The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than 60 lb dry weight." The packaged manure is a combination of compost and sewage wastes. To provide good-quality fertilizer, each bag should contain at least 30 lb of compost but no more than 40 lb of sewage. Each pound of compost costs Sweet Smell 5¢ and each pound of sewage costs 4¢. Use the Linear Programming method to determine the least-cost blend of compost and sewage in each bag.
Answers
Answer and Step-by-step explanation:
Let
Compost lb per bag = x1 = 30
Compost cost per lb = 0.05
Sewage lb per bag = x2 = 40
Sewage cost per lb = 0.04
Minimize cost = 0.5 x1 + 0.4 x2
Constraints:
Bags of manure labeled “not less than 60 lb dry weight”
X1 + x2 ≥ 60
X1 ≥ 30
X2 ≥ 40
At x1 = 30 and x2 = 40
C = 0.05(30) + .04(40)
= 1.5+ 1.6
=$3.1
At x1= 60 and x2 = 0
C= 0.05(60) + 0.04(0)
= 3 + 0
=$3.00
At x1 = 30 and x2= 30
C = 0.05(30) + 0.04(30)
= 1.5 + 1.2
=$2.7
Related Questions
Find the value of x - The answer is 45, but I need to show my work!!!
THANK YOU
Answers
Answer:
x = 45°
Step-by-step explanation:
The total measurement is 360° (the measurement of a circle).
Set the equation. Set all measurements equal to 360:
228 + (x + 29) + (x + 13) = 360
Combine like terms:
228 + 29 + 13 + 2x = 360
2x + 270 = 360
Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:
2x + 270 (-270) = 360 (-270)
2x = 360 - 270
2x = 90
Next, divide 2 from both sides of the equation:
(2x)/2 = (90)/2
x = 90/2
x = 45
x = 45° is your answer.
~
Evaluating expressions practice 3-8
Answers
Answer:
Please upload an image of your Brainly question
NEED ANSWER ASAP The figure shows two intersecting lines and measures of the resulting angles.
yo
(3x - 8)°
(2x +12)°
What is the value of x?
A. X = 17.2, because 3x - 8 + 2x + 12 = 90
OB. X = 35.2, because 3x - 8 + 2x + 12 = 180
C. X = 20, because 3x - 8 = 2x + 12
D. Not enough information to solve. please put a reasonable explanation
Answers
Answer:
B my friend
Step-by-step explanation:
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses. What is the slope of the graph?
Be sure to answer all questions and show all your work for full credit.
Answers
Answer:32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
PLEASE HELP MATH!!!!
Answers
Which of the following is used to represent complex numbers?
A.
x2 + y
B
C.
bi + 2
D.
a + bi
Answers
Answer: D) a+bi
Where both a and b are real numbers.
In your textbook, you might see [tex]a,b \in \mathbb{R}[/tex] to indicate that they are real numbers.
An example would be 7+13i, where a = 7 and b = 13.
Form a polynomial whose real zeros and degree are given.
Zeros: – 4, 0, 6;
degree: 3
Answers
Answer:
?
Step-by-step explanation:
come
Question 14
8.0 x105 +6.0 x107 =
A
14,000,000,000,000
B
140,000,000
с
60,800,000
D
68,000,000
Answers
Answer:
с 60,800,000
Step-by-step explanation:
Any scientific or graphing calculator can evaluate this expression for you.
__
When adding numbers in scientific notation, they need to have the same multiplier exponent. Here, it is convenient to use 10^6:
8.0×10^5 = 0.8×10^6
6.0×10^7 = 60×10^6
Then the sum is ...
