a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs produced in one hour.Then the inequalities x+3y<=18,2x+y<=16,x>=0 and y>=0 describe the constraints for manufacturing both packs.Use the profit function f(x,y)=50x+80y and the constraints given to determine the maximum profit for manufacturing both packpacks for the given constraints
Answers
The maximum, 1280, occurs at (0,16).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The inequality is,
x + 3 < 18
x < 15
And,
2x + y < 16
y < - 2x + 16
Now, you can see the constraint, x + 3 < 18 doesn't even enter into calculating the feasible region because the constraint, 2x + y < 16 really identifies the region.
Now, We can Check the value of the function at the three vertices as:
At (0,0):
f(x, y) = 50x + 80y = 0
At (8, 0);
f(x, y)=50x+80y
f (8, 0) = 400
At (0, 16);
f(x, y ) = 50x+80y
f (0, 16) = 1280
Thus, The maximum, 1280, occurs at (0,16).
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Related Questions
write an expression to represent the perimeter of the figure below. rectangle with 2x-3 and x+2
Answers
The perimeter is when you add all the sides of a shape. In a rectangle, two sides are the same, and so are the other two. So, if the two sides are 2x-3 and x+2 the expression will be:
2(2x-3) + 2(x+2)
If we were to simplify this, it would be
4x-6+2x+4
6x-2
Hope this helps!
An expression to represent the perimeter of the rectangle with 2x-3 and x+2 would be 6x-2.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
The perimeter is when you add all the sides of a shape.
In a rectangle, two sides are the same, and so are the other two. therefore, if the two sides are 2x-3 and x+2 the expression will be:
2(2x-3) + 2(x+2)
If we were to simplify this, it would be;
4x-6+2x+4
6x-2
Hence, An expression to represent the perimeter of the rectangle with 2x-3 and x+2 would be 6x-2.
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Ballio has a reading goal. He checks 3 boxes of 9 books out from the library. After finishing them, he realizes that he beat his goal by 4 books! Label the tape diagrams to find Ballio's reading goal.
Answers
N = (3 boxes)(9 books/box)
N = 27 books
Since, it is stated that he beat his goal by 4 books, his goal is equal to the calculated number minus 4.
Goal = 27 books - 4 books
Goal = 23 books
ANSWER: 23 books
d= c-s/n solve for n
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Step 2: dn = c-s
Solution is n = c-s/d :-)
how to factorize this mx-5m-5nx+25n
Answers
Classify each pair of labeled angles as complementary, supplementary, or neither.
Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.
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Answer:
The table in the attached figure
Step-by-step explanation:
we know that
If the sum of two angles is equal to [tex]90\°[/tex] then the angles are complementary
If the sum of two angles is equal to [tex]180\°[/tex] then the angles are supplementary
In this problem
[tex]61\°+29\°=90\°[/tex] ------> the angles are complementary
[tex]90\°+89\°= 179\°[/tex] -------> neither (not complementary, not supplementary)
[tex]63\°+47\°= 110\°[/tex] -------> neither (not complementary, not supplementary)
Answer:
61 and 29 are complementary and 90 and 89 and 63 and 47 are neither
Step-by-step explanation:
I took the test
Insert parentheses to make statement true 17-8-5=14
Answers
ah, got it
17-(8-5)=14
17-(3)=14
17-3=14
true
so it should be 17-(8-5)=14
Write the inequality that represents the sentence below. Twice a number is at least 15
Answers
2n ≥ 15
work:
extract the elements of the problem.
Twice a number (we will use 2n because we don't know the number)
at least 15 (≥ 15 make sure you have the line underneath the equality symbol! "at least 15" means it ca also be 15!)
put them together.
2n ≥ 15
hope this helped! :D
Sebastian wrote 24 1/5 of his novel on Saturday and 39 1/8 pages of his novel on Sunday. How many more pages did he write on Sunday? (Hint: Subtract Mixed Numbers with unlike denominations)
Answers
39 5/40 - 24 8/40
38 45/40- 24 8/40
14 37/40 more pages he wrote on Sunday
The number of more pages that he wrote on Sunday will be 14 ³⁷/₄₀ pages.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Sebastian wrote 24 ¹/₅ of his novel on Saturday and 39 ¹/₈ pages of his novel on Sunday.
