Find the surface area generated when y= x^3/12 + 1/x from x=1 to x=2 is rotated around the x-axis
Answers
Find the surface area generated from x = 1 to x = 2:
\(y=\frac{x^3}{12}+\frac{1}{x}\)The definite integral of the above function from x = 1 to x = 2, will be used to generate the surface area
\(\begin{gathered} \int ^2_1\frac{x^3}{12}+\frac{1}{x}dx \\ \mathrm{Apply\: the\: Sum\: Rule}\colon\quad \int f\mleft(x\mright)\pm g\mleft(x\mright)dx=\int f\mleft(x\mright)dx\pm\int g\mleft(x\mright)dx \end{gathered}\)\(\begin{gathered} =\int ^2_1\frac{x^3}{12}dx+\int ^2_1\frac{1}{x}dx \\ =\int ^2_1\lbrack\frac{x^4}{4(12)}+\ln x\rbrack \end{gathered}\)\(\begin{gathered} =\int ^2_1\lbrack\frac{x^4}{4(12)}+\ln x\rbrack \\ =\int ^2_1\lbrack\frac{x^4}{4(12)}+\int ^2_1\ln x\rbrack \\ =(\frac{2^4}{48}-\frac{1^4}{48})+(\ln 2-\ln 1) \\ =(\frac{16}{48}-\frac{1}{48})+\ln 2-0 \\ =\frac{15}{48}+\ln (2) \\ \frac{5}{16}+\ln (2) \end{gathered}\)Hecne the surface area of the function = 5/16 + In(2)
\(\frac{5}{16}+\ln (2)\)Related Questions
i need help
can you look over this picture and see what the answer is
Answers
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
99
2
12
. At the library, Herb spent 1/6 hour looking for a book,1/4 hour of
reading, and 1/2 hour doing research on the computer. How man
hours did Herb spend at thelibrary?
2
3
Answers
Herb spent 55 hours at the library.
What is a fraction?Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Parts of a FractionThe denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.Total time spent in the Library = 1/6 + 1/4 + 1/2
Total time spent = 11/12 x 60 mins
Total time spent = 55 hours
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Mai bought 12 pounds of rice for $6.
How many pounds of rice did she get per dollar?
Answers
mark me as brainlist
I am new here
Answer:
2 pounds
Step-by-step explanation:
$6= 12 pounds
$1= 12÷6=2
Hope this helps! Thanks.
The moon appears red during a lunar eclipse because red is the __________ wavelength of light in the color spectrum present in sunlight.
longest
shortest
brightest
Answers
Answer:
Longest
Step-by-step explanation:
The moon appears red during a lunar eclipse because red is the Longest wavelength of light in the color spectrum present in sunlight.
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Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
Answers
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answers
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = \(\frac{1}{2}(VU)\)
= \(\frac{1}{2}\times (80)\)
= 40
8). ED = \(\frac{1}{2}\times (TV)\)
= \(\frac{1}{2}(100)\)
= 50
9). HD = \(\frac{1}{2}(TU)\)
TU = 2(HD)
= 2(80)
= 160
10). TE = \(\frac{1}{2}(TU)\)
= \(\frac{1}{2}\times 160\)
= 80
Solve for x. Each figure is parallelogram
Answers
Answer:
-1+2x= 17
2x=18
x=9
Step-by-step explanation:
ans. 9
Answer:
its A) 9
Step-by-step explanation:
A farmer sells four of his farm products, Maize, potatoes, carrots and tomatoes in each of the two
towns in Rwanda ( Huye and Muhanga) to three classes of customers: Consumers, wholesalers
and retailers in bags as given below:
HUYE
Product
Maize Potatoes Carrots Tomatoes
Consumers 4 6 7 4
Retailers 3 2 1 6
Wholesalers 4 3 5 3
MUHANGA
Product
Maize Potatoes Carrots Tomatoes
Consumers 4 5 3 6
Retailers 7 8 4 4
Wholesalers 2 4 0 1
In order to sell his products in the towns, a farmer pays a commission to salesman, town managers
and Division Manager as shown below.
