An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of mineral ash. each sack of soybeans costs $21 and contains 70 lb of protein, 9 lb of fat, and 7 lb of mineral ash. each sack of oats cost $7 and contains 21 lb of protein, 7lb of fat, and 1 lb of mineral ash. how many sacks of each should be used to satisfy the minimum requirements at minimum cos
Answers
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
[tex]Cost = 51.275[/tex]
Step-by-step explanation:
The given parameters can be summarized as:
[tex]\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}[/tex]
Where: x = Soybeans and y = Oats.
So, the system of equations are:
[tex]70x + 21y = 168[/tex]
[tex]9x +7y = 27[/tex]
[tex]7x + y = 14[/tex]
[tex]Cost = 21x + 7y[/tex]
The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:
[tex]70x + 21y = 168[/tex]
[tex]9x +7y = 27[/tex]
[tex]7x + y = 14[/tex]
From the attached graph, we have:
[tex](x_1,y_1) = (1.636,2.545)[/tex]
[tex](x_2,y_2) = (1.775,1.575)[/tex]
[tex](x_3,y_3) = (2.023,1.256)[/tex]
Substitute each of the values of x's and y's in the cost function to get the minimum cost:
[tex]Cost = 21x + 7y[/tex]
[tex](x_1,y_1) = (1.636,2.545)[/tex]
[tex]Cost = 21 * 1.636 + 7 * 2.545[/tex]
[tex]Cost = 52.171[/tex]
[tex](x_2,y_2) = (1.775,1.575)[/tex]
[tex]Cost = 21 * 1.775 + 7 * 1.575[/tex]
[tex]Cost = 48.3[/tex]
[tex](x_3,y_3) = (2.023,1.256)[/tex]
[tex]Cost = 21 * 2.023 + 7 * 1.256[/tex]
[tex]Cost = 51.275[/tex]
The values of x and y that gives the minimum cost is:
[tex](x_2,y_2) = (1.775,1.575)[/tex]
and the minimum cost is:
[tex]Cost = 48.3[/tex]
Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Related Questions
A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends $8,800 and buys a total of 20 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
Answers
Answer:
The company bought 9 computers and 11 printers.
Step-by-step explanation:
Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:
20 x 550 + 0 x 350 = 11,000
15 x 550 + 5 x 350 = 10,000
10 x 550 + 10 x 350 = 9,000
9 x 559 + 11 x 350 = 8,800
Thus, the company bought 9 computers and 11 printers.
Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?
Answers
Step-by-step explanation:
Given
d1 = 6 miles
d2 = 19 miles
d3 = ?
d1+d2+d3 = 50
6+19+d3 = 50
25+d3 = 50
d3 = 50 - 25
= 25miles
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 8, (5,5)
Answers
Answer:
8x + y = 45
Step-by-step explanation:
Ax + By = C
8(5) + (5) = C
40 + 5 = C
45 = C
8x + y = 45
Which expression is equivalent to (xy)z?
Answers
Answer:
[tex](xy)z = xyz[/tex]
Step-by-step explanation:
Given
[tex](xy)z[/tex]
Required
Equivalent expression
No option is given. So, I will solve generally.
To solve this question, we simply open the bracket.
So:
[tex](xy)z = xyz[/tex]
Help with this problem please
Answers
Answer:
A. 50°
Step-by-step explanation:
I am currently working on the explanation.
Dont put the file stuff like stop! Help me
Mrs. Davis has 5/4 lb of dry dog food. She will put an equal
amount of food into 3 containers. How much dog foor will
be in each container?
Answers
This seems like a division problem so you would take (5/4) and divide it by 3 to make 3 equal groups meaning 5/12lb would be in each container.
I hope this helps, good luck!
HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture
Answers
Answer:
a
Step-by-step explanation:
this is from my knowledge not from research :))) tell if its correct i can look this up too!:p
Answer:
a. Given, Give, Given, AAS
Step-by-step explanation:
AAS makes the most sense because you are only given information about 2 angles and a side, in that order
also the other answers don't work because vertical, alternate interior, and alternate exterior angles are only used as reasons when the angles are on parallel lines cut by a transversal, which is not the case here.
A guidance counselor is studying test anxiety in freshman students. A random sample of 972 high school freshmen finds that 219 of these students have had some form of test anxiety. A 95% confidence interval for the proportion of freshmen with test anxiety is (0.199, 0.252). Which statement correctly interprets the interval?
The guidance counselor can be 95% confident that 23% of freshmen will have some form of test anxiety.
There is a 95% probability that the proportion of freshmen with test anxiety lies between 0.199 and 0.252.
If this procedure is repeated many, many times, the true proportion of freshmen with test anxiety will be captured 95% of the time.
The guidance counselor can be 95% confident that the interval from 0.199 to 0.252 captures the true proportion of all freshmen who have test anxiety.
