Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation: 8 cups + 3 cups = 11 cups
So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply
each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,
3 cups x 4 = 12 cups
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation:
The equation for line j can be written as y+5=5(x+5). Line k includes the point (5,3) and is perpendicular to line j. What is the equation of line k?
Therefore , the solution of the given problem of equation comes out to be y = (-1/5)x + 4 is the required equation.
How do equations work?The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.
Here,
The given equation of line j is y+5=5(x+5) which can be rewritten in slope-intercept form as y = 5x + 20.
Since line k is perpendicular to line j, the slope of line k will be the negative reciprocal of the slope of line j. The slope of line j is 5, so the slope of line k will be -1/5.
We are also given that line k includes the point (5,3). We can use this point and the slope of line k to find the equation of line k using point-slope form:
y - 3 = (-1/5)(x - 5)
Simplifying and rearranging, we get:
y = (-1/5)x + 4
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Q3. Find the surface area of this cuboid 5 cm 6 cm 10 cm
Answer:
The total surface area of the cuboid is 280.
Length: 5 cm
Width: 6 cm
Height: 10 cm
Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))
SATotal = 2*((l*h)+(h*w)+(l*w)) --> 2*((5*6)+(6*10)+(5*10))
SATotal = 280
What is 4 Tablespoons (4Tbsp) in Cups (cup)?
A tablespoon is a volume measurement unit based on a piece of flatware (symbol: Tbsp). The value of 4 tablespoons is equivalent to 0.25 cups.
A metric tablespoon is exactly 15 mL, but a tablespoon in the United States is around 14.8 mL.
In both the imperial and American customary systems of measurement, a cup is a unit of volume.
250 millilitres is the definition of a metric cup.
There are 4.25 tablespoons in 0.25 cups (4 tbsp).
You may use the formula below to convert tablespoons to cups:
16 tablespoons make create a cup.
So, you may divide 4 by 16 to convert 4 tablespoons to cups:
4 tbsp / 16 tbsp/cup equals 0.25 cups.
Hence, 4 tablespoons are equal to 0.25 cups.
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Each side of a regular hexagon measures 8 inches.
What is the exact area of the hexagon?
Enter your answer in the box.
The exact answer without rounding is 166.276877527
The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.
I added a picture below on how I got it and how it looked like!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Maths question, should be easy. 25 points, working out!
Answer:
Step-by-step explanation:
The two shorter sides are 52 cm in length
The two longer sides are 1.5 times the length of the shorter sides
= 52 x 1.5 = 78 cm
The two longer sides are 78 cm in length
Now, just add all the sides
52 + 52 + 78 + 78 = 260
The perimeter is 260 cm.
Solve please for one two three and four please
This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?
The correct answer as per the video that demonstrates the Monty Hall Problem is option C. 20. That is how many times the men perform each strategy A and B.
Goats can be found behind two curtains and one behind each door.
Anytime a contestant selects a curtain, one of the certain to curtains informs the contestant that a goat was hiding behind all of this.
The contestant must choose one of two curtains, one of which has a car in it and the other of which has a goat on it. Therefore, there is an equal chance of. choosing either a goat or a car.
Similar to that, provided.
Probability A for strategies and tactics is 10%, or 2 out of every 20 trials.
80% of Strategy B's chance is equal to 16 accomplishments spread across 20 directions.
Thus,
16 success = 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success
Taking the common factor,
16 success = 8 (2 success)
Taking percentage on both sides,
80% = 8×10%
80% = 80%
Hence, the result value is as expected.
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Note that the full question is:
This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?
A. 3
B. 10
C. 20
D. 40
given that count is an integer and count = 0, the following for-loop is an infinite loop. for (int j = 0; j < 1000; ) count++;
The loop will keep executing infinitely, leading to an infinite loop.
What is for loop ?
For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.
Yes, the given for-loop is an infinite loop.
The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.
Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.
