A rectangular price tag has a perimeter of 34 centimeters and an area of 70 square centimeters. What are the dimensions of the price tag?

Answers

Answer 1

we know that

The perimeter of a rectangle is giving by

P=2(L+W)

where

L is the length

W is the width

The area of a rectangle is equal to

A=LW

In this problem we have

P=34 cm

A=70 cm^2

substitute in the fiormula above

34=2(L+W)

34/2=L+W

simplify

17=L+W ------> L=17-W -----> equation A

Area

70=LW -----> equation B

substitute equation A in equation B

70=(17-W)W

70=17W-W^2

Rewrite

W^2-17W+70=0

Is a quadratic equation

Solve the quadratic equation using a graphing tool

so

The solutions are

W=7 cm

W=10 cm

therefore

For W=7 cm L=10 cm

For W=10 cm L=7 cm

therefore

the dimensions of rectangle are

7 cm by 10 cm

A Rectangular Price Tag Has A Perimeter Of 34 Centimeters And An Area Of 70 Square Centimeters. What

Related Questions

experimento aleatorio con orden,remplazo y sin repeticion

Answers

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

How to explain the information.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

Learn more about the experiments at

brainly.com/question/17274244

#SPJ1

Random experiment with order, replacement and without repetition

WILL


GIVE BRAINLIST FOR MATH



....

WILLGIVE BRAINLIST FOR MATH....

Answers

9 am.

When the line on the graph is at the lowest for x value it is the lowest temperature.

the graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:

the graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents

Answers

The equation for the cost of food-delivery service will be c = 30w.

What is equation?

The statement of equality between two expressions consisting of variables and/or numbers.

Given that, a graph showing the cost, c, in dollars of using a food-delivery service for w weeks.

The slope of the equation is 30, 60/2 = 120/4 = 180/6 = 240/8 = 30

Hence, equation will be c = 30w

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ1

Help I'm not that good at finding the mean

Help I'm not that good at finding the mean

Answers

5 weeks = 35 days

\(\dfrac{19.25\text{ in}}{35\text{ days}}=0.55\dfrac{\text{ in}}{\text{ day}}}\)

Answer: 0.55 inches per day

Step-by-step explanation:

The mean is the average. There's seven days a week so 5x7=35 days, and then 19.25 inches of rain, divided by 35 days, has a mean of 0.55 inches per day.

woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?

Answers

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

What is the unit price?

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

Learn more about unit prices, click;

https://brainly.com/question/10503561

#SPJ1

Find unit rate $602 for 20 hours of work

Answers

I think the answers 30.1

Student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?

Answers

Answer:

3 11/8

Step-by-step explanation:

Ben makes five paper helicopters with different wing lengths. He drops
them the same way from a height of two meters for five trials each. He
records the amount of time it takes for each helicopter to fall to the
ground. What is the independent variable?
Dropping the same way
Wing Length
Amount of time it takes the helicopter to hit the floor
Dropping from the same height

Answers

The correct answer is B. Wing Lenght

Explanation:

In this experiment, Ben is using on purpose paper helicopters with different wing lengths. This shows this factor is the one Ben is changing or controlling to find out if the wing length affects the time the paper helicopter flies before falling and in experiments the factor controlled is known as the independent variable. Because this factor is not manipulated by other factors but by the researcher and this affects other variables. For example, it is expected the wing length affects the flying time. According to this, the correct answer is B.

The correct answer is B. Wing Length

The following information should be considered:

In the given experiment, since Ben is using on-purpose paper helicopters having different wing lengths. This represent this factor is the one Ben is changing or controlling to find out in the case when the wing length impact the time the paper helicopter flies prior falling and in experiments the factor controlled is known as the independent variable.

Learn more: https://brainly.com/question/994316?referrer=searchResults

What is the reciprocal of the divisor 5 1/5 divided by 1/10

Answers

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

To learn about more about the reciprocal of the divisor visit: brainly.com/question/11490331 #SPJ9.

Determine the number of solutions:
10-
8-
O No Solution
6
4
2-
++++
-10-8-6-4-2,
N
पं
-6
-8
-10-
O Infinitely Many Solutions
One Solution
6x-2y=-4
3x-y=-2
2
8 10

Determine the number of solutions:10-8-O No Solution642-++++-10-8-6-4-2,N-6-8-10-O Infinitely Many SolutionsOne

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

let's compare each equations to equation of a line

which is y=mx+c

first equation

6x - 2y = -4

-2y = -6x -4

divide through by -2

y=3x+2

second equation

3x-y= -2

-y= -3x-2

divide through by -1

y= 3x+2

since the slope and intercept of the first and second equation equal each other then the number of solutions is infinitely many.

note that m is slope and c is intercept.

find the inequality represented by the graph pleasseee help me​

find the inequality represented by the graph pleasseee help me

Answers

Answer:

y≥1/2x is the answer for this problem

Please solve the question below 2.0

Please solve the question below 2.0

Answers

Answer:

The answer is B

Step-by-step explanation:

Just look at the picture

Graph the line 3x + 6y =12.

