

  C(-1, -4)

Step-by-step explanation:

We want ...

  AC/CB = 1/5

  5(C-A) = B-C . . . . multiply by 5CB

  6C = B +5A . . . . . add 5A-C

  C = (B +5A)/6 . . . divide by 6

  C = ((4, 6) +5(-2,-6))/6 = (4-10,6-30)/6 = (-6, -24)/6

  C = (-1, -4)

write an absolute value equations to satsify the given solution set shown on a number line -1/2 1/2 and a
Plz help fast

Answers

9514 1404 393

Answer:

  |x| = 1/2

Step-by-step explanation:

Perhaps the simplest equation is ...

  |x| = 1/2

__

You could get more elaborate:

  |2x| = 1

  3 -|6x| = 0

You can often use geometric figures to model objects in the real world. You can transfer your knowledge of the properties of these figures to better understand and describe the objects that they represent. For each shape the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences, the Internet, newspapers, magazines, or other resources to uncover examples.

Answers

Geometric figures are basically figures that have a boundary. The geometric figures and their real life examples are:

Rectangular prism: Building block, Gift box, CabinetTriangular prism: Tomblerone, Triangular roofs, Camping tentsCylinder: Pencil holders, Toilet paper rolls, Drink cansCone: Funnel, Party hat, Traffic conePyramid: Pyramids of Egypt, Pyramid roof, Pyramid tentsSphere: Soccer ball, Golf ball, Planets

To determine the real life object of each geometric figure, we simply identify objects that have similar features as the geometric figure.

For instance, a rectangular prism has 6 rectangular faces; building blocks, some gift box and cabinets also have 6 rectangular faces.

So, these three real life objects can be used as examples of a rectangular prism.

When the above explanation is applied to the other geometric figures, we come up with the following list:

Triangular prism: Tomblerone, Triangular roofs, Camping tentsCylinder: Pencil holders, Toilet paper rolls, Drink cansCone: Funnel, Party hat, Traffic conePyramid: Pyramids of Egypt, Pyramid roof, Pyramid tentsSphere: Soccer ball, Golf ball, Planets

Read more about geometric figures at:

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In the photo are a couple possible answers you could use.

A parallel plate capacitor has an area of ​​1.5 cm
2
and the plates are separated a distance of 2.0 mm with air between them. How much charge does this capacitor store when connected to a 12V battery?

Answers

Step-by-step explanation:

Given:

[tex]A=1.5\:\text{cm}^2×\left(\frac{1\:\text{m}^2}{10^4\:\text{cm}^2}\right)=1.5×10^{-4}\:\text{m}^2[/tex]

[tex]d = 2.0\:\text{mm} = 2.0×10^{-3}\:\text{mm}[/tex]

The charge stored in a capacitor is given by [tex]Q = CV.[/tex] In the case of a parallel-plate capacitor, its capacitance C is given by

[tex]C = \epsilon_0\dfrac{A}{d}[/tex]

where [tex]\epsilon_0[/tex] = permittivity of free space. The amount of charge stored in the capacitor is then

[tex]Q = \left(\epsilon_0\dfrac{A}{d}\right)V[/tex]

[tex]\:\:\:\:\:=\left[\dfrac{(8.85×10^{-12}\:\text{F/m})(1.5×10^{-4}\:\text{m}^2)}{(2.0×10^{-3}\:\text{m})}\right](12\:\text{V})[/tex]

[tex]\:\:\:\:\:=8.0×10^{-12}\:\text{C}[/tex]

help fast I'm dum
and I'm sorry if I keep spamming this.


Curtis types 48 words in 1 minute how many words does Curtis type in 8 minutes? use the following equivalent rates to help solve the problem. how many words does Curtis type in 8 minutes? ​

Answers

Answer:

384

Step-by-step explanation:

Answer:

384 words

Step-by-step explanation:

Number of words typed in 1 minute = 48

So, number of words typed in 8 minutes

= Number of words typed in 1 minute × 8

= 48 × 8

= 384

So, Curtis types 384 words in 8 minutes.