Hence, the loop will keep executing infinitely, leading to an infinite loop.
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Consider the expansions for expressions of the form (cy-3)^4, where c is equal to or less than 1.
For the case where c=1, determine the expansion of (y-3)^4.
For the case where c>1, how many times greater will the third term in the expansion of (cy-3)^4 be than in the expansion of (y-3)^4? Explain your answer.
The third term in the expansion of [tex](cy - 3)^{4}[/tex] is c² times greater than the third term in the expansion of [tex](y - 3)^{4}[/tex].
What is Expression ?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.
Now in the given question ,
When c = 1, we have:
[tex](y - 3)^{4}[/tex] =[tex]y^4 - 12y^3 + 54y^2 - 108y + 81[/tex]
When c > 1, we have:
[tex](cy - 3)^4 = c^4y^4 - 12c^3y^3 + 54c^2y^2 - 108cy + 81[/tex]
Expanding [tex](y - 3)^4[/tex] and [tex](cy - 3)^4[/tex], we can see that the third term in each expansion is:
[tex]54y^2[/tex] for [tex](y - 3)^4[/tex]
[tex]54c^2y^2[/tex] for [tex](cy - 3)^4[/tex]
To compare the third terms, we divide the third term in [tex](cy - 3)^4[/tex] by the third term in [tex](y - 3)^4[/tex]:
[tex](54c^2y^2) / (54y^2) = c^2[/tex]
So the third term in the expansion of [tex](cy - 3)^4[/tex] is c² times greater than the third term in the expansion of[tex](y - 3)^4[/tex].
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Given: cos(theta) = 0,6 ; 270° < theta < 360°
Find: 1) sin2(theta)
2) cos2(theta)
3) tan4(theta)
Additional tools usage solving this question is prohibited
Step-by-step explanation:
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]
To find sin(a),
[tex] \sin( \alpha ) = \sqrt{1 - \cos {}^{2} ( \alpha ) } [/tex]
[tex] \sin( \alpha ) = \sqrt{1 - (0.6) {}^{2} } [/tex]
[tex] \sin( \alpha ) = \sqrt{0.64} [/tex]
Since sin is negative in the interval (270,360)
[tex] \sin( \alpha ) = - 0.8[/tex]
Now we can find sin(2a)
[tex]2( - 0.8)(0.6) = - 0.96[/tex]
2. The identity for cos(2x) is
[tex]2 \cos {}^{2} (x) - 1[/tex]
We know cos x is 0.6 so we get
[tex]2(0.6) {}^{2} - 1 = - 0.28[/tex]
part 3:
[tex] \tan(4x) = \frac{2 \tan(2x) }{1 - \tan {}^{2} (2x) } [/tex]
[tex] \tan(2x) = \frac{ \sin( 2x) ) }{ \cos(2x) } = \frac{ - 0.96}{ - 0.28} = 24[/tex]
So we end up getting,
[tex] \tan(4x) = \frac{2(24)}{1 - (24) {}^{2} } [/tex]
[tex] \tan(4x) = \frac{48}{1 - 576} [/tex]
[tex] \tan(4x) = - \frac{48}{575} [/tex]
Repost the question, I made a computational mistake.
Jessica rode her bicycle 128 miles in 8 weeks, riding the same distance each week. Pablo rode his bicycle 95 miles in 5 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
Answer:
Jessica rode her bike 16 miles per week and Pablo rode his bike 17 miles per week.
Step-by-step explanation:
Answer:
Jessica's and Pablo's statement both are correctly comparing the number of miles they rode per week.
Step-by-step explanation:
You are told that Jessica rode her bicycle for 128 miles in 8 weeks and equally the same distance each week.
Therefore you can easy tell how much she rode her bicycle for 8 weeks by dividing 128 by 8 which is 16miles per week
While in Pablo's statement tell us the same as Jessica's statement since you can divide it like Jessica's statement 95 divided by 5 equals 19miles per week
in 2004,Kenenisa Bekele of ethiopia ran 5,000 meters in 12 minutes, 37.35
what is this distance to the nearest tenth of a mile
In 2004, as per the run, the distance to the nearest tenth of a mile is 3.11 miles.
