Answers
Answer:
e
Step-by-step explanation:
[tex]volume~of~cone=\frac{1}{3}volume ~of~cylinder\\volume~of~cylinder=3 \times volume ~of~cone=3 \times15=45 \\volume ~of~two~cylinders=2 \times45=90[/tex]
Related Questions
Directions: Find the missing angle in each of the following problems.
1. QR = 36 ; PR = 45 ; PQ = 21, Sin __?___ = 21 / 45
2. QR = 16 ; PR = 2 ; PQ = 8, tan __?__ = 8 / 16
3. QR = 15 ; PR = 28 ; PQ = 15, Cos __?__ = 15 / 28
4. QR = 47 ; PR = 64 ; PQ = 38, tan __?__ = 38 / 47
5. QR = 4 ; PR = 17 ; PQ = 12, Sin __?___ = 12 / 17
6. QR = 36 ; PR = 59 ; PQ = 20, Cos __?___ = 36 / 59
7. QR = 82 ; PR = 63 ; PQ = 29, tan __?__ = 29 / 82
8. QR = 10 ; PR = 28 ; PQ = 8, Sin __?___ = 8 / 28
9. QR = 51 ; PR = 42 ; PQ = 9, tan __?__ = 9 / 51
10. QR = 16 ; PR = 20 ; PQ = 17, Cos __?___ = 16 / 20
11. QR = 12 ; PR = 84 ; PQ = 60, Sin __?_ = 60 / 84
12. QR = 19 ; PR = 32 ; PQ = 45, Cos __? = 19 / 32
13. QR = 76 ; PR = 27 ; PQ = 64, tan __ ?_ = 64 / 76
14. QR = 26 ; PR = 48 ; PQ = 37, Cos __?_ = 37 / 48
15. QR = 19 ; PR = 66 ; PQ = 23, Cos __?__= 23 / 66
Answers
The missing angles are listed below:
sin 27.818° = 21 / 45
tan 26.565° = 8 / 16
cos 57.607° = 15 / 28
tan 38.956° = 38 / 47
sin 44.901° = 12 / 17
cos 52.398° = 36 / 59
tan 19.477° = 29 / 82
sin 16.601° = 8 / 28
tan 10.008° = 9 / 51
cos 36.870° = 16 / 20
sin 35.538° = 60 / 84
cos 53.576° = 19 / 32
tan 40.101° = 64 / 76
cos 39.571 = 37 / 48
cos 69.605° = 23 / 66
How to find the measure of missing angles by definition of inverse of trigonometric functions
In this question we must find the measure of the angle associated to the rational numbers seen in the statement. There are two methods to estimate such measures: (i) Drawing an equivalent right triangle and estimate the measure of the angle by definition of trigonometric functions, (ii) Using inverse trigonometric functions and numerical methods since they are trascendent variables.
Herein we decided to use the second method by reasons of rapidness and effectivity:
sin 27.818° = 21 / 45
tan 26.565° = 8 / 16
cos 57.607° = 15 / 28
tan 38.956° = 38 / 47
sin 44.901° = 12 / 17
cos 52.398° = 36 / 59
tan 19.477° = 29 / 82
sin 16.601° = 8 / 28
tan 10.008° = 9 / 51
cos 36.870° = 16 / 20
sin 35.538° = 60 / 84
cos 53.576° = 19 / 32
tan 40.101° = 64 / 76
cos 39.571 = 37 / 48
cos 69.605° = 23 / 66
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The area of a circle is 28.26 square miles. What is the circle's diameter?
Use 3.14 for л.
miles
A = 28.26 miz
Answers
radius: 3.14r^2
28.26=3.14r^2
28.26/3.14=r^2
r^2=9
r=3
and we know that diameter is two times the radius so:
3*2=6
diameter equals 6.
if you want to check it plug back in:
3^2 * 3.14 = 28.26
hope this helped :)
Sarah is spending the day at a state fair. While at the fair, she can play games or ride rides. When Sarah arrives at the fair, she purchases 15 tickets and wants to use all of the tickets that she purchases. Playing a game at the fair requires three tickets, and riding a ride at the fair requires six tickets. To make her trip to the fair worthwhile, Sarah decides she must participate in seven activities at the fair.
Answers
Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.
How are the additional (missing) tickets determined?The additional tickets required by Sarah can be determined as follows:
Number of tickets purchased initially = 15
Number of tickets for playing a game = 3
Number of tickets for riding a ride = 6
Sarah can play five (5) games with 15 tickets (15/3).
Sarah can then purchase 12 additional tickets (6 x 2).
The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.
Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.