Answers
Answer:
The answer is B.
Answer:
D. The guidance counselor can be 95% confident that the interval from 0.199 to 0.252 captures the true proportion of all freshmen who have test anxiety.
Step-by-step explanation:
Right on edge
Pls help me answer this question
Answers
Answer:
Probability
Step-by-step explanation:
Triangle- 1/8
Circle- 1/2
Square- 3/8
9 tens =
Ones how many ones are in 9 10 tens ?
Answers
Answer:
90
Step-by-step explanation:
There are 10 ones in 1 ten.
So if you have 9 tens then...
10 x 9 = 90
the vaal dam can store 2536 million m3 of water when full. However it was 65 4% full on the 30 January 2020 how many litres of water was in the dam
Answers
Answer:
Current water in dam = 1,676.202 million m³ (Approx.)
Step-by-step explanation:
Given:
Storage capacity of dam = 2,536 million m³
Current water level = 65.4%
Find:
Current water in dam
Computation:
Current water in dam = Storage capacity of dam x Current water level
Current water in dam = 2,563 x 65.4%
Current water in dam = 1,676.202 million m³ (Approx.)
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is
Answers
Question Completion:
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
(ii) about 1/V2 times as accurate
(iii) about as accurate
(iv) about V2 times as accurate
(v) about twice as accurate
as a simple random sample of 1000 people in New York State.
Answer:
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
as a simple random sample of 1000 people in New York State.
Step-by-step explanation:
Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.
Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.
This is because accuracy is enhanced by a larger sample size. This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.
caculate the VAT inclusive amount for R42,42
Answers
Answer: R47.66
Step-by-step explanation:
Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.
The VAT inclusive amount is therefore:
= 42.42 * ( 1 + tax rate)
= 42.42 * ( 1 + 12.36%)
= R47.66
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
4 points
Answers
Answer:
3 points
Step-by-step explanation:
A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).
So the relation can be represented with points (x, y), which means that point x is being mapped into point y.
Such that the needed condition is that each element of the domain is mapped into only one element in the domain.
So for example, if for a relationship we have the points (a, b) and (a, c)
The point a is being mapped into two different outputs.
Now let's go to our problem, we have the points:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)
If we have repeated inputs, we need to remove points until we have one of each.
We can see that the inputs -3, 1, and 2 are repeated one time.
Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:
(-3, 2), (1, 4), and (2, -4)
This is a function.
Then we need to remove 3 points.
Answer:
C) 3 POINTS
Step-by-step explanation:
ON EDGE 2021
Help please i need it asap
Answers
Answer:
∠ZVW= 45
∠ZWV = 31
x=1
Step-by-step explanation:
Properties of a Parallelogram ( including diagonals )
Diagonals of a parallelogram bisect each other.
The diagonals are cut into two equal parts
Opposite angles are congruent
Given this information we need to find x, ∠ZVW and ∠ ZWV
First lets find x
Like stated previously diagonals cut each other into two equal parts
That being said segment WZ ≅ segment ZY
Knowing this we create an equation
2z-1=1
step 1 add 1 to each side
-1 + 1 cancels out
1 + 1 = 2
now we have 2x = 2
step 2 divide each side by 2
2x/2=x
2/2=1
we're left with x = 1
Now lets find ∠ZVW
∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )
This means that because ∠ZXY = 45 ∠ZVW also = 45
Now lets find ∠ZWV
∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)
So because ∠XYZ = 31 ∠ZWV also = 31
Branliest to correct answer no guessing please
Answers
Answer:
the vertical bar "|"
Step-by-step explanation:
Sorry if it's wrong.
HELP PLEASE I WILL GIVE BRAINLIEST
NO SENDING ME FILES
Write an equation in vertex form (based on the transformation)
Reflected over the x-axis, then translated 5 units left and 2 units down
Answers
Answer:
Section 4-1 Day 5 Translating Parabolas Key.pdf
Step-by-step explanation:
9482 ÷ 497 answer pls
Answers
Answer:
19.0784708249
Step-by-step explanation:
If the graph of the function f (X) is represented in the attached figure, which of the graphs presented in the options represents the graph of its inverse function?
Answers
Answer:
A. g(x) = 1/3x + 1Step-by-step explanation:
The line has points:
(0, -3) and (1, 0)It has y-intercept b = -3 and a slope:
m = (0 + 3)/1 = 3The equation:
f(x) = 3x - 3It inverse is (let's call it g(x)):
x = 3y - 33y = x + 3y = 1/3x + 1g(x) = 1/3x + 1The slope of the inverse function is 1/3 and the y-intercept is 1
The graph reflecting this is A
On Saturday, Malia's volleyball team will be having a family picnic. Hotdogs are sold in packages of 10 and hotdog buns are sold in packages of 8. What is the least number of hotdogs and buns that Malia's team should buy to have exactly the same number of each?