Answers

Answer: Slope=−  2.000 /1.000  =−0.500

x−intercept=  1 /4  =4.00000

y−intercept=  2 /4  =2

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(12)=0

Pull out like factors :  3x + 6y - 12  =   3 • (x + 2y - 4)

Solve :    3   =  0

A a non-zero constant never equals zero.

Solve   x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-4  = 0 and calculate its properties

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 4/1  =  4.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.000/2.000 = -0.500

 Slope = -1.000/2.000 = -0.500

 x-intercept = 4/1 = 4.00000

 y-intercept = 4/2 = 2

Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.

Answers

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

-8m – 6(1 - 4m) = -102

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-8m – 6(1 - 4m) = -102  Question

Step 2

-8m – 6(1 - 4m) = -102  Remove parenthesis

16m-6=-102

Step 3

16m-6=-102  add 6 to sides

16m=-96

Step 4

16m=-96  Divide sides by 16

Answer

m=-6

Hope this helped

Answer:

Step-by-step explanation:

I can help

Step 1

-8m – 6(1 - 4m) = -102  Simplify

Step 2

-8m – 6(1 - 4m) = -102  Add 6 to the sides

16m=−96

Step 3

16m=−96  Divide the sides by 16

Answer

m=-6

Hope this helps

At school B, 108 year 8 students study French.
This is 60% of the year group.
How many students do not study French in year 8 in school B?

Answers

Step-by-step explanation:

108 = 60%

1% = 60%/60 = 108/60 = 1.8

100% = 1%×100 = 1.8×100 = 180

how many do not study French ?

the remainder of the students. that is 40% (100% - 60%) or 72 students (40×1.8 or simply 180-108).

Answer:

72 students do not study French.

Step-by-step explanation:

60% = 108 students

1. 108 ÷ 60 = 1.8 ( this is to find 1% of the students)

2. 1.8(1%) × 40 = 72

To check the answer:

108 + 72 = 180

180 × 60% = 108

An amusement park is installing a new roller coaster. the park intends to charge $5 per adult and $3 per child for each ride. It hopes to earn back more than the $750,000 cost of construction in four years. with the best of weather, the park can provide 100000 adult rides and 75,000 child rides in one season.

Answers

Answer:

Cost = 750,000

Income per year = 5 x 100,000 + 75,000 x 3 = 725,000

Income for 4 years = 4 x 725,000 = 2,900,000

Profit = 2,900,000 - 750,000 = 2,150,000

Step-by-step explanation:

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.

Answers

The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The expression is given as:

\(x^{2} -7x + 6\)

Expand;

\(x^{2} -6x - x +6\)

Factorize;

x(x-1) - 6 (x- 1)

Factor out x - 6

(x - 6) (x- 1)

This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6

Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

Read more about expressions at:

brainly.com/question/11579257

#SPJ1

Answer: Answer is C

Step-by-step explanation:

help pls ill give extra points​

help pls ill give extra points

Answers

Answer:

I can’t see the pic

Step-by-step explanation:

Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?

Answers

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.

Answers

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

How to calculate the area of the floor?

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.a. What is the area

Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O

Answers

The media keep lawmakers informed of what is happening in government this is a check and balance one check the other for things to be solved

Answer:

its A on edge 2021

Step-by-step explanation:

your welcome :)

It is A (45). Hope this helps!

Answers

What do you need help with? :0

On a hike, Twyla traveled from an altitude of 527 meters to an altitude of 487 meters. Which statement uses absolute value correctly? *



A. Since |527−487|=40 , Twyla went down 40 meters in altitude.

B. Since |527−487|=40 , Twyla went up 40 meters in altitude.

C. Since |527−487|=−40 , Twyla went up 40 meters in altitude.

D. Since |527−487|=−40 , Twyla went down 40 meters in altitude.

Answers

Answer
B

I answer this question and it was B!

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

$35 is what percent of $50

Answers

Answer:

70%

Step-by-step explanation:

35/50 = 0.7

Answer:

35 is 70% of 50.This means that a $50 item with a $35 discount is receiving a 70% discount.

A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.

(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?

(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.​

Answers

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

For more such questions on carbohydrate, click on:

https://brainly.com/question/29917711

#SPJ8

The range of y = –2x to the 4th power + 7?

Answers

Answer: y ≤ 7

Step-by-step explanation:

brainlest  

An expression is given in the box.
90 + (3d)
What is the value of the expression if c = 4 and d = 6?
O2
04
36
O 72

An expression is given in the box.90 + (3d)What is the value of the expression if c = 4 and d = 6?O20436O

Answers

Answer:

the question is 9c/3d where c=4 and d=6

9*4/3*6=2

The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.