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Question Completion:How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?
can someone give the exact answer for all the blanks
Answers
Considering the given function, we have that:
f(a) = 4 - 2a + 6a²f(a + h) = 6a² + 12ah + 6h² - 2a - 2h + 4.[f(a + h) - f(a)]/h = 12a + 6h - 2.What is the function for this problem?The function is:
f(x) = 4 - 2x + 6x².
When x = a, we have that:
f(a) = 4 - 2a + 6a².
When x = a + h, we have that:
f(a + h) = 4 - 2(a + h) + 6(a + h)² = 6a² + 12ah + 6h² - 2a - 2h + 4.
For the fraction, we have that:
[f(a + h) - f(a)]/h = [6a² + 12ah + 6h² - 2a - 2h + 4 - 4 + 2a - 6a²]/h = [12ah + 6h² - 2h]/h = h(12a + 6h - 2)/h
Hence:
[f(a + h) - f(a)]/h = 12a + 6h - 2.
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Give the standard form for 7000+300+40+2
Answers
Answer:
7×10³+3×10²+4×10¹+2×10 or 7.342×10³
What are place values?
Place values are representative digit placeholders of numbers that, when adding a 0 behind them, can show a true value. In this problem, four place values are used to show the expanded variant of 7,342. We know this is the standard form because there are four digits that are to the left of the decimal point; 7 is in the thousands place, which as a number converts to 7 x 1,000. When multiplying 7 by 1,000, we will find that we receive 7,000. Because the thousands place is four digits to the left of the decimal point and can only be a placeholder for one number at a time, we say that 7 represents this number’s thousands digit. 3 is in the hundreds place, meaning that we can find its value through multiplication of 3 by 100. 3 x 100 is 300, and we can use 3 as the representative of the hundreds place. The same rule applies for 4; it is in the hundreds place and can be verified by multiplying 4 by 10. 4 x 10 is 40, and we can leave the 4 out because it is the only value other than 0. And lastly, there is 2. 2 is in the ones place, and it can be left alone because anything multiplied by one equals the number that was multiplied by one. Given this multiplication rule, 2 x 1 = 2. We can leave 2 alone. Adding 7,000, 300, 40, and 2 gives us 7,342 as our total. If you need any extra help, let me know and I will gladly assist you.
domain of f(x)=(1/4)^x
What is the domain of f(x)
O A. x>0
OB. All real numbers
O C. y>0
O D. x<0
? Need help asap
Answers
Answer: B
Step-by-step explanation:
The domain of a function is the set of x-values.
Admission into an amusement park for 4 children
and 2 adults is $116.90. For 6 children and 3 adults,
the admission is $175.35. Assuming a different price
for children and adults, what is the price of the child's
ticket and the price of the adult ticket?
Answers
Answer:
A child ticket costs $16.50 and an adult ticket costs $25.45.
It is found that the child ticket costs $16.50 and an adult ticket costs $25.45.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that 4 children and 2 adults are $116.90. For 6 children and 3 adults, the admission is $175.35.
Assuming a different price for children and adults,
Let the children are x and the adult is y.
Therefore,
4x + 2y = 116.90
6x + 3y = 175.35
Hence, the child ticket costs $16.50 and an adult ticket costs $25.45.
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What is the sum of 3x^3-2x+8,2x^2+5x,and x^3+2x^2-3x-3
Answers
Answer:
4x³ + 4x² + 5
Step-by-step explanation:
3x³ - 2x + 8 + 2x² + 5x + x³ + 2x² - 3x - 3.
4x³ - 2x + 8 + 2x² + 5x + 2x² - 3x - 3
4x³ + 4x² - 2x + 8 + 5x - 3x - 3
4x³ + 4x² + 8 - 3
4x³ + 4x² + 5
what is 4.685 in expanded form
Answers
Answer:
4*1/1000+6*100+8*10+5*1
Step-by-step explanation:
Information about a play took up 1/3 of the pages in the program. Information about the actors took up 1/4 of the remaining pages. Information about the director, the producer, and the designer took up 2 pages, the same number of pages devoted to the actors. How many pages were there in the program? help pls
Answers
Answer: 4
Step-by-step explanation:
x - (1/3)x - (1/6)x = 2
(6x - 2x - x)/6 = 2
3x/6 = 2
x=4
A recent survey by the U.S. Census Bureau determined that the median monthly housing rent was $628. If the first quartile for monthly housing rent was $481, find the percent of monthly housing rents that were the following values.
(a) more than $481
%
(b) less than $628
%
(c) between $481 and $628
%
Answers
Pls help me with this calculus question
Answers
Answer:
5
Step-by-step explanation:
Gradient (slope) of the curve can be found by deriving a curve function.