Find formulas for​ X, Y, and Z in terms of​ A, B, and C. It may be necessary to make assumptions about the size of a matrix in order to produce a formula.​
[A B C 0] [1 0 X Y] = [0 1 Z 0]
Find the formulas for​ X, Y, and Z. Note that I represents the identity matrix and 0 represents the zero matrix.

Answers

Answer:

Here the answer is given as follows,

Identify the coordinates of the point shown. An image of a coordinate plane with one point plotted. It is 3 units to the left of the y-axis and 6 units below the x-axis. Question 23 options: (−6, 3) (−6, −3) (−3, −6) (3, −6)

Answers

Answer:

(-3, -6)

Step-by-step explanation:

always start from the origin! Hope this helps!

Karen is having a party. She'll have 4 tables for every 12 guests. Complete the table below showing the number of tables and the number of guests.​

Answers

12/4 is 3/1 so 3x5 is 15 and 1x 5 5 so it’ll be 15/5 and 21/7 24/8 and 30/10

solve for x please help ! (show work)

Answers

Answer:

x = 1

Step-by-step explanation:

-2x + 8x + 3 - 7 = 2

Combine like terms

-2x + 8x = 6x

3 - 7 = -4

We now have

6x - 4 = 2

Add 4 to both sides

6x - 4 + 4 = 2 + 4

6x = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Answer:

x = 1

Step-by-step explanation:

-2x + 8x + 3 - 7 = 2

Step 1. Combine like terms (by adding -2x + 8x)

6x + 3 - 7 = 2

Step 2. Subtract 3 - 7

6x - 4 = 2

Step 3. Add 4 to both sides

6x = 6

Step 4. Solve for x

x = 1

A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce. The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)

Answers

Answer:

The company should use a mean of 12.37 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.

This means that [tex]\sigma = 0.17[/tex]

The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?

This is [tex]\mu[/tex], considering that when [tex]X = 12[/tex], Z has a p-value of [tex]1 - 0.985 = 0.015[/tex], so when [tex]X = 12, Z = -2.17[/tex].

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.17 = \frac{12 - \mu}{0.17}[/tex]

[tex]12 - \mu = -2.17*0.17[/tex]

[tex]\mu = 12 + 2.17*0.17[/tex]

[tex]\mu = 12.37[/tex]

The company should use a mean of 12.37 ounces.

find the value of x in 81^x=1/3?​

Answers

Answer:

x = -1/4

Step-by-step explanation:

[tex]81^{x}[/tex] = 1/3

[tex]3^{4}^{x}[/tex] = [tex]3^{-1}[/tex]

4x = -1

x = -1/4

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]81^{x}[/tex] = [tex]\frac{1}{3}[/tex] [ note that 81 = [tex]3^{4}[/tex] ] , then

[tex](3^4)^{x}[/tex] = [tex]3^{-1}[/tex] , that is

[tex]3^{4x}[/tex] = [tex]3^{-1}[/tex]

Since the bases on both sides are equal, both 3, then equate exponents

4x = - 1 ( divide both sides by 4 )

x = - [tex]\frac{1}{4}[/tex]

Mark earns $47,800 a year working for a delivery service. He is single and pays $2,152.60 in state income tax each year. He claims no dependents. What is the tax rate of Mark’s state he lives in?

Answers

Answer:

4.5%

Step-by-step explanation:

The tax rate=(2152.6/47800)*100=4.5%

Help please! Also please show the steps of how you got the answer!
30% of 40% of 15

Answers

Answer:

1.8

Step-by-step explanation:

First, find 40% of 15:

15(0.4)

= 6

Next, find 30% of this:

6(0.3)

= 1.8

So, the answer is 1.8

Student is 19 years old in the world has a population of 6.7 billion assuming that the population continues to grow in annual rate of 1.1%, predict what the worlds population will be when the student is 52

Answers

9514 1404 393

Answer:

  9.6 billion

Step-by-step explanation:

The population multiplier is 1+1.1% = 1.011 each year. After 52-19 = 33 years, the multiplier will be 1.011^33 ≈ 1.4348.