Answers

Answer:

∠1 → 108

∠2 → 72

Step-by-step explanation:

Supplementary angles add up to a total of 180° (two angles is a pair). So:

∠1+∠2=180°

∠1 → supplement

∠2 → 36 less than the supplement

Create an equation, using x as angle 1 and y as angle 2:

\(x+y=180\)

Insert the given values:

\(x+(x-36)=180\)

Solve for the value of x. Simplify parentheses:

\(x+x-36=180\)

Simplify addition:

\(2x-36=180\)

Add 36 to both sides:

\(2x-36+36=180+36\\\\2x=216\)

Isolate the variable. Divide both sides by 2:

\(\frac{2x}{2}=\frac{216}{2}\\\\ x=108\)

The value of x is 108. Insert this into the equation above:

\(x+y=180\\\\108+y=180\)

Solve for y. Subtract 108 from both sides:

\(108-108+y=180-108\\\\y=72\)

The value of y is 72.

Therefore:

∠1 → 108

∠2 → 72

:Done

*Check:

Insert the values into an equation set to 180 to determine if true:

\(108+72=180\\\\180=180\)

Subtract 108 by 72 to see if the difference is 36:

\(108-72=36\\36=36\)

The given values are true.

Supplementary angles add up to \(180^o\)

The angles are 72 and 108

Let the angles be x and y.

Such that:

\(y = x - 36\)

So, we have:

\(x + y = 180\) --- sum of supplementary angles

Substitute \(y = x - 36\)

\(x + x - 36 = 180\)

\(2x - 36 = 180\)

Collect like terms

\(2x = 36 + 180\)

\(2x = 216\)

Divide by 2

\(x = 108\)

Recall that:

\(y = x - 36\)

\(y = 108 - 36\)

\(y = 72\)

Hence, the angles are 72 and 108

See attachment for the illustration of the angles

Read more about supplementary angles at:

https://brainly.com/question/18164299

The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures
Other Questions
Which type of tissue coordinates body functions in addition to carrying messages to and from the brain and spinal cord? Factor the polynomial 6d^2 - 12d How did the introduction of Barnum's famous sayings/phrases have an effect of his ability to market his product (the circus)? Quest-ce que cest le bordeaux et le brie ? please answer fast In the population, a parameter has a value of 15. Based on the means and standard errors of their sampling distributions, which of these estimators shows the most bias?Mean = 14, SE = 2Mean = 8, SE = 2Mean = 15, SE = 6Mean = 20, SE = 1 The pro t function, p(x), for a company is the cost function, c(x), subtracted from the revenue function, r(x). The pro t function for the Acme Corporation is p(x) = 0:5x 2 + 250x 300 and the revenue function is r(x) = 0:3x 2 + 150x. The cost function for the Acme Corporation is keep it simple and explain your answer plss and thank you Hello I have this homework I need ansered beforemidnigth. They need to be comlpleatly ansered.5. The dot product of two vectors is the magnitude of the projection of one vector onto the other that is, A B = || A | || B || cose, where is the angle between the vectors. Using the dot product, fin I NEED HELP 20 points and I need step by step explanation Select the correct answer.if f(t) = 2 - 4 and 9 (7)= 2 x and g(x) = x2 9, what is the domain of g(x) = f(x)?OA. (-0, 2] and [2, 0)OB. [0, 4) and (4, )Oc. (-0, 2] and [4, 0)D. (-0, -2] and [2, ) If two plant species with different numbers of chromosomes interbreed: Group of answer choices the hybrid offspring will be unable to reproduce sexually at first the offspring will be capable of breeding with one of the parental species but not the other the hybrid offspring will immediately be a new species none of the above Determine the number of molecules of OF2 and moles of fluorine contained in 5.53 moles of OF2. Who was the established groups in Postville before the in-migration? What were their expectations of each of the new groups Problem. 6: Findinn equation of the set of all points equidistant from the points (2, 3,5) and B(5, 4, 1) Note: For plane equations, DO NOT check an individual coefficient. You MUST complete the entir In planning a robust e-commerce presence, you will want to consider the blog platform as part of your ________ presence. a rectangular package to be sent by a postal service can have a maximum combined length and girth of 120 inches write a function what are some exposing comebacks ? which idea from paragraph 5 provides the best clue to the meaning of actuary The volumes of a cone and a cylinder that have identical bases and heights are proportional. True or false A company purchased $11,700 of merchandise on June 15 with terms of 2/10, n/45, and FOB shipping point. The freight charge, $1,350, was added to the invoice amount. On June 20, it returned $2,160 of that merchandise. On June 24, it paid the balance owed for the merchandise taking any discount it is entitled to. The cash paid on June 24 equals: