Answer:
12x -36yz
Step-by-step explanation:
hope this helps!
Hello!
In order to simplify this expression, all we have to do is multiply 3 times the terms inside the parentheses:
3(4x-12yz)
12x-36yz
That's the final answer, because there are no like terms here, so we cannot simplify this expression any further.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
WILL GIVE BRAINLIEST! Please help
Waterbrook Farm Includes 240 acres of cropland. The farm owner wishes to plant this
acreage in both corn and soybeans. The profit per acre in com production is $325 and
In soybeans is $180. A total of 320 hours of labor is available. Each acre of com
requires 2 hours of tabor, whereas each acre of soybeans requires 1 hour of labor.
Lot x = the number of acres planted with corn.
Let y = the number of acres planted with soybeans.
1) What would the farm's profits be if they planted only corn?
2) What would the farm's profits be if they planted only soybeans?
3) Find the equation for the Waterbrook Farm's profit (P = ),
4) Make a system of inequalities based off the constraints of the Farm.
5) In DESMOS. graph the system of inequalities
6) How should the land be divided between the corn and soybeans in order to yield
the mamum profit?
7) What is the maximum profit of planting both com and soybeans for the Farm?
Answer:
1) $52,000
2) $43,200
3) P = 325 × x + 180 × y
4) x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Please find a similar graph created with MS Excel
6) Corn will have 80 acres
Soybean will have 160 acres
7) $54,800
Step-by-step explanation:
The acres of cropland at the Waterbrook Farm, A = 240 acres
The profit per acre in corn production, p₁ = $325
The profit per acre in soybean production, p₂ = $180
The hours of labor required by each acre of corn = 2 hours
The hours of labor required by each acre of soybeans = 1 hours
The number of acres planted with corn = x
The number of acres planted with soybeans = y
1) The farm's profit, 'P', if they planted only corn is P = p₁ × A
∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000
The farm's profit if they planted only corn, P = $52,000
2) The farm's profit, 'P', if they planted only corn is P = p₂ × A
The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor
Therefore, the labor is sufficient for the entire farmland, we get;
The profit, P = $180/acre × 240 acres = $43,200
∴ The farm's profit if they planted only soybeans, P = $43,200
3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;
P = 325 × x + 180 × y
4) The system of inequalities includes;
x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Using DESMOS, we have;
The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found
6) The maximum profit point found using DESMOS is (80, 160)
Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans
7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;
P = 325 × 80 + 180 × 160 = 54,800
The maximum profit of planting both corn and soybeans, P = $54,800.
Measuring the drug use of the residents of a city has always been difficult. In the past, current drug use was estimated from questionnaire responses, but due to the social stigma associated with drug use, a large amount of response bias was known to be present. A proposed method for measuring a city's current drug is to measure the amount of drugs detected in the inflow to the city's wastewater treatment facility. This method was used to compare the Marijuana usage, through the measurement of the active ingredient THC-COOH, of London versus Milan over a 3 week period. Samples were made at randomly chosen times throughout the day for 21 consecutive days in both cities. Units are mg/day/1,000 people. What are the two independent samples
Aisha has an aquarium that can hold 150 cubic feet of water. The aquarium is 3 ft high. Which of the following could be the dimensions of the base.
A. 4 ft by 12 ft.
B. 5 ft by 12 ft.
C. 6 ft by 7ft.
D. 10 ft by 15 ft
Answer:
B. 5 ft by 12 ftStep-by-step explanation:
Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.
The base area is:
150/3 = 50 square feetThe answer options:
A. 4 ft x 12 ft = 48 sq ft < 50sq ft, noB. 5 ft x 12 ft = 60 sq ft > 50 sq ft, yesC. 6 ft x 7 ft = 42 sq ft < 50 sq ft, noD. 10 ft x 15 ft = 150 sq ft > 50 ft, no as too bigHELP PLEASE !!!
A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 12 slips at random and looks at them.
These were the results: yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes
Estimate the proportion of all shoppers who were happy with their experience that day.
On a different day, the owner found that 25% of the 12 selected slips were marked "Yes." Should the store owner believe that these two results reasonably represent the overall proportion of happy shoppers, or should the owner gather more data? Explain how you know.
Answer: the owner should gather more.
Step-by-step explanation:
So they can have more overall data to make sure they are correct.
The owner should gather more data.
What is proportion?"A proportion is an equation in which two ratios are set equal to each other."
Consider given situation,
The results on the first day: { yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes}
Total slips = 12
number of slips marked yes: n(Yes)
On day 1, n(Yes) = 8
So, the proportion of happy shoppers would be,
= 8/12
= 67.7%
This means, approximately 68% of the 12 selected slips were marked "Yes"
On a different day, the owner found that 25% of the 12 selected slips were marked "Yes"
This means the percentage of happy shoppers decreased.
From these two results we cannot determine where people are happy shoppers or not.
So, the owner should gather more data.
Learn more about proportion here:
https://brainly.com/question/6204741
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is it possible to make a triangle that has the angles measuring 60° 30° and 45°
Answer:
No.
Step-by-step explanation:
It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135
Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.
What is the value of x to the nearest tenth?
29.6
X
73°
33°
help please. it would really help if someone explained
3. Find the measure or arc JK.
Hint - arc LK is a semi circle
A.) 90
B.) 116
C.) 128
D.) 130
Answer:
C
Step-by-step explanation:
KL = 180°
JL = 2×26° = 52°
KL = KJ + JL
KJ = KL - JL
KJ =180° - 52°
KJ = 128°
Please help! I need this asap! Thank you. (^-^)
Answer:
b
Step-by-step explanation:
Please help My brain needs help!