A. 10 hotdogs and 10 buns
B. 16 hotdogs and 16 buns
C. 40 hotdogs and 40 buns
D. 4 hotdogs and 4 buns
Answers
Answer:
D or the last option
Step-by-step explanation:
For A: If we multiply 10 by 10 it gives us 100 and 8 by 10 is 80 and this off by 20 and we need to find number that are the closest.
For B: 16 by 10 is 160 and 16 by 8 is 128 and this has a big difference of 32. This also a big number and I don't know why a team would need 128 hotdogs.
For C: 40 by 10 is 400 and 8 by 40 is 320 and this wayyy of by 80. And i doubt a team needs 320 hotdogs.
For D: 4 by 10 is 40 and 8 by 4 is 32 this is only off by 8 and compared to the other options is the most closest and 32 hotdogs for a team should be reasonable.
:DDD Hope I was able to help!Find the total value of digit 3 in 3654
Answers
Answer:
3000
Step-by-step explanation:
Thousands Hundreds Tens Ones
3 6 5 4
Here are the values of each number:
Number x Multiplier = Value
3 x 1,000 3,000
6 x 100 600
5 x 10 50
4 x 1 4
Add up all of the values and you get 3,654.
Answer:
3000
Step-by-step explanation:
Thousands: 3
Hundreds: 6
Tens: 5
Ones: 4
I need help SHOW YOUR WORK
Answers
Answer:
S=100x^8y²z^6 is your answer
Step-by-step explanation:
we have
S=4πr²
when
r=5x⁴yz³
new S
will be
S=4π(5x⁴yz³)²=4×5²×x^(4×2)×y²×z^(3×2)
=100x^8y²z^6
please help i will give brainlist don't answer if you don't know it
Answers
Answer:
1:
Step-by-step explanation:
Solve each equation 11 - 6x = 7 - 8x
Answers
4=14x
x=3.5
a rectangular playing field is 80 yd long and has an area of 4240 yd squared. find the width of the field?
Answers
Answer:53
Step-by-step explanation:
4240/80 = 53
53*80 = 4240
Answer:
53 yd
Step-by-step explanation:
Because you find the area of a field by multiplying the length by the width, this can be written as 4240=80x, where x equals the width of the field. Now all you have to do is divide 4240 by 80 to get what x, or the width, is.
I need help on this!
Answers
Answer:
29.71 is your answer! please mark brainlist if this helps i worked hard trying to explain this the best i could
HAVE A WONDERFUL DAY!!! please take care of yourself you deserve it :D
Step-by-step explanation:
HOPEFULLY THIS HELPS HERE: please read this so you can understand the problem too!!
so basically, first you are gonna find the triangle's perimeter. (reminder perimeter is add all sides) so 6+8= 14. then you are going to find the circumfrence of that circle using the formula 2πr and then divide by two since its HALF a circle. the radius is 5 (radius is half the diameter which would be 10) then put in your calculator 2π(5) and you should get 31.42. dont forget to divide by two since its half a circle. 31.42/2 =15.71. then add up your other lengths to that 14+15.71= 29.71(YOUR ANSWER :D)
-4.5,7.25,-10,12.75 18th term arithmetic sequence
Answers
Answer:
The first term of an arithmetic sequence is equal to $\frac{5}{2}$ and the common difference is equal to 2. Find the value of the 20 th term. example 2: An arithmetic sequence has a common difference equal to $7$ and its 8 th term is equal to $43$.
Step-by-step explanation:
I NEED URGENT HELP!! THANK U!
Answers
Answer:
1.) [tex]\frac{1}{2}[/tex]
2.)[tex]\frac{3}{4}[/tex]
3.)[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
I did this, in like, 2 weeks ago.
Check attachment for answer.
The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?
Answers
9514 1404 393
Answer:
12
Step-by-step explanation:
Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...
x + y + 2x = 27 ⇒ y = 27 -3x
The requirement that the middle number is y gives rise to the inequality ...
x < y < 2x
Substituting for y, we have ...
x < 27 -3x < 2x
Adding 3x gives us ...
4x < 27 < 5x
These two inequalities give us the requirement that ...
27/5 < x < 27/4
5.4 < x < 6.75
The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.
The greatest number is 12.
use the pattern. Drag the values into the equation. Values may be used more than once.
Answers
9514 1404 393
Answer:
Left-to-right:
n1n-12n-22nStep-by-step explanation:
In this pattern, the exponents of 'a' and 'b' total n. The 'b' exponent value is the right-subscript of C. The exponents range from 0 to n. Generally, the 'a' exponents count down from n; the 'b' exponents count up from 0.
_____
Additional comment
You will see this pattern again. You might want to keep it handy.