(0.8 +60)×10^6 = 60.8×10^6 = 60,800,000
24 students in a class took an alegrba test if 18 students passed the test what percent passed
Answers
Answer:
75 percent
Step-by-step explanation:
18 times 24 times 100 percent is 75
Ken is making gift bags for a party. He has 64 colored pens and wants to put the same number in each bag. How many bags will Ken make if he puts 4 pens in each bag? Explain what you did to find the answer:
Answers
Answer:
16
Step-by-step explanation:
If Ken has 64 pens and is putting them into bags then 64 divided by 4 will give you the amount of times that 4 can be separated by, which is your bags
Haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaq
Answers
Answer: 20
Step-by-step explanation:
because if he earned 12 dollars and it equals 32 dollars he would have 20
Ken had $40 then spent $20 on a game he now has $20 left then he earns $12 mowing lawn and now has $32.
Ken had $40 before he bought the game
What has kept you from saving in the past?
Answers
A Potential Answer:
One thing that has kept me from saving in the past is my confusion of my "wants" and "needs". An outcome of this is me constantly spending money on things that aren't necessary instead of buying things that are useful. An example of this is when I went to the store and decided to buy expensive band merchandise, as well as my groceries. If I hadn't bought the band merchandise, I could have saved $30. To fix this, I started to work on my self-control and budget management.
I hope this helped!
Good luck <3
A strip of tape will be placed around the court.
Which measure would be used in finding the amount of tape needed?
Is it a perimeter or an area
Answers
Answer:the answer is perimeter
Step-by-step explanation:
Expand and simplify the following expression. 3(p-2q)-4(2p-3q-5) *
Answers
Answer:
[tex] - 5p + 6q + 20[/tex]
Study the diagram.
Calculate the value of x in the polygon.
Enter your answer in the box. Enter only your answer.
degrees
Answers
A) Solve the Gompertz equation
dy dt = ryln(K/y)
subject to the initial condition y(0) = y0.
B) For the given data r = 0.73 per year, K = 80,300 kg, and y0 K = 0.25. Use the Gompertz model to find the predicted value of y(4).
C) For the same data as in part (b), use the Gompertz model to find the time τ at which y(τ) = 0.77K.
Answers
Answer:
a) [tex]y = Ke^{ln(\frac{y_0}{K})e^{-rt} }[/tex]
b) [tex]y(4) = 1,082.043 kg[/tex]
c) [tex]t = 2.286 years[/tex]
Step-by-step explanation:
Find the step by step solution to the question in the attachment.
Joey made this
graph to show how many incorrect
answers students got on a test. how
many students got 3 answers incorrect?
how do you know?
number of students
Answers
Answer:
you need to attach the graph for us to answer, just count
Step-by-step explanation:
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 per cup. Company D does not have a flat fee but charges $30 per cup.
What is the minimum number of cups that must be ordered for company C to be a better deal than company D?
Enter your answer in the box.
cups
Answers
Answer:
minimum 11 cups
Step-by-step explanation:
155 + 15c = 30c
155 = 15c
10.333 = c
A market researcher, having collected data on breakfast cereal expenditures by families with one, two, three, four, or five children living at home, plans to use an ordinary regression model to estimate the mean expenditures at each of these five family size levels. However, the researcher is undecided between fitting a linear or a quadratic regression model, and the data do not give clear evidence in favor of one model or the other. A colleague suggests: "For your purposes, you might simply use an ANOVA model." Is this a useful suggestion? Explain.
Answers
Answer:
Yes it is a useful suggestion
Step-by-step explanation:
Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.
We would be comparing the mean expenditure of food of these 5 different family size levels so anova is useful.
Answer and Step-by-step explanation:
ANOVA model is mathematical model describe relationship between response and treatment.
One way ANOVA is given by:
YIJ = µ + Ti +Єij
Where, yij represent jth observation on ith treatment.
In this question, researcher collected data on the breakfast expenditure of a family whose size is five.
Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.
Since, the family size is five; we have to compare their mean expenditure on food.
The ANOVA one way model is:
YIJ = µ + Ti +Єij
For i=1, 2,3,4,5 and j= 1, 2,3,4,5
With hypothesis,
H01 : µ1 are equal.
H11 : at least two i not equal to j.
What’s the slope of 2,1 and -4,4
Answers
Answer:
Equation: y = -0.5x + 2.