Salesman
Town
manager
Division
manager
Huye 6% 5% 2%
Muhanga 4% 3% 3%
The selling price per bag is given as follows
Products
Selling price per bag in
Rwf
Maize 200
Potatoes 1,000
Carrots 500
Tomatoes 700
Required: ---------------- 2 Marks per Each
a) Find the total sales in units by product and customer type.
b) Determine the difference between the two towns in sales (in Units) by product and
customer type.
c) Calculate the total sales in Rwf by each town.
d) Find the sales in Rwf by customer type for each town.
e) Compute the amount of commission to be paid by type of commission and type of
customer.
Answers
a) To find the total sales in units by product and customer type, we need to multiply the number of bags sold by the selling price per bag. The table below shows the calculations:
Town Product Consumers Retailers Wholesalers
Huye Maize 800 600 800
Potatoes 6,000 2,000 3,000
Carrots 3,500 500 2,500
Tomatoes 2,800 4,200 2,100
Muhanga Maize 800 1,000 0
Potatoes 5,000 8,000 4,000
Carrots 1,500 2,000 0
Tomatoes 4,200 2,800 700
b) To determine the difference between the two towns in sales (in Units) by product and customer type, we subtract the sales in Muhanga from the sales in Huye. The table below shows the calculations:
Town Product Consumers Retailers Wholesalers
Maize 0 -400 800
Huye Potatoes 0 -1,000 0
Carrots 2,000 0 2,500
Tomatoes -1,400 1,000 1,400
Total 600 -400 4,700
Product Consumers Retailers Wholesalers
Maize 0 400 0
Muhanga Potatoes 0 6,000 1,000
Carrots -2,000 -500 0
Tomatoes 1,400 -1,400 -700
Total -600 4,500 300
c) To calculate the total sales in Rwf by each town, we need to add up the sales in units for each town and product and then multiply by the selling price per bag. The table below shows the calculations:
Town Total sales in Rwf
Huye 24,400
Muhanga 23,700
d) To find the sales in Rwf by customer type for each town, we need to multiply the number of bags sold by the selling price per bag and then add up the sales for each customer type. The table below shows the calculations:
Town Customer Maize Potatoes Carrots Tomatoes
Huye Consumers 800 6,000 3,500 2,800
Retailers 600 2
If I was of any help to you, consider giving my solution a 5-star rating.
Good luck to you friend!
| Town/Customer | Maize | Potatoes | Carrots | Tomatoes |
|---------------|-------|----------|---------|----------|
| Huye Consumers | 4 | 6 | 7 | 4 |
| Huye Retailers | 3 | 2 | 1 | 6 |
| Huye Wholesalers | 4 | 3 | 5 | 3 |
| Muhanga Consumers | 4 | 5 | 3 | 6 |
| Muhanga Retailers | 7 | 8 | 4 | 4 |
| Muhanga Wholesalers | 2 | 4 | 0 | 1 |
b) The table below shows the difference between the two towns in sales (in Units) by product and customer type:
| Customer | Maize | Potatoes | Carrots | Tomatoes |
|----------|-------|----------|---------|----------|
| Consumers | 0 | 1 | 4 | -2 |
| Retailers | 4 | 6 | 3 | 2 |
| Wholesalers | 2 | -1 | 5 | 2 |
c) The total sales in Rwf by each town are as follows:
- Huye: 4(200) + 6(1000) + 7(500) + 4(700) + 3(200) + 2(1000) + 1(500) + 6(700) + 4(200) + 3(1000) + 5(500) + 3(700) = 30,600
- Muhanga: 4(200) + 5(1000) + 3(500) + 6(700) + 7(200) + 8(1000) + 4(500) + 4(700) + 2(200) + 4(1000) + 0(500) + 1(700) = 46,800
d) The sales in Rwf by customer type for each town are as follows:
| Town/Customer | Consumers | Retailers | Wholesalers |
|---------------|-----------|-----------|-------------|
If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP
Answers
Answer: 34
Step-by-step explanation:
\(a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\\)
100 POINTS AND BRAINLIST
Answers
Answer:
B = 40°
a = 32.2
c = 42.0
Step-by-step explanation:
Interior angles of a triangle sum to 180°.
\(\implies B=180^{\circ}-90^{\circ}-50^{\circ}\)
\(\implies B=40^{\circ}\)
\(\boxed{\begin{minipage}{7.6 cm}\underline{Sine Rule} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Given values:
A = 50°B = 40°C = 90°b = 27Substitute the given values into the formula:
\(\implies \dfrac{a}{\sin 50^{\circ}}=\dfrac{27}{\sin 40^{\circ}}=\dfrac{c}{\sin 90^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 50^{\circ}}=\dfrac{27}{\sin 40^{\circ}}\)
\(\implies a=\dfrac{27\sin 50^{\circ}}{\sin 40^{\circ}}\)
\(\implies a=32.2 \;\; \sf (nearest\;tenth)\)
Solve for c:
\(\implies \dfrac{27}{\sin 40^{\circ}}=\dfrac{c}{\sin 90^{\circ}}\)
\(\implies c=\dfrac{27\sin 90^{\circ}}{\sin 40^{\circ}}\)
\(\implies c=42.0 \;\; \sf (nearest\;tenth)\)
Answer:
B = 40°
A = 32.2
C = 42.0
Step-by-step explanation:
order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately a. 0.20 b. 0.39 c. 1.96 d. 1.64
Answers
Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:
b. 0.39.
What is a t-distribution confidence interval?The confidence interval is:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the sample.The margin of error is given by:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
As for the other parameters, we have that \(\sigma = 1.8, n = 81\).
Hence, the margin of error is given by:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(M = 1.96\frac{1.8}{\sqrt{81}}\)
\(M = 0.39\)
Hence option b is correct.
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Answers:
1/53 ; your car travels 53 miles every 1 hour.
OR
53/1; your car travels 53 miles every 1 hour.
Answers
Answer:
1/53 I believe because it says I believe sorry if I am wrong hope you get it right
What is the surface area of 2 yd 5 yd 2 yd
Answers
The surface area of the rectangular solid is 48 square yards.
What is surface area?
Surface area refers to the total area that the surface of an object or a solid shape covers. It is the measure of the sum of all the areas of the faces, sides, and edges of the object. Surface area is usually expressed in square units, such as square meters or square centimeters.
To calculate the surface area of a rectangular solid with dimensions 2 yards by 5 yards by 2 yards, we can use the formula:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular solid, respectively.
Plugging in the values, we get:
Surface area = 2(2)(5) + 2(2)(2) + 2(5)(2)
Surface area = 20 + 8 + 20
Surface area = 48
Therefore, the surface area of the rectangular solid is 48 square yards.
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PLS HELP!!!
1/2 x (16 x 4) devided 3 + 2
Answers
The value of the expression is 76/6
How to find the value of the expression?Order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.
A way to remember the order of the operations is BODMAS.
Bracket ( )
Of Multiplication of
Multiplication ×
Division ÷
Addition +
Subtraction -
1/2 × (16 × 4) divided 3 + 2 can be written as:
1/2 × (16 × 4) ÷ 3 + 2 = 1/2 × (16 × 4) ÷ 3 + 2 (Bracket)
= 1/2 × 64 ÷ 3 + 2 (Division)
= 1/2 × 64 ÷ 3 + 2 (Division)
= 1/2 × (64/3) + 2 (Multiplication)
= (64/6) + 2 (Addition)
= (64 + 12)/6
= 76/6
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Help help help help help
Answers
Answer:
C: 85 + 30x ≥ 500
Step-by-step explanation:
None
help......................
Answers
Where the above relations are given, note that Options A, D, and E are the relations that represents a function. The others are just relations.
How do you identify the relation that represents a function?To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.
