A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?

Answers

Answer 1

The amount of money that will go to the school is $ 3816.00

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

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Related Questions

Jon has to pay $9.00 admission for the skating rink and $2 per hour to
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Answer:

The answer is 5 hours

Step-by-step explanation:

The answer would most likely be 5 hours, hope it helps!

what is 4(3x  6y) equivalent to?

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Step-by-step explanation:

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Step-by-step explanation:

If angle DAB is 30 degrees, angle ABD is 60 degrees, and line segment BD has a length of 30, what is the length of side a?

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Answer:

The length of side a is 30

Step-by-step explanation:

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Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
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Answers

Answer:

The answer probably is A

Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

Answers

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36

Answers

Answer:

C. log7 36....................................

The given logarithmic expressions together can be written as log₇ 36

What is a logarithmic function ?

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

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= log₇(2 x 6) + log₇3

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We have the result

log A + log B =  log AB

Here the question is log₇(2 x 6) + log₇3.

Using the property of logarithm we will get,

= log₇(2 x 6) + log₇3

= log₇(2 x 6 x 3)  

= log₇ 36

So,   log₇(2 x 6) + log₇3 = log₇ 36

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An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle

Answers

Answer:

36.008 or 36

Step-by-step explanation:

Use the equation for the length of any circular arc  

s = r(radians)  

s - length of a circular arc

r - radius  

radians - radian measure of the central angle  

Then, set-up the equation:  

s = r(radians)

70.7m = r(5pi/4)  

Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:  

r = 70.7m x 4/5pi  

then solve for r  

r = 282.8/5pi = 18.004  

The radius is half the diameter therefore just multiply the radius by 2  

d = 18.004 x 2  

= 36.008 or 36  

The diameter of the circle is 36 meters.

What is an arc?

The arc is a portion of the circumference of a circle.

We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.

We have to determine the diameter of the circle

For the length of the circular arc, use the equation.

⇒ 70.7 m = R(5π/4)  

Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:

⇒ R  = 70.7 m × 4/5π

⇒ R = 282.8/5π

∵ π = 3.14

⇒ R = 282.8/5(3.14)

⇒ R = 18.004  

Since the radius is equivalent to half the diameter, simply double the radius by 2.  

⇒ D = 18.004 × 2  

⇒ D = 36.008 ≈ 36  

Hence, the diameter of the circle is 36 meters.

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Select all the numbers that round to 387.4 when rounded to the nearest tenth

Answers

The numbers that round to 387.4 when rounded to the nearest tenth are in the following interval.

387.35 <= x < 387.4

How to round the numbers?

To round a number to the nearest tenth, we must observe the second decimal digit of the number:

If the second decimal digit is less than five, the first digit remains constant and the other decimal digits are removed, example, 387.34 = 387.3.If the second decimal digit is at least five, one is added to the first digit and the other decimal digits are removed, example, 387.35 = 387.4.

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Someone plz help me I will give brainliest

Answers

Answer:

Step-by-step explanation:

5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6

7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200

Michael sells 136 newspapers each week. If there are 52 weeks in a year, how many newspapers does Michael sell in a year?

Answers

Answer:

7,072

Step-by-step explanation:

136 times 52 = 7,072

Answer:

7,072 newspaper in a year

Step-by-step explanation:

Multiply: 136*52=7,072

(I would put a picture of my work but I'm lazy right now lol)

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

please help! not sure how to do this

Answers

Answer:

y=−3x+4

Step-by-step explanation:

Step 1: Flip the equation.

−6x+8=2y

Step 2: Add -8 to both sides.

−6x+8+−8=2y+−8

−6x=2y−8

Step 3: Divide both sides by -6.

−6x −/6 = 2y−8 /−6

Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
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B)Rectangle
C)Square
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Answers

Answer:

D) triangle

Step-by-step answer:

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

Pyramid

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

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9*10^7 is how many times as large as 3*10^-2

Answers

3000000000 Times, sorry if it’s wrong

If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers​

Answers

9514 1404 393

Answer:

  17.5

Step-by-step explanation:

The sum of the 5 numbers is 5·10 = 50.

The sum of the 15 numbers is 15·20 = 300.

The sum of all 20 numbers is then 50+300 = 350, so their mean is ...

  mean = sum/number = 350/20 = 17.5

The combined mean of the 20 numbers is 17.5.

The following are Noah's scores on his first ten exams: 89, 90, 79, 92, 80, 94, 86, 91, 82, 89. Calculate the sum of Noah's points
(Only enter the numeric answer - NO WORDS!)
I

Answers

Answer:

872

Step-by-step explanation:

89+90+79+92+80+94+86+91+82+89

The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How much does Justin weigh?

Answers

Answer:

100 pounds

Step-by-step explanation:

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
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The amount of water in the two tanks will be the same in
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Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

Every time Kristina bakes a batch of brownies, she uses 1/8
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Answers

Answer:

6 batches

Step-by-step explanation:

3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches

Lcm of deno ( 4, 8 ) = 8

3x2/4x2 = 6/8. 3/4 = 6/8

Kristina can make 6 batches of brownies

Which is the best estimate of the sum of 18.9 and 99.3?
A. 100
B. 110
C. 120
D. 130

Answers

Answer:

120

Step-by-step explanation:

99.3 + 18.9 = 118.2

The triangles are similar, solve for the question
mark.

Answers

Answer:

8

Step-by-step explanation:

I think it's the only reasonable one to choose that's my explanation

The Length of side AE= 18

Given :

A triangle ABE with the measure of sides .

Explanation :

Find out the measure of AE using similar triangles

From the given figure, Triangle ABE is similar to triangle CDE

When the triangles are similar then the sides are proportional

[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]

We know that AB=15, CD=10, CE= 12

Substitute all the values and find out AE

[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]

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Probably of Carl solving the 10 problems if there's 20 to study and he knows 15 and ten of the 20 are on the test.

Answers

Answer:

1/3

Step-by-step explanation:

Probability of solving ten problems by Carl

Given

Total number of problems = 20

Number of problems studied by Carl = 15

Number of problems out of the 20 set of problem coming in test is 10

Case I - All ten problems come from the set of known 15 question

10/15 * 10/20 = 1/3

I don’t know if this is correct !!!!! Please help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

point a is located in which quadrant quadrant 1 quadrant 2 quadrant 3 quadrant 4
PLEASE HELP ME QUICK PLEASEEEE​

Answers

Answer:

quadrant 2

Step-by-step explanation:

top right is 1, top left is 2, bottom left is 3, and bottom right is 4

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.

What is the length of each shorter piece of rope?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

the length of each shorter piece is 8m long. In a fraction 8/16 which is 1/2.

Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).

Answers

I don’t know if this is what you’re looking for but here


G(-3x+7)=-18x2+84x-106

HELP I forgot how to do this (show work please)

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The answer is 23[tex]\sqrt{x} \pi[/tex].

Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.

Determine whether each given pair of endpoints lies on the same horizontal or vertical line.
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If not, explain how you know the points are not on the same horizontal or vertical line.
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Answers

Answer:

They end up on the same vertical line. The length between them is 11 units if your looking on a graph.

Step-by-step explanation:

You can also answer this without a graph by looking at the x and y units for each pair. Since both points both have x as 0 you can know they will be on the same vertical line which for this question is zero. Then to find the length between each point just count up from -2. -2, -1, 0, 1 etc. That's the easiest way for my brain to comprehend it at least.

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Which statement best describes the depth of the fish, given this equation?

Answers

Answer: Y = 21

Step-by-step explanation:

Find the two whole numbers that are the closest to √42. Explain your reasoning

Answers

√42 is roughly 6.48~. This means the two whole numbers closest to √42 are 6 and 7.

The two whole numbers that are the closest to √42 are 6 and 7.

The given number is √42.

What is the square root of a number?

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The square root of √42 =6.48

The two whole numbers that are the closest to √42 are 6 and 7.

Therefore, the two whole numbers that are the closest to √42 are 6 and 7.

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