Answer: c
Step-by-step explanation: there is already 1/4 of the pie and we know that 80 people have chosen 80, so the 3 left have to add up to 240.
27 students are going on a field trip and 1 student is staying at school. What is the ratio of
the number of students who are staying at school to the number of students who are going
on the field trip?
Answer: 1/28
Step-by-step explanation:
What is the range of the graph below?
Answer:
B) -4 < y
Step-by-step explanation:
The lowest point on the y axis of the graph is -4 and everything else is higher
Chakan worked at the warehouse after school. He earned $9.25 per hour stacking boxes. Which equation correctly relates Chakan’s total earning, d, to the number of hours he worked, h? (6.EE.9)
x a. d=9.25/h
x b. 9.25/d
x c. d = 9.25h
x d. h = 9.25d
Answer:
C. d=9.25h
Step-by-step explanation:
total earnings= 9.25 x number of hours worked
can someone help me real quick?
What is the value of this expression when X=-1 and Y = 2?
4x3y2
Answer:
-16
Step-by-step explanation:
4x3y2
replace variables with numbers
4×-1×2×2
-4×4=
-16
also need help with this one !
Answer:
m = 3
Step-by-step explanation:
I'm sure of it...
Hope it helps u !!!
Answer:
m=3
Step-by-step explanation:
If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).
Answer:
0.22 square units
Step-by-step explanation:
Area of the left over fabric = Area of the square piece - Area of the circle
let the side length of the square piece be 1 unit
Area of the square piece = 1 * 1
Area of the square piece = 1 square units
Area of the circle = πd²/4
d is the diameter of the circle = 1 unit (equivalent to the side length of the square)
Area of the circle = π(1)²/4
Area of the circle = 3.14/4
Area of the circle = 0.785square units
Area of the left over fabric = 1- 0785
Area of the left over fabric = 0.215 square units
Hence the amount of fabric that would be leftover is 0.22 square units
Answer:
0.22 square units
Step-by-step explanation:
Hope this helps
What is log152 rewritten using the power property?
Answer: Power property: That means the power m can be brought down to front of the logarithm.
Step-by-step explanation:
Logarithmic function, Log 152 can be written as Log 19 + 3 log2.
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bˣ is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
Given, A logarithmic function log152
Simplifying the Function,
=> log152
=> log( 19 * 8)
From the additional property of the log,
=> log 19 + log 8
=> log 19 + log2³
From the power property of the logarithmic
=> log 19 + 3 log2
Learn more about logarithmic functions here:
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56°
101°
Find the value of the missing angle a.
Answer:
the x angle = 45 ............. 45
5d + 4 + 2 + - 9 + 3d + 4c
Answer:
8d + 4c - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5d + 4 + 2 + -9 + 3d + 4c
Step 2: Simplify
Combine like terms (d): 8d + 4 + 2 - 9 + 4cCombine like terms: 8d + 4c - 1Answer:
8d + 4c - 3
Step-by-step explanation:
5d + 4 + 2 + - 9 + 3d + 4c
5d + 3d + 4c + 4 +2 - 9
8d + 4c - 3
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 3260 yes votes, what was the total number of votes?
Can whoever answes this please explain how. I'm completely lost.
Answer: 8184 votes
i suck at explaining things im sorry but if u have any questions, feel free to ask
Step-by-step explanation:
3260÷5=652
652(7)=4564
3260+4564=8184
please help me with the question
PLZ HURRY
10 POINTS AND BRANLIEST!!
1. Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. What is
the area of the training arena?
2. The dirt is sold in truckloads that cover 75 sq feet of ground. How many truckloads of dirt will Hilary need?
Answer:
1. 615.75
2. 9
Step-by-step explanation:
PLEASE HELP!!!!!! REAL ANSWERS ONLY!!!!!! NO LINKS!!!!!!!
Answer:
the formula to find area of a circle is A=πr²
so the radius is 10
A=π10²
A=20π
I hope it helps
What is the angle relationship between angles 2 and 6? Please help, thanks!
Answer:
Corresponding and Congruent
Step-by-step explanation:
What is the distance between the following points
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
Help please I need help
Answer:
EI SONA
Step-by-step explanation:
What is the value of b for the equation 5^6×5^b=5^12
Answer:
6
Step-by-step explanation:
[tex]x^y*x^n=x^{n+y}\\6+b=12\\b=6[/tex]
Answer:
6
Step-by-step explanation:
We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,
⇒5⁶ × 5^b = 5¹²
⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]
On comparing the bases and powers we have ,
⇒ 6 + b = 12
⇒ b = 12 - 6
⇒ b = 6
Hence the value of b is 6 .-2 + (-3) + 5 please help me with this question and also step by step
Answer:
0
Step-by-step explanation:
just calculate the simole way
Answer
Zero
Step-by-step explanation:
The negative sign in "-3" cancels out the addition sign making -2 -3 + 5.
In order of operations, you solve it left to right. So -2 -3 = -5
Then -5 + 5 = 0 or 5 - 5 = 0
The equation for the circle is: x2+y2+4x+2y−56=0 . What is the center of the circle? Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
It's x=7.1 plus 22
Answer:
Center: (−2,−1)
Step-by-step explanation:
( use math
way )