Note that where you are given domain and range, only the range is represented on the x-axis.
Some of the x values may be seen repeated in B, and C.
How is this so?
B) In a coordinate system, values are represented as (x, y). so
In relations, B 2 is repeated twice to in connection with -5, and -6. That is:
(2, -5) , (2, -6)
Since two is x, then its repetition nullified the relation as a function.
C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.
As a result, Options A, D, and E are the relations that represent a function.
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7) Write an inequality that represents 7 more than three times a number, n, is less than 16.
Answers
Answer:
3n + 7 < 16
Step-by-step explanation:
7 more than 3 times a number, n, is less than 16 is represented by
3n + 7 < 16 where:
3n = three times a number, n,
+ 7 = 7 more than
and
< 16 = is less than 16.
Answer:
Step-by-step explanation:
Set up an equation for x and solve to the nearest degree
Answers
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answers
Answer: C
Step-by-step explanation:
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
Answers
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Triangle PQR, triangle RST and two angle measures are shown below
Line segment QT intersects line segment PS at point R.
What is the value of x?
(look at picture to get a better understanding)
Answers
Answer:
x=50
Step-by-step explanation:
60+70=130
180-130=50
according to vertical angles x equals 50 degrees
evaluate and solve the expressions p3 +10+ m; use m=9, and p= 3
Answers
p3 + 10 + m
3^3 + 10 + 9
27 + 10 + 9 = 46
p³ + 10 + m
3³ + 10 + 9
27 + 19
46
Based on the graph, What is the rate of the dashed line?
A: 50
B: 65
C:80
D: 95
Answers
Answer: D 95 siguro
Step-by-step explanation:makinig ka kasi ha.
Answer:
C. 80
Step-by-step explanation:
The first point is (3, 240) Divide them and you get 80.
Divide the fractions.
9/2 divided by 4/10
Answers
Answer:
11 1/4
Step-by-step explanation:
9/2/4/10
9/2/2/5
9/2*5/2
45/4
11 1/4
Final Answer:
45/4
Step-by-step explanation:
9/2 ÷ 4/10
9/2 ÷ 10/49/2 × 10/4 = 90/890/8 ⇒ 45/4
If x = 8 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
Answers
Answer:
Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....
Using Diagonals: A = ½ × d1 × d2 sin (y)
Using Base and Height: A = b × h
Using Trigonometry: A = ab sin (x)
Shannon has 1 nickel, 2 dimes, and 5 unknown coins totaling $0.81. What kind of coins does Shannon have and how many are there of each denomination?
Answers
Answer:
The 5 unknown are 1 quarter, 3 dimes, and 1 penny.
Answer:
One penny
One nickel
Five dimes
One quarter total
Step-by-step explanation:
81 - 25(coins we know) = 56 cents left
So we know we need 1 penny
Then 4 coins make up 55 cents, so that's a quarter & 3 dimes
what is 3 1/2 minus 1 1/2
Answers
Answer:
the answer is 2! :)
Step-by-step explanation:
A producer wishes to determine the equilibrium price and quantity of his good in the market. He estimated the market demand and supply function as follows demand :P=q^2+13/2q+64 and supply: P= 10q^2-45/2q-164
Answers
The equilibium price is 163.39 and the supply quantity is 150
He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164
We need to find the equilibium price
The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .
At equilibium price
Demand function = supply function
q²+13/2q+64 = 10q²-45/2q-164
(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0
9q² - 29q - 228
q = 6.895 = 6.9
The equilibium price = 6.9² + (13/2)6.9 + 64
= 163.36
similarly putting the value of q in supply function we get supply quantity ie 149.95 = 150
Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150
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Please help me find the arc!
Answers
Step-by-step explanation:
Find the 360° circumference of the circle ( pi * d) then you want 90 / 360ths of that
Radius = 10 mi then d = 20 miles
Circumference = pi * 20 = 20 pi miles
90 / 360 * 20 pi = 15.7 mi
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Answers
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
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