In this scenario, the given function is a polynomial function which we can use Power Rules to derive it.
Power Rules
[tex]\displaystyle{y=ax^n \to y' = nax^{n-1}}[/tex]
Thus, using the power rules, we will have:
[tex]\displaystyle{y'=3x^2-4x+5}[/tex]
Note that deriving a constant will always result in 0.
Then the problem gives us that we want to find the slope or gradient at where the curve crosses y-axis.
The curve crosses y-axis at x = 0 only. Therefore, we substitute x = 0 in a derived function.
[tex]\displaystyle{y'(0) = 3(0)^2-4(0)+5}\\\\\displaystyle{y'(0) = 5}[/tex]
Therefore, the slope at the point where a curve crosses y-axis will be 5.
divide 360 in the ratio 1:7
Answers
Answer:
45:315
Step-by-step explanation:
Add up the ratio to get the total ratio.
1+7=8
Divide the 360 by the total ratio.
360÷8=45
The number 45 tells you how many times to multiply both sets of the ratio to get a total of 360.
1×45=45
7×45=315
so,
45:315
Hope this helped. Comment below if you need more assistance! :)
Will mark brainliest
Answers
a. The area on [0, 10] is that of a trapezoid with bases 5 and 15 and height 10, so
[tex]\displaystyle \int_0^{10} f(x) \, dx = \frac{5+15}2\cdot10 = \boxed{100}[/tex]
b. By linearity of the definite integral, we have
[tex]\displaystyle \int_0^{25} f(x)\,dx = \int_0^{10} f(x)\,dx + \int_{10}^{25} f(x)\,dx[/tex]
and the area on [10, 25] is another trapezoid with bases 15 and 7.5 and height 15, so that
[tex]\displaystyle \int_{10}^{25} f(x)\,dx = \frac{15+7.5}2\cdot15 = 168.75[/tex]
Then the total area on [0, 25] is
[tex]\displaystyle \int_0^{25} f(x)\,dx = \boxed{268.75}[/tex]
c. The area on [25, 35] is that of a triangle with base 10 and height 15. However, [tex]f(x)<0[/tex] on this interval, so we multiply this area by -1 to get
[tex]\displaystyle \int_{25}^{35} f(x)\,dx = -\frac{10\cdot15}2 = \boxed{-75}[/tex]
d. The area on [15, 25] is the same as the area on [25, 35] because it's another triangle with the same dimensions. But the area on [15, 25] lies above the horizontal axis, so
[tex]\displaystyle \int_{15}^{25} f(x)\,dx = \int_{15}^{25} f(x)\,dx + \int_{25}^{35} f(x)\,dx = \boxed{0}[/tex]
e. The plot of [tex]|f(x)|[/tex] lies above the horizontal axis. We know the area on [15, 25] is the same as the area on [25, 35], but now both areas are positive, so
[tex]\displaystyle \int_{15}^{35} |f(x)| \, dx = \int_{15}^{25} f(x)\,dx - \int_{25}^{35} f(x)\,dx = 2 \int_{15}^{25} f(x)\,dx = \boxed{150}[/tex]
f. Changing the order of the limits in the integral swaps the sign of the overall integral, so
[tex]\displaystyle \int_{10}^0 f(x)\,dx = -\int_0^{10} f(x)\,dx = \boxed{-100}[/tex]
A motorist travels from town A to town B, which are 84km apart. If he has completed 7/8 of his journey, what is the distance he has travelled?
Answers
The distance that he has traveled exists 73km 500m.
What is the distance?
Distance exists described as the amount of space between two items or the condition of existing far apart. The distance of an object can be described as the complete path traveled by an object.
Given: A motorist travels from town A to town B, which exists 84km apart. He has finished 7/8 of his journey.
To estimate the distance that he has traveled
He covered 7/8 out of 84 km
So, 7/8 × 84 = 73.5 km
The distance he has traveled = 73 km 500 m
Therefore, the distance that he has traveled exists 73km 500m.
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Danni thinks of a number. She subtracts 2 then multiples the result by 8. The answer is the same as subtracting 5 from the number then multiplying by 16. What is the number did Danni think of?
Answers
Answer:
8
Step-by-step explanation:
let the number=x
8(x-2)=16(x-5)
divide by 8
x-2=2(x-5)
x-2=2x-10
2x-x=-2+10
x=8
Given: m space measured angle space C space equals space 76, a = 20, and b = 13. What is the length of c to the nearest tenth?
Answers
Based on the given parameters, the length of c is 8.0 units
How to determine the side length of c?The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
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Question
A scientist needs 60 liters of a 40% solution of alcohol. He has a 30% solution and a 60% solution available.
