find the value of a answers: a:15 b:14 c:19 d:16

Find The Value Of A Answers: A:15 B:14 C:19 D:16

Answers

Answer 1

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer 2

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

[tex]6a+10=3a+55[/tex]

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

[tex]6a-3a+10=3a-3a+55[/tex]

[tex](6a-3a)+10=55[/tex]

[tex]3a+10=55[/tex]

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

[tex]3a+10-10=55-10[/tex]

[tex]3a=55-10[/tex]

[tex]3a=45[/tex]

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

[tex]3a/3=45/3[/tex]

[tex]a=45/3[/tex]

[tex]a=15[/tex]

The value of a is 15 and choice A is correct.


Related Questions

Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?

Answers

No, there is no pattern of repetition.

The decimal 0.1894528 is not a repeating decimal.

What is the decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.

The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.

Therefore, the decimal 0.1894528 is not a repeating decimal.

To know more about decimal numbers follow

https://brainly.com/question/2877484

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To make a project, you need a rectangular piece of fabric
3 ft wide and 4 ft long. How many square feet of fabric do
you need?
I

Answers

Answer:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

Width x length
3ft x 4ft
= 12ft

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$

Answers

Answer:

[tex]$\[x^2 + 22x + 121\]$[/tex]

Step-by-step explanation:

Given

[tex]$\[x^2 + 22x + \underline{~~~~}.\]$[/tex]

Required

Fill in the gap

Represent the blank with k

[tex]$\[x^2 + 22x + k\]$[/tex]

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

[tex]Result = 22/2[/tex]

[tex]Result = 11[/tex]

Take the square of this result, to give k

[tex]k= 11^2[/tex]

[tex]k= 121[/tex]

Substitute 121 for k

[tex]$\[x^2 + 22x + 121\]$[/tex]

The expression can be factorized as follows;

[tex]x^2 + 11x + 11x + 121[/tex]

[tex]x(x + 11)+11(x+11)[/tex]

[tex](x+11)(x+11)[/tex]

[tex](x+11)^2[/tex]

Hence, the quadratic expression is [tex]$\[x^2 + 22x + 121\]$[/tex]

The answer would be x^2+22x+121

The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.

Answers

Answer:

184

Step-by-step explanation:

WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph

Answers

Negative Correlation - These variables point towards the left making them negative.

Positive Correlation - These variables point towards the right making them positive.

No Correlation - These variables have the same x coordinates or same y coordinates.

Hope that helped!!! k

The person at the top is right 100% :)

How would you describe the difference between the graphs of f(x) = 2x2 and
g(x) = -2x2 ?

A. g(x) is a reflection of f(x) over the line y=-1.

B. g(x) is a reflection of f(x) over the line y = x.

C. g(x) is a reflection of f(x) over the yaxis.

D. g(x) is a reflection of f(x) over the x-axis.

Answers

Answer:

D. g(x) is a reflection of f(x) over the x-axis.

Step-by-step explanation:

Given

f(x) = 2x²

g(x) = -2x²

Required

Determine the difference between f(x) and g(x)

Start by expanding g(x)

g(x) = -2x²

g(x) = -1 * 2x²

Substitute 2x² for f(x)

g(x) = -1 * f(x)

g(x) = -f(x)

Using the format (x,y):

Take for instance x = 2

f(x) = 2x² = 2 * 2² = 2 * 4 = 8

This means (x,y) = (2,8)

g(x) = -f(x)= -8

This means that (2,-8)

Notice that only the y value changed in both cases from 8 to -8

From the above expression, g(x) = -f(x) and illustration of when x = 2

This implies that g(x) is a reflection of f(x) along the x axis..

From the list of given options, the correct answer is D.

The correct answer is going to be d

What is the purpose of central ideas in a text?(1 point) to give additional information about the topic to define the topic to provide an overview of the ideas in the text to explain the most important ideas in the text

Answers

Answer:

[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]

Step-by-step explanation:

The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.

Answer:

to explain the most important ideas in the text

Step-by-step explanation:

the person above me is corrwct

What's the recursive formula of the geometric sequence below?
2, 6, 18, 54, 162, 486,...
O ay = 3; an = an-1 · (2)n-1 for n 2 2
a1 = 2; an = an-1 . (3) for n 2 2
O a1 = 2; an = an-1 • (3)n-1 for n 2 1
ay = 2; an = an-1. (2) for n 2 1

Answers

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula

for a geometric sequence.