The distance that Kenenisa Bekele of Ethiopia ran in 2004 is equal to 5,000 meters, which is equivalent to 3.11 miles to the nearest tenth of a mile. To calculate this distance, you can use a simple conversion formula.
To convert meters to miles, you need to divide the number of meters by 1609.34.
In this case, we would divide 5,000 meters by 1609.34, which gives us 3.11 miles.
=> 5000/ 1609.34 = 3.11 miles.
This is the total distance that Kenenisa Bekele ran in 2004 to the nearest tenth of a mile.
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the annual income for independent sales representatives in the united states is thought to be highly right-skewed with a mean equal to $144,300 and a standard deviation of $32,450. given this information, if a sample of 36 independent sales representatives is selected, what is the probability that the mean of the sample will exceed $130,000?
Answer: $275,000
Step-by-step explanation:
HELP DUE TONIGHT ?
An online furniture store sells chairs for $100 each and tables for $350 each. Every
day, the store can ship at most 18 pieces of furniture and must sell no less than
$3200 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.
The graph of the system of inequalities is on the image at the end, we can see that one solution is 10 tables and 5 chairs.
How to write and solve the system of inequalities?We know that an online furniture store sells chairs for $100 each and tables for $350 each.
The store can ship at most 18 pieces, and the must sell no less than $3200
Then if we define:
c = number of chairs.
t = number of tables
Then the system of inequality is:
c + t ≤ 18
c*100 + t*350 ≥ 3200
The graph of that system of inequalities can be seen below, the solutions are in the doble shaded region, then for example one solution is:
c = 5
t = 10
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How do you know when you have understood a math concept???????
pls help me solve theseee i’ll mark brainliest
The scale factor of the dilation that takes P to Q is,
⇒ 4/5
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
⇒ Quadrilateral P and Q are similar.
Hence, The scale factor of the dilation that takes P to Q is,
⇒ 2 / 2.5
⇒ 20 / 25
⇒ 4/5
Thus, The scale factor of the dilation that takes P to Q is, 4/5.
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Please help will mark branliest
If 35% of a number is 612.5, (or 612 1/2) what is the number
Answer:
1750
Step-by-step explanation:
Answer:
Step-by-step explanation:
the anser is g(x)=1half5 xto the 2nd power
A system of equations is shown below.
y=2/3x−5
y=1/2x+3
How many solutions does the system have?
A.2 solutions
B.no solutions
C.infinite solutions
D.1 solution
The solution to the system is (x,y) = (48,19).
To find the solutions to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously. One way to do this is to set the two expressions for y equal to each other and solve for x:
2/3x−5 = 1/2x+3
Multiplying both sides by 6 (the least common multiple of 3 and 2) to clear the fractions, we get:
4x - 30 = 3x + 18
Simplifying, we get:
x = 48
Now that we know x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:
y = 2/3(48) - 5 = 19
So the solution to the system is (x,y) = (48,19).
Since there is exactly one solution, the answer is (D) 1 solution.
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in a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks are required?
Answer:
To find your answer, you will divide 252 by 123, and then multiply it by 10:
252 / 12 = 21
21 * 10 = 210
210 soft drinks are required.
Step-by-step explanation:
Hope it helps! =D
Determine which differential equation corresponds to each phase line. You should be able to state briefly how you know your choices are correct.a. dydt=3y−y2b. dydt=y(2−y)2c. dydt=y2|y−2|d. dydt=y2−3ye. dydt=4y−y3f. dydt=2y−y2g. dydt=y(y−2)h. dydt=y3−4y
to determine the stability of the equilibrium solutions Consider the autonomous differential equation
dydt=f(y).
