PLEASE ANSWER ASAP The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candles must they sell to make more than $125 profit? Let x represent the number of candles sold. Which inequality can you use to find x? 4.5x – 100 > 125 4.5x + 125 > 100 100 – 4.5x > 125 100 + 4.5x > 125

Answers

Answer 1

Answer: 4.5x-100 > 125

Step-by-step explanation: Each candle costs $4.50, which can be simplified to 4.5. To determine how much they will make from the candles, you want to multiply the cost of the candles (4.5) by how many candles are sold (x), and this is where the 4.5x comes from. We subtract 100, because that is how much they spent on the candles they are selling (profit means how much you make after expenses). Since they're trying to make MORE THAN $125 in profit, we use the > sign.

Answer 2

Answer:

So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so: So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:

4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:

x > 50

They have to sell more than 50 candles.


Related Questions


Helllllpppppp!
I went to Starbucks and purchased three coffees and two cake pops with a total cost of $7 dollars. Then I
went to Einstein Bagels and purchased two coffees and four cake pops for $8 dollars. What is the price for a
single coffee and single cake pop?

x=cost of a single coffee
y= cost of a cake pop

3x+2y+7
2x+4y+8


Answers

Answer:

Step-by-step explanation:

The system of equations is:

● 3x + 2y = 7

● 2x + 4y = 8

Where x is the price of a single coffee and y is the price of a single coffee

We will solve this simultaneous equations using the graphing method:

The solutions is the intersection point of to the lines.

(Picture below)

The intersection point is (1.5,1.25)

Answer:

x = 1.5

y =1.25

Step-by-step explanation:

3x+2y=7

2x+4y=8

Multiply the first equation by -2

-2(3x+2y=7 )

-6x-4y = -14

Add this to the second equation

-6x-4y = -14

2x+4y=8

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

-4x = -6

Divide by -4

-4x/-4 = -6/-4

x = 1.5

Now find y

3x+2y=7

3(1.5) + 2y = 7

4.5 +2y = 7

Subtract 4.5 from each side

2y = 2.5

Divide by 2

y = 1.25

PLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?

Answers

Answer:

32 miles/4 hours.

Step-by-step explanation:

32/4 hours is most definitely the answer. trusted answer

help me plx can somewon help me

Answers

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Add the 7 and the 2 which makes it 9 than keep the 10^16

Jen go to the skate park every other day Terry go to skate park every third date Carlos goes to the skate park only on Mondays and Tuesdays today is Monday, June 3 and all the kids are at the skate park on what day would they all be at the skate park again

Answers

Answer: Tuesday, July 9 (correct me if I'm wrong)

Step-by-step explanation:

Jen goes every other day, so she goes every odd day.

Terry goes every third day, so Jen and Terry go together every six days.

Six days later is Sunday June 9, then Saturday June 15, then Friday Jun 21, then Thursday June 27, then Wednesday July 3.

Carlos only comes Mondays and Tuesday, so the next six days would be Tuesday July 9.

All the kids would be at the park on Tuesday. June 9th. Jen would be there the 5th, 7th, and 9th and terry would be there the 6th & 9th. The ninth would be a Tuesday so Carlos would be there too. So everyone would be there on Tuesday

find the x value for this problem

Answers

180 - 105 = 75

180 = 75 + 25 + x
x = 180 - 75 - 25
x = 80°

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

I am getting headache In this question!! Can you solve it please!!? Please answer. Will mark brainliest!!

Answers

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

27/10 -> 2.7 because 9/10 times the reciprocal which is 3/1 = 27/10 -> 2.7

PLEASE HELP!! Don't need explanation The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Answer:

you are very very correct good job

Step-by-step explanation:

what the hell is the answer

I’m confused do u need an explanation?

can anyone answer this pls. will mark u as brainliest.

Answers

Answer:

6

Step-by-step explanation:

We first want to rewrite it and make the square roots into power of 1/2 as its is easier in most cases to work with.

We will first solve for a^2 because it appears twice

3+2×2^1/2

3+2.828=5.828427

Now we will solve 1/a^2

1/5.828427=.171572

.171572+5.828427

now you add them and it equals 6.

The answer to your equation is 6 !

The volume of a cube is given by , where s is the side length of the cube. What is the difference of the volumes of two cubes with side lengths of 5 meters and 4 meters?

Answers

Answer:

61 cubic meters

Step-by-step explanation:

1) Find the volume of the cube where s=4

1a) V= s*s*s

1b) Insert in side length

V=4*4*4

1c) solve

V=64 cubic meters

2) Find volume of 2nd cube by repeating same steps where s=5

2a) V=125 cubic meters

3) Subtract to find difference

3a) 125-64

3b) Solve: 61 cubic meters

Answer:

The cube with meters length of 5 s a bigger mass if the width of both cubes are the same

Step-by-step explanation:

Please help! Solve for x: -4x - 3/5 = 1/3 4x + 3/5 = 1/3 Please include a step-by-step explanation. Thank you!

Answers

Answer:

-4(-7/30)-3/5=1/3  

4(-1/15)+3/5=1/3

Step-by-step explanation:

1. -4x-3/5=1/3

-4x=1/3+3/5

-4x=14/15 <- divide both sides

x= -7/30

2. 4x+3/5=1/3

4x=1/3-3/5

4x= -4/15 <-divide both sides

x= -1/15

The answer is -4 (7/30) 3/5=1/3

What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:

Answers

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

More about the domain and range link is given below.

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What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Answers

Answer: B. 940.5 square inches

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem:

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area of Regular polygon with apothem:

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

   • Given,  

     apothem = 16.5 inches and length of a side =19 inches

   • Perimeter = 6 x (side of a hexagon)

                       = 6 x (19)

                       = 114 inches

   • Hence,

      Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

Know more about Regular hexagon :

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Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis


Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent

Answers

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

There is 16 crackers.


1/3 = 4.


1/3 < 1/2


3/3 = 2/2


4 x 3 = 12.


if there were still 4 crackers AFTER eating 1/3 on wednesday, you add 12 + 4 = 16

The frequency table categorizes winners of a prestigious award from.1990-2012 by their age at the time they received the award.

Answers

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

An image would be appreciated.

ANSWER ASAP!!!!! How many liters of a 10% salt solution must be mixed with 5 liters of a 50% salt solution to give a 20% solution?

Answers

Answer:

  15 liters

Step-by-step explanation:

Let v represent the number of liters of 10% solution to be mixed with 5 liters of a 50% solution to obtain a 20% solution. The amount of salt in the final solution is ...

  0.10x +0.50(5) = 0.20(x+5)

  1.5 = 0.10x . . . . . simplify, subtract 1+0.10x

  15 = x . . . . . . . . . multiply by 10

15 liters of 10% solution must be added.

The answer this question is 15 liters

A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]

Answers

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students

Answers

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

2082

because

2540/10 x 8 =

Need help plz, show work too

Answers

Answer:

Hope it helps this is an isosceles triangle

Answer:




Explanation :

The following data points represent the number of points scored last basketball game by each player on the Dragons basketball team.

5,8,11,7,?

If the mean of the data set is 8 points, find the missing number of points.

Answers

Answer:

9

Step-by-step explanation:

There are 5 data points.  To find the mean, we add the data and divide by 5

(5+8+11+7+?) /5 = 8

Multiply each side by 5

(5+8+11+7+?) /5 *5 = 8*5

(5+8+11+7+?)  = 40

Combine like terms

? + 31 = 40

Subtract 31 from each side

? +31-31 = 40-31

? = 9

The missing number is 9

The missing number is 9.

What is the solution to the inequality 3t + 9 ≥ 15 ? please answer as soon as you can!!

Answers

Answer:

T≥2

Step-by-step explanation:

3t+9≥15

3T≥15-9

3T≥6

T≥2

Answer:

t ≥ 2

t ∈ [2 ; +oo)

Step-by-step explanation:

3t + 9 ≥ 15

3t ≥ 15 - 9

3t ≥ 6

t ≥ 6 : 3

t ≥ 2

t ∈ [2 ; +oo)

What is D+26/-17 = - 25

Answers

Answer:

-399/17

Step-by-step explanation:

D+26/-17=-25

D=-25-(-26/17)

D=-25+26/17

D=-425/17+26/17

D=-399/17

Answer:

The answer is D= -399/17

An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there​

Answers

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

can somewon help me i dont get this kind of math

Answers

Answer:

256 in²

Step-by-step explanation:

Answer:

256 inches squared

Step-by-step explanation:

You find the area of all of the area on the sides and then add them

A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?​

Answers

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]

Simplifying gives;

[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

hope the answer above helped bro! it helped me!

PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.

Answers

Multiplying a linear polynomial by a quadratic polynomial would equal a cubic polynomial. Algebraic tiles do not model cubic functions.

Answer:

the guy is right

Step-by-step explanation:

what is (8*8*8) * (8*8*8*8) in exponential form?​

Answers

Answer:  8^7

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

We know that a^b * a^c = a^ (b+c)

8 ^ ( 3+4)

8^ 7

Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20

Answers

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

3/20

God bless u. Sorry if I’m wrong and I tried
My best

Find the lateral area of the following cone.
Leave your answer in terms of pi

Answers

Answer:

The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.

The formula to find slant height is l = (h²+r²) where h represents height.

The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

Given,

The height is 12 cm and the radius is 5 cm.

We are to find the lateral surface area of a cone.

What is the lateral surface area of a cone?

The lateral surface area of a cone:

A = [tex]\pi[/tex] x r x l

where r = radius and l = slant height.

The slant height:

l = √(h²+r²)  where h =height.

We have,

h = 12 cm and r = 5 cm

l =√(h²+r²)

l = √(12^2 + 5^2)

l = √(144 + 25)

l = √169

l = 13 cm

Now,

l = 13 cm and r = 5 cm

A = [tex]\pi[/tex] x r x l

A =  [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm

Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

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Plz help I’ll mark brainliest

Answers

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

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Astronomers were at first surprised to find complicated molecules in the interstellar medium. They thought ultra-violet light from stars would break apart such molecules. What protects the molecules we observe from being broken apart Need help please will give you a 5 stars After viewing the video, please create two sentences in the present tense for each of the following verbs:leer: to read comer: to eat creer: to believetoser: to coughaprender: to learnPlease note that the sentences are to be completely different from one another. Make sure to use different subject pronouns for each. Which of the following are types of thematic maps? Check all that apply PLEASE help me with this question!!! REALLY URGENT! Joaquin fue al mercado y compro 2,2 kg de papa a S/.1,2 soles el kilo y 3,2 kg de arroz a S/.3,7 soles el kilo, si pag con un billete de 20, cuanto recibi de vuelto? Wonderful! Not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well.'' said Kim Clark, president of Martell Company. ''Our $14,800 overall manufacturing cost variance is only 2% of the $1.536.000 standard cost of products made during the year. That's well within the 3% parameter set by management for acceptable variances. It looks like everyone will be in line for a bonus this year.''The company produces and sells a single product. The standard cost card for the product follows:Standard Cost Card-per UnitDirect materials, 3.50 feet at $2.80 per foot $9.80Direct labor, 2.8 direct labor-hours at $12 per direct labor-hour 33.60Variable overhead, 2.8 direct labor-hours at $2.00 per direct labor-hour5.60Fixed overhead, 2.8 direct labor-hours at $6.00 per direct labor-hour 16.80Standard cost per unit $65.80The following additional information is available for the year just completeda. The company manufactured 20,000 units of product during the yearb. A total of 67,000 feet of material was purchased during the year at a cost of $3.00 per foot. All of this material was used to manufacture the 20,000 units. There were no beginning or ending inventories for the yearc. The company worked 58,000 direct labor-hours during the year at a direct labor cost of $11.80 per hour.d. Overhead is applied to products on the basis of standard direct labor-hours. Data relating to manufacturing overhead costs follow:Denominator activity level (direct labor-hours) 52,500Budgeted fixed overhead costs $315,000Actual variable overhead costs incurred $133,400Actual fixed overhead costs incurred $ 312,000Required1. Compute the materials price and quantity variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).2. Compute the labor rate and efficiency variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).3. For manufacturing overhead compute:a. The variable overhead rate and efficiency variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).b. The fixed overhead budget and volume variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect). The Colonel spots a campfire at a bearing N 5959 E from his current position. Sarge, who is positioned 242 feet due east of the Colonel reckons the bearing to the fire to be N 3434 W from his current position. Determine the distance from the campfire to each man, rounded to the nearest foot.Colonel is about............................ feet away from the fireSarge is about............................... feet away from the fire Toys R Fun purchased $4,000 of merchandise and paid immediately. To record this transaction, Toys R Fun's accountant would debit the_____account and credit the______account.A. Cash.B. Merchandise Inventory.C. Accounts Payable. A)40%B)45%C)5%D)10% which of the following is a basic function of government? *maintaining a navycreating public parkstaxing the citizensensuring national security Please help me with this problem....5 stars 1 thanks and depending on how you answer brainiest. You are an IT technician for a small computer store. You are designing a new gaming PC for a customer. You need to ensure that it provides the capabilities that will be needed by this type of PC. Which of the following should be a concern?a. motherboardb. CPUc. graphics cardd. sound card change the voice, useless pots are being recycled by us.,PLS give correct answer ,it will get brainliest Compute the MIRR statistic for Project I and note whether to accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 15 percent. Project I Please answer this question now PLZ HELP!!!!!!!!!!!!!! WILL MARK BBRAINLIST how much electrical energy is used by the river cooker oven rated 800 W ,230 V is switched on for 30 minutes The landmark Black Report revealed that social inequalities in both health and mortality in the United Kingdom had not declined since the implementation of the National Health Service but had instead increased. This prompted some sociologists to study how as well as led to inequalities in health and illness even when medical care was fairly . Suppose that sharply lower coffee prices lead to a decrease in the demand for tea. Tea price decreases, and the tea producers experience short-run economic losses. If the tea industry is a price-taker market, after sufficient time is allowed for the market to adjust fully to the decrease in the demand for tea, one would expect the tea industry's output to