Convert the mixed fraction number into a fraction number. Then we have
24 ¹/₅ = 24 + 1/5 = 121 / 5
39 ¹/₈ = 39 + 1/8 = 313 / 8
The number of more pages that he wrote on Sunday will be given as,
⇒ 313/8 - 121/5
⇒ (1,565 - 968) / 40
⇒ 597 / 40
⇒ 14 ³⁷/₄₀
The number of more pages that he wrote on Sunday will be 14 ³⁷/₄₀ pages.
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coach smith is buying equipment for his soccer team. he has 11 players and each player needs three uniform, two shin guards, one ball, and two pairs of cleats. write an algebraic expression to represent this situation.
Answers
Answer:
Total equipment required = 33 + 22 + 11 + 44
Step-by-step explanation:
Coach Smith is buying equipment for a soccer team of 11 players.
Each player need three uniforms so total uniforms required = 11×3 = 33
Each player require two shin guards so total guards required = 11×2 = 22
Each player require one ball, so total balls required = 11
Each player require two pairs of cleats then total cleats required = 11×2 = 22 pairs or 44 cleats
Now total equipment required = 33 + 22 + 11 + 44
Please help me. Question is in the picture.
Answers
2*2=4
3*3=9
4*4=16
5*5=25
6*6=36
7*7=49
8*8=64
9*9=81
10*10=100
11*11=121
12*12=144
13*13=169
14*14=196
15*15=225
Karana bought two items using a credit card. The first item cost $248, and the second item cost $370. Later, she returned both items to the store. What was the change to the amount Karana owed her credit card company from returning both items?
Answers
Shame on Karana.
Runa and Jon each start with the same number. Runa rounds to the nearest hundred.jon rounds to the nearest ten.runa's answer is double jon's answer.Explain how this can be.
Answers
Nearest ten: 50
Nearest hundred: 100
The number is 54 nearest ten is 50 and the nearest hundred is 100.
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
Let the number be 54 now the round-off is 50 nearest ten will be 100, and the number is double.
Therefore, the number is 54 nearest ten is 50 and the nearest hundred is 100.
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What is 17,210,000,000 written in scientific notation? Enter your answer in the box.
Answers
.
Answer:
Heres Proof The First Anwser Is Wrong </3
Step-by-step explanation:
List at least 5 things in your home that remind you of line segments
Answers
A part of a line with two endpoints is the simple definition of a line segment. Real world representation of line segment in homes may include ;
Straw Pencils Cotton holders Ropes Electrical wire Any piece of object which could be described as a line and having two distinct endpoint may be compared to a line segment. Straws, pencils, writing pens, ropes and so on may be compared to a line segment as they all have the properties which makes the relationship possible.Learn more : https://brainly.com/question/19203823?referrer=searchResults
An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with sum of 160. Show your work. After completing the problem, write out the steps, in words, that you used to solve the problem.??????????????Please write the steps to so I can understand Please...Thankyou
Answers
37, 39, 41, and 43. The least is 37, and the greatest is 43. :)
Question 3(Multiple Choice Worth 4 points) (02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, what is the measure of angle M'? 40 degrees 45 degrees 50 degrees 130 degrees
Answers
Answer:
The answer is 50
Hope this helps
:) Get a good grade
What is the slope of the line on the graph? Enter your answer in the box. A coordinate grid that includes the line y equals negative two x. Points are plotted at begin ordered pair 3 comma negative six end ordered pair begin ordered pair 0 comma 0 end ordered pair and begin ordered pair negative 3 comma 6 end ordered pair.
Answers
Hope this helps!
Final answer:
The slope of the line described by the equation y = -2x is -2. This indicates that the line has a negative slope, decreasing 2 units on the y-axis for every increase of 1 unit on the x-axis.