The equilibrium solutions are obtained by solving
f(y)=0 for y.
Let
c1,c2,⋯,cn
be the equilibrium solutions.
Plot
c1,c2,⋯,cn
on the real number line, and create a phase line using the signs of
f(y)
by drawing a left arrow on the interval where
f(y)<0
, and right arrows where
f(y)>0.
Use the phase line to determine the stability of the equilibrium solutions as follows.
If both arrows point toward the equilibrium solution, it is stable.
If both arrows point away from the equilibrium solution, it is unstable.
If one arrow points towards the equilibrium solution and one points away from it, it is semi-stable.
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A 19 ft rope is tied from the top of a tent pole to a stake 11 ft away. To the nearest degree, what is the angle of elevation from the stake up to the tent pole?
The angle of elevation from the stake up to the tent pole is, 54.55°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.
Also, The state is 11 feet away and it is the adjacent length.
We know, cos = adjacent/hypotenuse.
cos = 11/19.
Ф = cos⁻¹(0.58).
Ф = 54.55°.
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Evan volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 433 people went to The Youth Wing, 335 people went to Social Issues, and 367 went to Fiction and Literature.
On Sunday, the library had 600 total visitors. Based on what Evan had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.
Answer: Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.
Step-by-step explanation:
To estimate how many people to expect in the Fiction and Literature section on Sunday, we can assume that the proportion of visitors to each section remains the same as it was on Saturday.
First, we need to calculate the total number of visitors on Saturday:
433 (Youth Wing) + 335 (Social Issues) + 367 (Fiction and Literature) = 1135
Next, we can find the proportion of visitors to the Fiction and Literature section:
367 (Fiction and Literature) / 1135 (total visitors on Saturday) ≈ 0.323
We can use this proportion to estimate the number of visitors to the Fiction and Literature section on Sunday:
0.323 (proportion of visitors to Fiction and Literature) x 600 (total visitors on Sunday) ≈ 194
Rounding to the nearest whole number, we can estimate that about 194 people should be expected to visit the Fiction and Literature section on Sunday.
Carlos uses a food delivery service to order lunch. He paid $13.75 for lunch, which included the cost of the food and a delivery fee, which is 10% of cost of the food.
What was the cost of Carlos' lunch before the delivery fee?
Enter your answer in the box.
Answer: $12.50
Step-by-step explanation:
10% of 12.50 is 1.25
add and get 13.75
Find g.
60°
6 km
9
30°
Write your answer in simplest radical form.
kilometers
Answer:
4√3 or 6.9282Km
Step-by-step explanation:
Let the triangle be ABC, right angled at B
Angle A = 60 degrees
Angle C = 30 degrees
BC = 6 km
To find AB,
Tan30°=AB/BC
Now we know that tan30° is 1/√3 so,
1/√3 = AB / 6
6/√3 = AB
6√3/3 =AB
2√3 = AB
Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g
AB² + BC² = AC²
(2√3)² + 6² = g²
12 + 36 = g²
48 = g²
Therefore g = √48km or 4√3km or 6.9282Km
Finally, Jade deployed her canopy and began descending at a constant rate of 40 meters every 5 seconds. It took her exactly 57 seconds to reach the ground. How can she determine how high above the ground she was when she deployed her canopy? i need this asap
Jade was 416 meters above the ground when she deployed her canopy.
What is kinematics?
kinematics, specifically the equation of motion for constant velocity, to solve the problem of finding the height above the ground when a person deploys their canopy while descending.
We can use the formula:
height = rate x time
To determine how high Jade was above the ground when she deployed her canopy. Let's denote the height she was at when she deployed her canopy as "h".
From the given information, we know that Jade descended at a constant rate of 40 meters every 5 seconds, so her rate of descent is 40/5 = 8 meters per second.
We also know that it took her exactly 57 seconds to reach the ground. Therefore, the time she spent descending with her canopy deployed is 57 - 5 = 52 seconds.