How many liters of the 30% solution and how many liters of the 60% solution should he mix to make the 40% solution?
Provide your answer below:
30% solution: liters, 60% solution:
4 Previous
liters
ba
77°F 940)
I
9:0
8/2
Answers
Answer:
40 liters of 30% solution.
20 liters of 60% solution.
Step-by-step explanation:
Let x = amount of 30% solution.
Let y = amount of 60% solution.
Equation of amounts of solutions.
x + y = 60
Equation of amounts of alcohol in the solutions.
0.3x + 0.6y = 0.4 × 60
x = 60 - y
0.3(60 - y) + 0.6y = 24
18 - 0.3y + 0.6y = 24
0.3y = 6
y = 20
x + y = 60
x + 20 = 60
x = 40
Answer:
40 liters of 30% solution.
20 liters of 60% solution.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of liters of the 30% solution and the number of liters of the 60% solution to mix to make the 40% solution is 40 liters and 20 liters.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
Let 30% solution = m
Let 60% solution = n
Now,
A scientist needs 60 liters of a 40% solution of alcohol.
He has a 30% solution and a 60% solution available.
This means,
m + n = 60 _____(1)
30% of m + 60% of n = 40% of 60
0.30m + 0.60n = 0.40 x 60
0.30m + 0.60n = 24 ____(2)
From (1) and (2) we get,
m + n = 60
m = 60 - n _____(3)
Putting (3) in (2) we get,
0.30m + 0.60n = 24
0.30(60 - n) + 0.60n = 24
18 - 0.30n + 0.60n = 24
18 + 0.30n = 24
0.30n = 24 - 18
0.30n = 6
n = 6/0.30
n = 20
Putting n = 20 in (3) we get,
m = 60 - 20
m = 40
Now,
The number of liters of the 30% solution is 40.
The number of liters of the 60% solution is 20.
Thus,
The number of liters of the 30% solution and the number of liters of the 60% solution to mix to make the 40% solution is 40 liters and 20 liters.
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Karsten is preparing his will. He wants to leave the same amount of money to his two daughters. His elder daughter is careful with money, but the younger daughter spends it carelessly, so he decides to give them the money in different ways. How much must his estate pay his younger daughter each month over 20 years, so that the accumulated present value will be equal to the $50000 cash his elder daughter will receive upon his death? Assume that the younger daughters inheritance earns 6%/a compounded monthly
Answers
The amount that Karsten's estate should pay his younger daughter each month over 20 years so that the accumulated present value will be equal to $50,000 is $358.22.
How to calculate periodic payments?The monthly payments out of the present value of $50,000 can be computed using an online finance calculator.
The periodic payment represents the equal amount that can be paid to the daughter monthly so that it equals the PV of $50,000 of the estate share.
Data and Calculations:N (# of periods) = 240
I/Y (Interest per year) = 6%
PV (Present Value) = $50,000
FV (Future Value) = $0
Results:
Monthly Payment = $358.22
Sum of all periodic payments = $85,971.73 ($358.22 x 2400
Total Interest = $35,971.73
Thus, Karsten's younger daughter can be paid $358.22 to equal the accumulated present value of $50,000.
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During a drought, the water level in a reservoir dropped 3 in. each week for 5 straight weeks. Express the overall change in water level as a signed number.
Answers
Answer:
v = -3w
Step-by-step explanation:
water level/volume = -3 x weeks
v = -3w
z=2cispi/3 in rectangular form
Answers
The conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.
What is a polar coordinate?A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
How to transform polar coordinates to rectangular coordinates?In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:
a = rcos(θ) ....equation 1.
b = rsin(θ) ....equation 2.
Where:
θ is the angle.r is the radius of a circle.Note: The exact value of cos(π/3) is equal to ½.
Substituting the given parameters into the formula, we have;
z = 2(½)
z = 2/2
z = 1.
In conclusion, we can logically deduce that the conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.
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Complete Question:
Convert z = 2(cos(π/3)) in rectangular form
(2 Fruit juice A is composed of 2 parts apple juice and 1 part grape juice.
Fruit juice B is composed of 1 part apple juice and 2 parts grape juice.
When A and B are mixed, the new mixture has 10 kg of apple juice and
8 kg of grape juice. How many kilograms does each type of original
fruit juice weigh
Answers
The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape
How to Solve Algebra Word Problems?
The concentrations of apple and grape juice in the two different juice types are given as;
Juice A:
(2/3) apple
(1/3) grape
Juice B:
(1/3) apple
(2/3) grape
Let a be how much juice A is in the mixture;
Let b be how much juice B is in the mix.