Step-by-step explanation:
. A 0.660 kg ball is dropped from rest from the top of a building and falls for
5.65 seconds. How tall was the building? [Neglect friction. Assume on or near
the Earth's surface.]
Answers
Answer:
The height of the building is 156.42 m
Step-by-step explanation:
Given;
mass of the ball, m = 0.66 kg
time of fall, t = 5.65 s
initial velocity of the ball, u = 0
Apply the following kinematic equation to determine the height of the building;
h = ut + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂ x 9.8 x 5.65²
h = 156.42 m
Therefore, the height of the building is 156.42 m
The building was 156.42 metres tall
From the question we are told that
the mass of the ball, m = 0.66 kg
the time of fall, t = 5.65 s
the initial velocity of the ball, u = 0
If we use one of the equations of motions in
h = ut + ¹/₂gt², we then have
h = (0 * t) + (0.5 * 9.8 * 5.65²)
h = 4.9 * 31.923
h = 156.42 m
The height of the building is 156.42 m
see more about equation of motion here https://brainly.com/question/16878713
3. All rational numbers are integers.
Answers
Answer:
false
Step-by-step explanation:
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals.
Step-by-step explanation:
All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
PLEASE ANSWER IMMEDIATELY!!!!
Answers
Answer:
x = 23
DBC = 23
ABC = 157
Step-by-step explanation:
angles ABC and CBD are supplementary.
supplementary angles add up to 180.
you can make the following equation
6x + 19 + x = 180
7x + 19 = 180
7x = 180 - 19
7x = 161
x = 161/7
x = 23
substitute x into the equations
DBC = x
DBC = 23
ABC = 6x + 19
ABC = 6 * 32 + 19
ABC = 138 + 19
ABC = 157
Pls halp meh. reeeeeeeeee
Answers
Answer:
x = 8, and y = 21
Step-by-step explanation:
You probably don't need this since this question was yesterday, but if you still need help:
I'm not the best at explaining but, Angles EOF and FOG are complementary, making 3y equal to 63. 63 divided by 3 is 21 making y = to 21. Angles AOE and GOB are also complementary adding them in the equation makes 9x + 18.
90 degrees minus 18 is 72, 72 divided by 9 is 8. Making 8 equal to x. 9x +18 ((9)8 + 18) is equal to 90 degrees.
Try to make something better again I'm not good at explaining.
5 b * 20 b +4 if b is 6
Answers
Answer:
3604
Step-by-step explanation:
Step 1: Define
5b · 20b + 4
b = 6
Step 2: Simplify
100b² + 4
b = 6
Step 3: Substitute and Evaluate
100(6)² + 4
100(36) + 4
3600 + 4
3604
Answer:
3604
Step-by-step explanation:
Plug the value of b in: 5(6) × 20(6) + 4Simplify: 30 × 120 + 430 × 120 = 3600Plug 3600 in: 3600 + 43600 + 4 = 3604I hope this helps!
2 x 10 to the 3rd power standard form
Answers
2x10^3
Show how to solve the following; answer must be with fractions and pi
theta=tan^-1(-6/6)
I can get the decimal form from calculator, but I require the fractional answer and I need to know how it even gets obtained. How do we know what inverse tan of -6/6 will = to?
Answers
Answer:
3pi/4 and -pi/4
Step-by-step explanation:
We can simplify -6/6 to -1.
Therefore, this function can be simplified to arctan(-1).
Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.
Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.
If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.
If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.
Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.
-6(а + 8)
Distributive Property
Answers
Answer:
-6a-48
Step-by-step explanation:
-6(a+8)
=(-6)(a + 8)
=(-6)(a) + (-6)(8)
=-6a-48
jake had 51 hens in his poultry farm. All but 11 died. how many hens does he have now?
Answers
Answer:
Jake has 11 hens
Step-by-step explanation:
It says in the question, all but 11 hens died. This means the rest died, but 11 are still alive.
Answer:
He has 11 hens.
Step-by-step explanation:
which number is rational and a real number but not an integer
Answers
5 or 1/2 since it's numerator and denominator are integers