Using the formula, we can write:
h = 8 x 52
Simplifying this equation gives us:
h = 416
Hence, Jade was 416 meters above the ground when she deployed her canopy.
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What is the conversion of 28 inch to cm ?
The conversion of 28 inch to cm is 71.12 cm.
Kilometer (km) and mile are both units of distance or length, but they are used in different parts of the world.
A kilometer is a metric unit of length used in most countries outside the United States. It is defined as 1,000 meters, or approximately 0.62 miles.
To convert inches to centimeters, you can use the conversion factor of 1 inch = 2.54 centimeters.
So, to convert 28 inches to centimeters, you can multiply 28 by 2.54:
28 inches * 2.54 cm/inch = 71.12 cm
Therefore, 28 inches is approximately equal to 71.12 centimeters.
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Anita bought her phone one year ago for $400, and she wants to eventually sell it to help pay for an upgrade. She checked the manufacturer's website and found that her phone is currently valued at $308, and it will continue to depreciate each year.
Write an exponential equation in the form y - a(b)* that can model the value of Anita's phone, y, × years after purchase.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
Answer:
y= 400(0.77)^x
Step-by-step explanation:
The value decreases by 23% from,400 to 308 in 1 year. so if this continues then the equation would be y=400(0.77)^x.
The 0.77 comes from decaying 23%, meaning 1-0.23 = 0.77
this is just a quick addition to the good reply above by "varnanaik"
so she bought it for 400 bucks, but hell a year later went down to 308? Let's find the rate of depreciation
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 308\\ P=\textit{initial amount}\dotfill &\$400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]308 = 400(1 - \frac{r}{100})^{1} \implies \cfrac{308}{400}=1-\cfrac{r}{100}\implies \cfrac{77}{100}=\cfrac{100-r}{100} \\\\\\ 77=100-r\implies r+77=100\implies r=\stackrel{ \% }{23} \\\\[-0.35em] ~\dotfill\\\\ A=400(1-\frac{23}{100})^x\implies A=400(1-0.23)^x\implies {\Large \begin{array}{llll} A=400(0.77)^x \end{array}}[/tex]
Am I a function? Explain how you know it is or isn't a function.
Answer:
Function.
Step-by-step explanation:
This graph is a function because all points on the line are different and do not intersect. (vertical line test)
Hope it helped!
Need help with this world problem, ss is attached as well!
Find the numbers of bags of potting soil that a company can produce for seedlings, general potting, and hardwood plants with the given amounts of raw materials. The raw materials used in one bag of each type of potting soil are shown below.
Sand Loam Peat Moss
Seedlings 2 units 1 unit 1 unit
General 1 unit 2 units 1 unit
Hardwoods 2 units 2 units 2 units
450 units of sand
450 units of loam
360 units of peat moss
Company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants. The solution has been obtained by using linear equation.
What is a linear equation?
The degree of the linear equation is 1. It is very clear that linear equations with exponents greater than one lack variables. The equation for this graph yields a straight line.
Let S be the bags of seedlings, G be for general potting, and H be for hardwood plants.
It is given that each bag of seedling soil needs 2 units of sand, each bag of general soil needs 1 unit of sand, and each bag of hardwood soil needs 2 units of sand. We have 450 units of sand.
So, from this we get
2S + G + 2H = 450 ...(1)
Similarly, for units of loam and peat moss, we get the equations as
S + 2G + 2H = 450 ...(2)
S + G + 2H = 360 ...(3)
Now, on subtracting (3) from (2), we get
G = 110
On substituting this, we get
2S + 2H = 360 ...(4)
S + 2H = 230 ...(5)
S + 2H = 250 ...(6)
Now, we subtract (2) from (1), we get
S = 130
On substituting this in equation (5), we get
130 + 2H = 230
2H = 100
H = 50
Hence, company can produce 130 bags of seedlings, 110 bags of general plotting and 50 bags of hardwood plants.
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