When the student is 52, the population of the world will be about ...

  6.7 billion × 1.4348 ≈ 9.6 billion

How do I graph x+3y≥12?

Answers

Here is the graph for the equation

hola soy nuevo, y quisiera saber como funciona brainly.com, porque yo siempre e utilizado brainly.lat, pero me e cambiado para este.

Answers

Answer/Step-by-step explanation:

Hola amigo. Mucho gusto. En Brainly.com puede responder a sus preguntas y obtener explicaciones exhaustivas. Esto le permite aprender de forma más inteligente.

Y... yo hablo pequeno español.

What is the slope of a relation with ordered pairs of (-5, 3) and (4.1).

9/2
2/9
-9/2
-2/9
2
-2

Answers

3-1 /-5-4
2/-9
-2/9 is the answer

which expression is equivalent to c^2 - 4 / c + 3 /

Answers

Step-by-step explanation:

[tex] \frac{ {c}^{2} - 4 }{c + 3} [/tex]

[tex] \frac{(c - 2)(c + 2)}{(c + 3)} [/tex]

7. A 6 litre jug of lemonade contains 1.6 litres of lemon juice and the rest is water. How much lemon juice does a 1.5 litre bottle of lemonade contain?​

Answers

Answer:

5.625 litres

Step-by-step explanation:

1. We have to find how many litres of of lemon juice does a 1 litre jug of lemonade contains :

6 litres ÷ 1.6 litres = 3.75 litres

2. How many litres of lemon juice does a 1.5 litre bottle of lemonade contain?

= 3.75 litres × 1.5 litres

= 5.625 litres #

Answer:

A 1.5 litre bottle of lemonade contains 0.4 litre of lemon juice

Step-by-step explanation

let x be the litre of lemon juice in 1.5 litre of lemonade

litre of lemon juice in 6 litre of lemonade = 1.6

so , [tex]\frac{6}{1.6} = \frac{1.5}{x}[/tex]

    x = [tex]\frac{1.5 * 1.6}{6}[/tex]

    x=[tex]\frac{2.4}{6}[/tex]

    x = 0.4 litre

what is 98×63-32×69=

Answers

Answer: plz marl brainilist

3966

Step-by-step explanation:

(98 × 63 - 32 × 69

98 * 63) - (32 * 69)

Answer:

3966

Step-by-step explanation:

98 x 63 - 32 x 69 =

Multiply

6174 - 2208

Subtract

3966

Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero.​

Answers

Answer:

Step-by-step explanation:

You have not provided the answers to choose from.

The expression can be simplified to δ⁴/a, but I cannot tell if that is one of the choices.

Use the distributive property to remove the parentheses.
I’m so bad at math so I need help :/

Answers

Answer:

27x^5 + 30x^4

Step-by-step explanation:

Multiply 3x^3 out of (9x^2 + 10x)

Step 1. Multiply 3x^3 x 9x^2

Answer: 27x^5

Step 2. Multiply 3x^3 x 10x

Answer: 30x^4

“Add these two products together”

27x^5 + 30x^4

Hope this helps!

Love you.