The common ratio is 3, and 2 is the 1st

term.

Thus, we have a1=2(3)^(n-1)

Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?

Answers

Answer:

errror

Step-by-step explanation:

Error good luck buddy

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

460256

Step-by-step explanation:

35900 books equal to 7.8% of all copies sold

Total number of books:

7.8% = 35900100% = ?35900*100/7.8 ≈ 460256

Answer is 460256 in whole numbers

The answer of this is 460256

Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b

Answers

Answer: A, B and, C are incorrect, what is D?

Step-by-step explanation:

The answer to your question is D

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____

Answers

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

Answer: cannot be determined

Step-by-step explanation:

there isnt a rule SSS

What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural

Answers

Answer:

-7 is a Negative Number, which is also an integer.

Step-by-step explanation:

Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.

-7 is an integer because it is also a negative number

PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Please if anyone could answer this question. Me and my friends tried but only got headache at last. Kinda stuck in this question now.

Answers

Answer:

3/4 of the whole day(24 hours)

Step-by-step explanation:

1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16

5/8 of his waking time (16 hours ) equal to 10 hours.

now total time spent in his house 10 + 8 = 18

in fraction 18/24 = 3/4

He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)

2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake

Add 1/3 and 5/12 to get

1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4

He spent 3/4 of a whole day at home (equivalent to 18 hours)

Answer:  3/4

Find the median of the data in the dot plot below.

Answers

Answer:

it's 40

Step-by-step explanation:

because, there's five numbers on each side of 40

Answer:

Step-by-step explanation:40

Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset

Answers

Answer:

the answer is d

Step-by-step explanation:

cause its d

Which ordered pair is a solution of the equation? 2x+4y=6x−y

Answers

Answer:

Step-by-step explanation:

"Which ordered pair" implies that there were several answer choices for this problem.  It's important that you share such answer choices.

2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x

If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation.  There are an infinite number of such solutions.  All lie on the line y = (8/5)x.

Question: 4 x 1 2/5 Answer with a mixed number in simplest form!

Answers

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

Plzzzzz help ASAP!!!!!! Solve: x/32=15/20

Answers

Answer:

[tex]\boxed{x=24}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{32} =\frac{15}{20}[/tex]

[tex]\sf Cross \ multiply.[/tex]

[tex]20 \times x=32 \times 15[/tex]

[tex]20x=480[/tex]

[tex]\sf Divide \ both \ sides \ by \ 20.[/tex]

[tex]\displaystyle \frac{20x}{20} =\frac{480}{20}[/tex]

[tex]x=24[/tex]

Answer: x = 24

Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property.

The product of the extremes, (x)(20),

equals the product of the means, (32)(15).

So we have (x)(20) or 20x equals (32)(15) or 480.

So we have 20x = 480.

Dividing both sides by 20, x = 24.

Which of the following are exterior angles? Check all that apply.
6
52
3
O A. 21
O B. 25
O c. 24
O D. 23
E. 22
O F. 26

Answers

Using it's concept, it is found that the exterior angles of the triangle are given as follows:

B. <5

C. <4

What are the exterior angles of a triangle?

The exterior angles of a triangle are the angles that are outside the triangle.

In this problem, the angles are 4 and 5, which means that options B and C are correct.

More can be learned about the exterior angles of a triangle at https://brainly.com/question/2546141

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Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.​

Answers

Answer:

-2+12=10

-10+20=10

1+9=10

9+1=10

8-(-2)=10

2-(-8)=10

-30+40=10

Step-by-step explanation:

2+8=10
3+7=10
6+4=10
5+5=10
1+9=10
10+0=10
(-8)-2=10

Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73

Answers

Answer:C

Step-by-step explanation:

Answer C.56!

%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!

What is the y-intercept of the function f(x) = -2/9x+1/3

Answers

Answer:

The y-intercept is 1/3.

Step-by-step explanation:

The equation given is in slope-intercept form. Recall that in slope-intercept form:

[tex]f(x)=mx+b[/tex]

m is the slope while b is the y-intercept.

Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.

the y intercept is 1/3. the function is in slope intercept form (y=mx+b) where m represents the slope and b represents the y-intercept. making b=1/3, meaning 1/3 is the y-intercept of the function

The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?

Answers

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer: $129,584 is the annual pay

Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.

