Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
Answers
9514 1404 393
Answer:
100 runs from Macon
Step-by-step explanation:
A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).
Checking costs of these solutions, we find the lowest cost to be obtained when ...
100 production runs should be ordered from Macon
Related Questions
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answers
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
A group of workers can plant 64 acres in 8 days. What is their rate in acres per day?
Answers
Answer: 8
Step-by-step explanation:
64 divided by 8 = 8
Answer:answer is 8 hope this helps :>
Step-by-step explanation:
g Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 76 and 124? (b) What percentage of people has an IQ score less than 64 or greater than 136? (c) What percentage of people has an IQ score greater than 136?
Answers
Answer:
a) 95% of people has an IQ score between 76 and 124.
b) 0.3% of people has an IQ score less than 64 or greater than 136.
c) 0.15% of people has an IQ score greater than 136
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 100
Standard deviation = 12
(a) What percentage of people has an IQ score between 76 and 124?
76 = 100 - 2*12
124 = 100 + 2*12
So within 2 standard deviations of the mean, and the percentage is 95%.
(b) What percentage of people has an IQ score less than 64 or greater than 136?
64 = 100 - 3*12
136 = 100 + 3*12
99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136.
(c) What percentage of people has an IQ score greater than 136?
0.3% of people has an IQ score less than 64 or greater than 136.
Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.
I PUT THE PICTURE ALONG WITH THIs. SOMEONE PLEASE PLZ PLZ PLZ PLZ HELP ASAP.
Answers
Answer:
get math it will help you
Step-by-step explanation:
What is 3(x+4) I need the answer ASAP!!!
Answers
Answer:
3x+12
Step-by-step explanation:
3(x+4)
Use the distributive property to multiply 3 by x+4.
3x+12
Hurry I need the answer and how u got it and if correct ill give you brainiest
1..The number of early voters for the 2020 election was 129.2% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
2.. At a conference, there is a food table setup with 491 sandwiches. Of all the sandwiches, only 51 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent. 4
3..Washington State University graduated a total of 17,190 students. Of all the students, only 1.7% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
4.Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,006 trees per 0.9 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
5..There are 870 people attending a conference and 8.9% of them are from Canada. How many people are from Canada?
Group of answer choices
98
774
8
77
6
6.A local business sold the 103 items listed below. What is the average price of an item sold considering quantity?
24 notepads at $3.50 each
61 folders at $0.25 each
18 calculators at $9.00 each
Group of answer choices
$2.54
$0.89
$4.33
$0.33
Answers
Answer:
75,323,600
10.4%
292
4471
77
$2.54
Step-by-step explanation:
1. Voters in 2020 =
1.292 x 58,300,000 = 75,323,600
2.( number of turkey sandwich / total number of sandwich ) x 100
(51/491) x 100 = 10.4%
3. percent of chemistry majors = (number of chemistry majors / total students that graduated) x 100
0.017 = number of chemistry majors / 17,190
Multiply both sides of the equation by 17,190
17,190 x 0.017 = 292
4. number of trees in 4 square miles = (4 x 1006) / 0.9 = 4471
5. Percent from Canada = percentage of people from Canada x total number of people attending the conference
0.089 x 870 = 77
6. Average price = total cost of items / total quantity sold
[(24 x 3.50) + (61 x0.25) + (18 x 9)] / 103 = 2.54
Which inequality represents the sentence below?
Two more than a number is less than 14.
0 2+ns 14
O 2+n< 14
O 2+ n2 14
O >
2+n> 14
Answers
Answer:
it is b
Step-by-step explanation:
It is greatest to least fractions
Answers
Answer:
D
Step-by-step explanation:
The best way to work with fractions is to turn them into decimals by dividing the numerator by the denominator.
Answer:
b
Step-by-step explanation:
smaller the number bigger the size
The equation can be stated in three forms:
In the first set of problems below, you will be given the mass of an object and the acceleration of that object, and then will need to solve for force, using the equation F = ma.
In other words, you will need to multiply the mass times the acceleration to calculate the force.
Be sure to convert any mass stated in grams into kilograms, by dividing it by 1000 (moving the decimal place over three places to the left). For example, 1000 grams is equal to 1 kilogram.
Be sure to state the proper units in your answer.
1. An object with a mass of 2.0 kg accelerates 2.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
2. An object with a mass of 5.0 kg accelerates 8.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
3. An object with a mass of 1500 g (grams) accelerates 10.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________ force force f = m•a m = f/a a = f/m
4. An object with a mass of 6.0 kg accelerates 4.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
5. An object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
In this next set of problems below, you will be given the force applied to an object and the acceleration of that object, and then will need to solve for mass, using the equation m = F/a. In other words, you will need to divide the force by the acceleration to calculate the mass. Show your work in the space provided. Be sure to state the proper units in your answer.
6. An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
7. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
8. An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object? ___________________________
9. An object accelerates 2.0 m/s2 when a force of 12.0 newtons is applied to it. What is the mass of the object? ___________________________
Answers
Answer:
Hey this is your sign to have a great day!
Step-by-step explanation:
Good Luck!!!!!!!!!11
Last two choices are 27 and 6 please help
Answers
Answer:
I think B?
Step-by-step explanation:
Find the distance d (P1, P2) between the points P, and P2.
P1 = (-2,5); P2 = (4,0)
(P4, P2) - (Type an exact answer, using radicals as needed.)
Answers
Answer:
[tex]\sqrt{61}[/tex] units
Step-by-step explanation:
We are given that
[tex]P_1=(-2,5)[/tex]
[tex]P_2=(4,0)[/tex]
We have to find the distance d (P1, P2) between the points P, and P2
We know that
Distance between two points (x1,y1) and (x2,y2) i
=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{6^2+25}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{61}[/tex] units
please help with question
Answers
the three cards below form a number pattern. The first two cards have been turned over to show their numbers
2 4 ?
What number could be on 3rd card and what rule have you used to find this number
Answers
Answer:
Most likely answers are either 6 or 8.
Step-by-step explanation:
The sequence could be of all even numbers, so 2, 4, 6, 8, etc.
Or of all powers of 2, starting at 2, so 2, 4, 8, 16, etc.
Since there are an infinite number of sequences that fit the pattern, you just have to choose the most likely.
Answer:
hey mate here is ur answer:---------------------------------------------------Most likely answer either 6or 8The sequence could be all even number so, 2,4,6,8 etc.... or of all powers of 2,starting at 2,so,2,4,8,16etc.......since there are an infinity numbers of sequences that still the pattern, you just have to choose most likely.I hope this helps u have a nice day ❤✌☘Which inequality is true?
A.
|-5| > |-7|
B.
|-8| < |-5|
C.
|9| < |7|
D.
|-9| > |8|
Answers
Answer:
Okawa's favorite food is milk bread! His personal Motto is.....
The answer is D. |-9| > |8|
Answer:
D. |-9| > |8|Step-by-step explanation:
Consider that the absolute value is always positive. Then it is easy to compare.
A.
|-5| > |-7|5 > 7 - incorrectB.
|-8| < |-5|8 < 5 - incorrectC.
|9| < |7|9 < 7 - incorrectD.
|-9| > |8|9 > 8 - correctOne last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answers
Hope this helps
Have a great day/night
Feel free to ask any questions
When it comes to reimbursement packages, company A offers $205 plus
$0.55 per mile. Company B offers $220 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
A. 325
B. 150
O C. 250
O D. 225
Answers
So 15$ is the difference you need to make up .
.45times n +15 =.55times n
So I just times each answer to see
.45 times 325 is 146.25 miles plus 220= 366.25
.55times 325 is 178.75 miles plus 205= 383.75
.45 times 250 is 112.5 miles plus 220= 332.5
.55times 250 is 137.5 miles plus 205= 342.5
.45 times 225 is 101.25 miles plus 220= 321.25
.55times 225 is 123.75 miles plus 205= 328.75
.45 times 150 is 67.5 miles plus 220= 287.5
.55times 150 is 82.5 miles plus 205= 287.5
So it’s b 150 the last one I thought it could be....
Good luck brainliest would be appreciated
Answer:
150
Step-by-step explanation:
2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.
Answers
Answer:
The answer is below.
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.
In square ABCD:
AB = BC = CD = AC
Given that P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.
a) In triangle ABP:
BC = AB (all sides of a triangle are equal)
BP = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + BP² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = a² / 1.25
AB² = 0.8a²
AB = √(0.8a²)
AB = a√0.8
b) In triangle ADQ:
AD = CD (all sides of a triangle are equal)
DQ = 1/2 (CD) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = b² / 1.25
AD² = 0.8b²
AD = √(0.8b²)
AD = b√0.8
c) In triangle ABD, Using Pythagoras theorem:
AB² + AD² = BD²
Substituting:
0.8a² + 0.8b² = BD²
But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²
BD = √(0.8a² + 0.8b²)
BD = √(1.6a²) 0.8a² = 0.8b²
BD = a√1.6
D) AC = AD (diagonal are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) 0.8a² = 0.8b²
AC = b√1.6
hey what is better butter or cheese?
i really need to know its argent!!!
Answers
Answer:
CHEEEESEEE
Step-by-step explanation:
CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA
A finite arithmetic sequence has 12 termsThe last term is 100 and the common difference is 3. What is the first term?
Answers
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
i need help with this qestion
Find the difference 0.2−0.05. Show your reasoning.
Answers
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
Hope this help :)
A man owns stock valued at $2200. One day the stock drops by 6%, and then gains the same
percentage back the next day. How much money is the stock valued at the end of the second day?
Answers
Answer: 2192.08
Step-by-step explanation:
6/100=0.06
1 - 0.06= 0.94
1 + 0.06= 1.06
2200*094*1.06= 2192.08
The value of the stock at the end of the second day is $2192.08.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Value of stock = $2200
At the end of the first day →
6% decrement
6$ of 2200 ⇒ 2200 × 6/100 = 132
So,
2200 - 132 = $2068
At the end of the second day →
6% increment
6$ of 2068⇒ 2068× 6/100 = 124.08
So,
2068 + 124.08= $$2192.08
Hence "The value of the stock at the end of the second day is $2192.08".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
please help and explain , HURRY PLEASE !
Answers
12-x
6
x+3
4
Solve for x
Answers
Step-by-step explanation:
x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)
In a triangle ABC, one measure 68, another measure 19, what is the measure of the third angle? Thank you !
Answers
Answer:
third angle = 93 degrees
Step-by-step explanation:
all triangles have 180 degrees
180 - 68 - 19 = third angle
third angle = 93 degrees
Answer:
93 degrees
Step-by-step explanation:
180 - (68 + 19) = 93
Hope that helps!
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.
Answers
Answer:
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
B.)
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Step-by-step explanation:
Sample space :
Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
Event that the total number of head is even:
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
What is the discriminate of y=x^2-8x+2
Answers
Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
Line passes through point (1, 7) and point (-2, 4). What is the slope of this line?
Answers
The slope of the line is 1.
The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.
Answer:
1
Step-by-step explanation:
What is the derivative of sin(2x+5)?
Answers
Step-by-step explanation:
[tex] \sin(2x + 5) [/tex]
Let y = sin(z) . Where z = 2x +5
[tex]y = \sin(z) \\ z = 2x + 5[/tex]
Find the the derivatives
[tex] \frac{dy}{dx} = \cos(z) [/tex]
[tex] \frac{dz}{dx} = 2[/tex]
Multiply
[tex] \frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z) [/tex]
Remember that z = 2x+5
[tex]2 \cos(2x + 5) [/tex]
What is the answer to the following?
Answers
Answer:
63
Step-by-step explanation:
Answer:
63 degrees
Step-by-step explanation:
A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?
Answers
Answer:
5935 base balls
Step-by-step explanation:
Volume of a cylinder : pi * r² * h
r = Radius, h = height = 6ft
Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft
V = π * 2^2 * 6
V = 75.398223 ft³
Diameter of baseball = 2.8 inches
2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³
Hence,
75.398223 ft³ / 0.0127037ft³
= 5935.1370
= 5935 base balls