- doomdabomb

Someone help me!!! Help

Answers

Answer B.ED

Step-by-step explanation:

11. The coordinates of AABC are A(-1,1), B(3,3),
and C(4, -2). Find the coordinates of points A', B',
and C' under the translations that take
a. P(0,0) to Q(1,3)
b. P(0, -1) to Q(4,-2)
c. P(-1,-2) to Q(-2,2)

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]A = (-1,1)[/tex]

[tex]B = (3,3)[/tex]

[tex]C =(4,-2)[/tex]

Solving (a): [tex]P(0,0) \to Q(1,3)[/tex]

This means that:

[tex](x,y) \to (x+1,y+2)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1 + 1,1+2)[/tex]

[tex]A' = (0,3)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3 + 1,3+2)[/tex]

[tex]B'= (4,5)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C' = (4+1,-2+1)[/tex]

[tex]C' = (5,-1)[/tex]

Solving (b): [tex]P(0,-1) \to Q(4,-2)[/tex]

This means that:

[tex](x,y) \to (x+4,y-1)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1+4,1-1)[/tex]

[tex]A' = (3,0)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3+4,3-1)[/tex]

[tex]B'= (7,2)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C' = (4+4,-2-1)[/tex]

[tex]C' = (8,-3)[/tex]

Solving (c): [tex]P(-1,-2) \to Q(-2,-2)[/tex]

This means that:

[tex](x,y) \to (x-1,y)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1-1,1)[/tex]

[tex]A' = (-2,1)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3-1,3)[/tex]

[tex]B'= (2,3)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C'= (4-1,-2)[/tex]

[tex]C'= (3,-2)[/tex]

A fisheries biologist has been studying horseshoe crabs. She has sampled 100 horseshoe crabs and recorded their weight (in kilograms) and width (in centimeters). The proposed regression equation is
where the deviations ε i are assumed to be independent and Normally distributed with mean 0 and standard deviation σ . This model was fit to the data using the method of least squares. The following results were obtained from statistical software:
R 2 =0.423, s=2.2018
The quantity s = 2.2018 is an estimate of the standard deviation, σ, of the deviations in the simple linear regression model. The degrees of freedom for s are
a.) 100
b.) 99
c.) 98
d.) 2

Answers

Answer:

C. 98

Step-by-step explanation:

The proposed regression equation is weight = b + width * m

R2 = 0.423

A.) What is the regression equation for this example?

The estimate for the y-intercepts is b= 2.3013 and the estimate for the slope is m= 0.7963

In general, we can symbolize the estimated regression equation as ^Y= b + m*Xi. For this example you have to replace it with the calculated values of the regression coefficients to obtain the estimated regression equation:

^Y= 2.3013 + 0.7963Xi

B.) What is the explanatory, or predictor, variable in this study?

The explanatory or predictor variable is the variable that is suspected to have an effect over the response variable. In this example the predictor variable is:

X: Width of a horseshoe crab (cm)

C.) If the researcher wanted to test whether there is a statistically significant relationship between these two variables, what would the test statistic be? Calculate it from the table above.

To test if the regression is significant, the parameter of study will be the slope of the regression equation, symbolically: β. If the slope is equal to zero "β=0" then there is no linear regression between the response and explanatory variable. If the slope is different from zero "β≠0" then the regression is significant and the explanatory variable affects the response variable.

The hypotheses are:

H₀: β=0

H₁: β≠0

α: 0.05

The value of the statistic under the null hypothesis is t= 8.48

D.) What can we say about the p-value?

This test is two-tailed and so is the p-value, remember that the p-value is the probabulity of obtaining a value as extreme as the value of the statistic under the null hypothesis. The distribution for this test is a t with n-2= 100-2= 98 degrees of freedom. You can calculate the p-value as:

P(t₉₈≤-8.48) + P(t₉₈≥8.48)= P(t₉₈ ≤ -8.48) + (1 - P(t₉₈ < 8.48) ≅ 0.00001

E.) Ultimately, the reason that we find test statistics is so that we can compare them to a null distribution. For regression, that is a t-distribution based on the degrees of freedom. With 98 degrees of freedom (100-2), we can safely say that the critical t (or the confidence multiplier) is what?