Answers

Answer:

1.4a > 5+a

Step-by-step explanation:

If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.

On the right side of the equation, if the number is increased by 5, then the equation is a + 5.

Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a

Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x

Answers

Answer:

f(x) is quadratic. g(x) and h(x) are linear.

Step-by-step explanation:

So we have the three functions:

[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.

the first should be quadratic
the second one should be exponential
and the third should be linear

Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!

Answers

Answer:

n = 15

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

n = 15

Hope this helps you

The correct answer would be n = 15.

Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?

Answers

Answer:

20%

Step-by-step explanation:

20% is the answer to this question

Plsssssss answer this fast guys plssssss

Answers

Answer:You cant get someone to do all of this try doing a few or getting help from someone older that's what I did

I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now

It's better to make an effort and try doing some of them instead of asking someone to do all of it

Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems

Answer:

Don't ask someone to do this if your question is a test

Step-by-step explanation:

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Spring is the mischief in me, and I wonder If I could put a notion in his head: "Why do they make good neighbours? Isn't it Where there are cows? But here there are no cows. Before I built a wall I'd ask to know What I was walling in or walling out, And to whom I was like to give offence. Something there is that doesn't love a wall, That wants it down." Now read "The Pasture," also by Robert Frost. Im going out to clean the pasture spring; Ill only stop to rake the leaves away (And wait to watch the water clear, I may): I shant be gone long.You come too. Im going out to fetch the little calf Thats standing by the mother. Its so young, It totters when she licks it with her tongue. I shant be gone long.You come too. Which best accounts for the different views of spring expressed in the poems? A 70 year old female is seen in the emergency department and diagnosed with acute cholecystitis. She is being brought to the operating room for a laparoscopic cholecystectomy. What would be the most appropriate antimicrobial prophylaxis to prevent surgical site infection? A. Pipercillin-tazobactam B. Ampicillin-sulbactam C. Cefazolin D. None needed E. Vancomycin What is the difference in their elevations?An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level A synthetic fiber used in manufactoring dress fabric is? A. Rayon B. Wool C. Cotton D. Silk A purebred tall pea plant is cross-pollinated with a tall, heterozygous pea plant. Use a Punnett square to determine the probability the offspring inheritarecessive short allele. (I point)75%25%0%50% If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter. All the following statements concerning the interest settlement option in life insurance are correct EXCEPT: Group of answer choices the beneficiary may be allowed to withdraw part or all of the proceeds. the beneficiary may be allowed to change to another settlement option. the minimum guaranteed interest rate usually is equal to the prime rate. the interest can be paid monthly, quarterly, semiannually, or annually. g When considering the effects of temperature on spontaneity, if both H and S are positive, _______. Select the correct answer below: the process is spontaneous at all temperatures You want to get more physically fit but often make excuses for why you don't have time to be active. What strategy can help with this problem? From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the population proportion, what are the lower and upper limit of the interval? Answer choices are rounded to the thousandths place. Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex] a 2-n force is applied to a spring, and there is displacement of 0.4 m. how much would the spring be displaced if a 5-n force was applied? What is the frequency of a photon having an energy of 4.91 1017 ? (c = 3.00 108 m/s, h = 6.63 1034 J s) La seora Nez is giving her boss directions. Complete the sentences by choosing the correct formal command. ____ derecho hasta llegar al monumento. a. Siga g If A and B are disjoint events, with P( A) = 0.20 and P( B) = 0.30. Then P( A and B) is: a. .00 b. .10 c. .50 d. 0.06 Which of the following pairs of chemical reactions are inverses of each other? Answer options: a. Hydrogenation and alkylation b.Halogenation and hydrolysis c. Ammoniation and alkylation d. Oxidation and reduction Solve the equation for x The calculation of WACC involves calculating the weighted average of the required rates of return on debt and equity, where the weights equal the percentage of each type of financing in the firm's overall capital structure. _________ is the symbol that represents the cost of preferred stock in the weighted average cost of capital (WACC) equation. Bryant Co. has $2.3 million of debt, $1.5 million of preferred stock, and $1.8 million of common equity. What would be its weight on common equity? A. 0.32 B. 0.24 C. 0.22 D. 0.30 When a cup of water, held upright, is dropped on the moon, the air makes thecup fall faster than the water.O A. TrueB. False 4x +16 x+4Simplify your answer as much as possible.