Explanation:
The slope of a line is a measure of its steepness, typically represented by the symbol 'm' in the equation of a straight line, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To calculate the slope of a line given points on a graph, we use the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two distinct points on the line. For the given line y = -2x, which is already in slope-intercept form, the slope 'm' is directly provided as -2. No calculation is needed since the equation itself indicates that the slope is -2, meaning for every increase of 1 on the x-axis, there is a decrease of 2 on the y-axis.
Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)
Answers
Step-by-step explanation:
The given objective function is [tex]C = 60x + 85y[/tex]
To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.
For (0, 160)
[tex]C=60\times 0+85\times 160=13600[/tex]
For (55, 70)
[tex]C=60\times 55+85\times 70=9250[/tex]
For (80, 50)
[tex]C=60\times 80+85\times 50=9050[/tex]
For (80, 50)
[tex]C=60\times 170+85\times 0=10200[/tex]
Hence the ordered pair which minimizes the objective function is (80, 50)
If c = 30 and d = 8, then 2c + 4d =
A) 512
B) 278
C) 136
D) 92
Answers
D) 92
Answer:
The answer to this problem is D: 92
Step-by-step explanation:
:D
Explain if 12.1 is rational or irrational
Answers
Is 0.17 larger or smaller than 0.165
Answers
I don't know if this is the right answer this just what i think the answer is
What is 1.3 , 1 1/3 , 1.34 in least to greatest order
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the answer is 1.3 1.34 1 and1.3
Can some one give me the answers to theses please!
Answers
7. Ben can type 510 words in 10 minutes.
8. The extra fabric will cost $4.98.
PLEASE HELP ASAP!!!! WILL MARK BRAINLIEST!!!!
1. Select the factors that can be divided out to simplify the multiplication problems: 8/15 * 5/16.
Select all that apply(should be 4 of them)
2
3
4
5
6
8
2. Select the factors that can be divided out to simplify the multiplication problems: 4/26 * 13/20.
Select all that apply( should be 3 of them)
2
3
4
5
8
10
13
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What does 14•y=70 equal
Answers
y = 70/14
y = 5
hope this helps
The length of a car’s skid mark in feet is given by L = 0.046s
Answers
0 = 0.046s^2 - 0.199s - 99.736
s= 48.77691127... or -44.45082431 (reject)
The car's speed was approximately 48.8 mph.
Greenboro gets 12times as many inches of snow as redville gets . Altogether ,the two towns get 65 inches of snow how many inches of snow dose redville get?
Answers
Greenboro = 12r
Total of the two towns = 65
Now we can set up our equation.
r + 12r = 65
13r = 65
13r/13 = 65/13
r = 5
Redville gets 5 inches
13x=65
X=65/13
X= 5
Jacob earns £93.20 for 8 hours work. he gets the same amount of pay for each hour. what is his rate of pay per hour?
Answers
Neurons are cells in the nervous system that process and transmit information . And average neuron is about 5 • 10^negative 6 meter in diameter . A standard table tennis ball is 0.04 meter in diameter . About how many times as great is the diameter of a ball than a neuron ?
Answers
Ratio = Diameter of ball/Diameter of neuron
Ratio = 0.04 m/5×10⁻⁶ m
Ratio = 8,000
Therefore, the tennis ball is 8,000 times larger than the neuron,
Answer:
The tennis ball is 8000 times larger than the neuron.
Step-by-step explanation:
Average neuron is about [tex]5\times10^{-6}[/tex] meter in diameter .
A standard table tennis ball is 0.04 meter in diameter .
To tell about how many times as great is the diameter of a ball than a neuron, we will divide the tennis ball diameter by the neuron diameter.
[tex]\frac{0.04}{5\times10^{-6}}[/tex]
We will move the 10^-6 in the numerator to positive 10^6
[tex]\frac{0.04\times10^{6}}{5}[/tex]
= [tex]\frac{0.04\times1000000}{5}[/tex]
= [tex]\frac{40000}{5}[/tex]
= 8000 times.
So, the tennis ball is 8000 times larger than the neuron.
To rent a van a moving company charges $30 plus $0.50 per mile the total cost is a function of the number of miles driven determine the slope and y-intercept in describes the meaning
Answers
the y-intercept is 30 because it never changes you have that constant thing to add in every equation