As mentioned before, this test is two tailed, meaning that the rejection region is divided in two:

Critical values ± = ± = ± 1.984

This means that you'll reject the null hypothesis when the statistic is t ≤ -1.984 or if the statistic is t ≥ 1.984-

F.) Find the confidence interval for the slope.

Using a 95% confidence level, the interval for the slope is:

[m ± Sm]

[0.7963 ± 1.984 * 0.0939]

[0.61; 0.98]

G.) Is there a statistically significant relationship? Answer with the test statistic and the confidence interval.

Yes, there is a significant relationship between the width and weight of the horseshoe crabs.

Using the critical value approach:

The calculated statistic is 8.48 and the critical value is ± 1.984, since the statistic is greater than the positive critical value, the decision is to reject the null hypothesis.

If you pay attention to the confidence interval, which was made at a confidence level complementary to the significance level of the hypothesis test, this interval [0.61; 0.98] doesn't include the "zero". Since the interval doesn't include the value of the parameter stated in the null hypothesis, you can conclude that this hypothesis is not true and therefore reject it.

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What is the equation of the line represented by the table below?-2-1012 y161161-4O A. y = -5x+9B. y = -3x - 5O C. y = -5x + 3D. y = -5x + 6 what is Thomas Paine's tone in "The Crisis, No. 1"? Imagine youre on a camping trip with a group of friends. One friend (played by your partner) pulls a bottle of liquor out of a backpack and starts to pass it. Your entire group of friends drinks from the bottle before passing it to you. Begin your dialogue with your friend by assertively refusing the drink. You may explain your refusal in any way that makes the most sense to you. Your friend should then respond by trying to persuade you. Continue this role-playing until each of you has had a few opportunities to speak. The average weight of a professional football player in 2009 was pounds. Assume the population standard deviation is pounds. A random sample of professional football players was selected. Required:a. Calculate the standard error of the mean.b. What is the probability that the sample mean will be less than 230 pounds?c. What is the probability that the sample mean will be more than 231 pounds?d. What is the probability that the sample mean will be between 248 pounds and 255 pounds? i need help in biology questions please G10? Answer all 1) 4x*3x 2) 2/3+ 1/4 How many moles of Ba(OH)2 are present in 205 mL of 0.600 M Ba(OH)2? The predominant consequence to an individual who is genetically deficient in liver fructose 1,6-bisphosphatase would beA. Inability to metabolize fructose.B. a lowered yield of ATP production per mole of glucose metabolized.C. a failure to split fructose bisphosphate into triose phosphates.D. a failure to resynthesize glucose from lactic acid. describe the concept of development in brief Nadia is ordering cheesecake at a restaurant, and the server tells her that she can have up to five toppings: caramel, whipped cream, butterscotch sauce, strawberries, and hot fudge. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge List the three ways in which humans interact with their environment.a.b.C. The area of rectangle is 36 cm2 and breadth is one fourth of the length.Find length and breadth of rectangle. In 25 words or fewer, define ethics.Type answer here...Word Count: 25 The equation of a line is (3)/(5)x+(1)/(3)y=(1)/(15) . The x-intercept of the line is , and its y-intercept is . What is the measure of cartoon analysis in an essay format Consider this statement about the theme of this myth:What appears to be a problem may actually be a benefit.Click or tap ONE set of underlined sentences on page 1 or 2 that provides support for this theme. Classify the descriptions as pertaining to nucleosides, nucleotides, or both nucleosides and nucleotides. a. Do not contain a phosphate group b. The product when a base bonds to carbon 1 of ribose or deoxyribose c. Contain a base and a monosaccharide monosaccharide, and a phosphate group what system is an economic system in which private individuals, not the government, make decisions about where to invest resources, how to produce goods, and what goods to buy and Associates, a law firm, paid $30000 for 12 months' rent in advance on October 1 of the current year. The company's fiscal year-end is December 31. Prepare the journal entries for the rent payment on October 1 and the necessary adjusting journal entry on December 31. Omit explanations