Thus;
²/₃a + ¹/₃b = 10 ------(eq 1)
¹/₃a + ²/₃b = 8 ------(eq 2)
Solving both equations simultaneously gives us;
a = 12 and b = 6
Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape
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If you are taking a 3 credit college class and fail, and you have a 3.3 GPA. How mush will it affect it?
Answers
Answer:
it depend on your total credit load u register, if it's d only credit load it affect your gpa alot
Find the value of 8!
Answers
Hey there!
8!
= 8(7)(6)(5)(4)(3)(2)(1)
= 56(6)(5)(4)(3)(2)(1)
= 336(5)(4)(3)(2)(1)
= 1,680(4)(3)(2)(1)
= 6,720(3)(2)(1)
= 20,160(2)(1)
= 40,320(1)
= 40,320
Therefore, your answer should be:
40,320
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
3-3x/4≥9 help please
Answers
Answer:
x ≤ −8
Step-by-step explanation:
Let's solve your inequality step-by-step.
3 - 3x/4 ≥ 9
Step 1: Simplify both sides of the inequality.
-3/4x + 3 ≥ 9
Step 2: Subtract 3 from both sides.
-3/4x + 3 - 3 ≥ 9 − 3
-3/4x ≥ 6
Step 3: Multiply both sides by 4/(-3).
(4/-3) * (-3/4x) ≥ (4/-3) * (6)
x ≤ −8
Answer:
x ≤ −8
For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is r(x)=-0.5(x-120)^2+7200. The maximum capacity of the company is 170 items.
Answers
No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.
We are unable to produce zero items in one day.
Maximum available output = 2300
The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,
What is the maximum capacity of a company?Generally, The greatest level of production that a firm is able to maintain in order to provide its goods or services is referred to as its capacity. Capacity may refer to a manufacturing process, the distribution of human resources, technological thresholds, or any one of a number of other related ideas, depending on the sort of company being discussed.
In conclusion, No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.
We are unable to produce zero items in one day.
Maximum available output = 2300
The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,
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Mrs. Smith has a total of 28 kids in her class. There are 5 more boys than there are girls. Write a system of equations to model this.
Answers
Answer:
x+(x+5)=28
Step-by-step explanation:
girls(g)should be equal to x
boys(b) will therefore be x+5
x+(x+5)=28
There are 40 students in a class. 30 of them can swim while the rest are non-swimmers. i) ii) What percentage of the students can swim? What percentage of the students cannot swim?
Answers
Answer:
The percentage of the students that can swim is 75%
The percentage of students that can't swim is 25%
Step-by-step explanation:
100÷40=2.5
2.5×30=75
The percentage of the students that can swim is 75%
100-75=25
The percentage of students that can't swim is 25%
Please comment below if you don't understand or want me to clarify. :)
Question: 2 Based on the mass of lactose of 0.28 grams in 1 mL of skim milk, calculate the percent composition of lactose in skim milk.
Answers
Considering the definition of mass volume percent, the percent composition of lactose in skim milk is 28%.
Mass volume percentThe concentration of solutions is the amount of solute contained in a given amount of solvent or solution. In other words, the relationship between the amount of solute and the amount of solvent is called concentration.
Mass volume percent (% m/V) is a measure of concentration that indicates the number of grams of solute in each 100 mL of solution.
In other words, mass-volume percent is an intensive property that is defined as the mass of solute (in grams) that there are in 100 mL of solution and it is calculated by applying the following equation:
[tex]Mass volume percent=\frac{mass solute (grams)}{volume solution (mL)}x100[/tex]
This is, mass volume percent is defined as the ratio of the mass of solute that is present in a solution, relative to the volume of the solution, as a whole.
Percent composition of lactose in skim milkIn this case, you know:
mass solute= 0.28 gramsvolume solution= 1 mLReplacing in the definition of mass volume percent:
[tex]Mass volume percent=\frac{0.28 grams}{1 mL}x100[/tex]
Solving:
mass volume percent= 28 %
Finally, the percent composition of lactose in skim milk is 28%.
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a chef uses 5 2/5 pounds of ground beef to make a hamburger and 2 1/4 pounds of ground beef to make meatloaf. the ground beef comes in 1/2 pound packages. how many packages of ground beef are needed to make hamburgers and meatloaf?
Answers
Answer:
16 packages
Step-by-step explanation:
5 2/5 + 2 1/4 Use the common denominator of 20
5 8/20 + 2 5/20
7 13/20
I know that I will need 14 packages for the 7 pounds. For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.
14 + 2 = 16
