Answer:
36 senatorsStep-by-step explanation:
Let the number of representatives be r and senators be s
The we have system of equations:
r + s = 187r = 4s + 7Substitute r in the first equation:
4s + 7 + s = 187 - required equationSolving for s:
5s = 180s = 180/5s = 36A manufacturer produces three models of bicycles. The times (in hours) required for assembling, painting, and packaging each model are shown in the table below: Model A Model B Model Assembling 2 2.5 3 Painting 1.5 2 1Packaging 1 0.75 1.25 The total time available for assembling is 4006 hours, for painting is 2495 hours, and for packaging is 1500 hours. The profits per unit are $45 for Model A. $50 for Model B and $55 for Model C. What is the optimal production level for each model, and what is the optimal profit? A) Set up the objective function. B) Set up the constraints in inequality form.C) Rewrite your answer to (b) as equations with slack variables.D) Write the initial tableau for solution via the simplex method.
Answer:
we have to maximize the following equation:
45A + 50B + 55C
where:
A = number of model A bicycles produced
B = number of model B bicycles produced
C = number of model C bicycles produced
the constraints are:
2A + 2.5B + 3C ≤ 4006 (assembly constraint)
A + 0.5B + 2C ≤ 2495 (painting constraint)
A + 0.75B + 1.25C ≤ 1500 (packaging constraint)
A,B,C ≥ 0
using solver, the optimal solution is: 745A + 1006B = $83,825
using slack variables:
2A + 2.5B + 3C + S1 = 4006 (assembly constraint)
A + 0.5B + 2C + S2 = 2495 (painting constraint)
A + 0.75B + 1.25C + S3 = 1500 (packaging constraint)
A,B,C,S ≥ 0
slack variable tableau:
A B C S1 S2 S3 Z B
2 2.5 3 1 0 0 0 4006
1 0.5 2 0 1 0 0 2495
1 0.75 1.25 0 0 1 0 1500
-45 -50 -55 0 0 0 1 0
Help me out really fast please
Answer:
it would be D.
Answer: Use the same counter weight.
Step-by-step explanation: It should be the controlled variable whereas the ball would be the independent, and the distance the dependent.
Parallel lines cut by a transversal
Answer:
Poop
Step-by-step explanation:
Cause
Vicki is 5 years older than twice Ella's age, a.
The sum of Vicki's and Ella's age is 29.
Which equation represents this relationship?
Answer:
5+3a=29
Step-by-step explanation:
let Ella's age be 'a'
Vicki's age=5+2a
sum of their ages= 29
So, the equation is
(5+2a)+a=29
5+3a=29
hope this helps!
Answer:
(5+2a) + 2a=29
Step-by-step explanation:
Each side of a rectangle must be perpendicular to two of its other sides. Is it possible for a rectangle to be formed by the intersections of the lines y=4x−7, y=−14x+2, y=−4x+2, and y=−14x−2? Justify your answer.
A. Yes, one of the lines is perpendicular to two other lines, so a rectangle can be formed
B. Yes, each line is perpendicular to two other lines, so a rectangle can be formed
C. No, one of the lines is not perpendicular to any of the lines, so a rectangle cannot be formed.
D. No, each of the lines is perpendicular to only one other line, so a rectangle cannot be formed.
Please help fast!
(15 points)
Answer:
its C not A
Step-by-step explanation:
if I have 315 bags of cat food and 9 shelfs what is the long division answer to putting them on equal shelf
Answer:
45 is the answer! Check the photo to see the long division problem!
Step-by-step explanation:
hi i have a question can younplease help me
Answer:15
Step-by-step explanation:
What percent is represented by the shader portion of things 10 x 10 grid? Please help
Answer:
40% out of 100 squares are shaded.
Step-by-step explanation:
Find the Vertices of PQR, shown below, for a dilation with center (0,0) and scale
factor 2. Provide the rule and all three prime points. Is this a reduction or an
enlargement?
Answer:
reduction
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ashton had $60 to take shopping with her address for $16 and 50 Cent a pair of shoes for $12.25 and three headbands for $2.25 each she pay the 6% Sales tax on all of the items you bought how much money did Ashton have left? Please ASAP
Answer:
Ashton had $22.90 left.
Step-by-step explanation:
Since Ashton spent $ 16 on the first product, $ 12.25 on the pair of shoes, and $ 2.25 on each of the 3 headbands, the total cost of the products purchased is $ 35 (2.25 x 3 + 16 + 12.25).
Now, to this amount a sales tax of 6% must be added, that is, the final amount paid by Ashton is $ 37.10 (35 x 1.06).
Therefore, since Ashton's starting amount was $ 60, the amount left over after the purchase is $ 22.90 (60 - 37.1).
what is the total area of the (outside) square shown at the right?
Answer: 8
Step-by-step explanation: ADD ALL THE SIDES TOGETHER
Easton practices the piano the same number of minutes each day. The relationship between the number of days, x, and the total number of minutes he practices, y, is represented by the graph below. A point (8, 200) is labeled below. Which statement about the graph is true?
The true statement about the graph is that it shows a proportional relationship
How to determine the true statement about the graphFrom the question, we have the following parameters that can be used in our computation:
The graph (added as an attachment)
On the graph, we have the following observations and highlights
The graph is represented by a straight lineThe line of the graph passes through the originThe line of the passes through the point (8, 200)Using the above as a guide, we have the following:
A graph that has the above features is not just a linear equation, it is a proportional linear equation
This means that it has a unit rate
And the unit rate is
Unit rate = 200/8
Unit rate = 25
Hence, the graph shows a proportional relationship
Read more about proportional relationship at
https://brainly.com/question/14425347
#SPJ1
in a farm there are 7pigs and chickens in all if there are 20 animals legs in all how many chickens are there??? help
Step-by-step explanation:
3pigs and 4 chickens
3pigs = 12 legs
4 chickens = 8 legs
7 animal. 20legs
Help!!!! how many will 12 shirts cost!?
Answer:
240
Step-by-step explanation:
60/3=20
1 shirt costs $20 sooo...
20x12=240
$240
can i get branilest for first answer
A watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?
Answer:
A water melon, which would be 16 lbs.
Step-by-step explanation:
I converted the kilos in lbs.
NEED ANSWERS ASAP PLEASE
Answer:
the first one is 4 and 5
Step-by-step explanation:
the second one is 45 because 15+15+15 is 45, you get 15 by the square root of 225
Answer:
1)4)5
2)45
Step-by-step explanation:
1) ✓22 = 4.69041575 which is between 4 and 5
2) The area is 225ft2 area= length * length (the only one that fits here with 225 is 15) 15*15 is 225. Now that we know the sides for perimeter:
_15__
15 |. |. 15
-------
15
The question though, asks for the perimeter which is around. So you add 15 three times for the three sides and get 45ft
How do you work this out
Pls help.. quick.....
Select the correct answer. Simplify the following expression. (6x2 - 9x - 4) - (2x2 - 3x - 9)
Answer:
4×2-6x+5
Step-by-step explanation:
(6x2 - 9x - 4) - (2x2 - 3x - 9)
We can deduct (2×2) from (6×2) first: (4×2)
Then we deduct (-3x) from (-9x): (-6x)
Then we deduct (-9) from (-4): 5
Then we add everything together: (4×2-6x+5)
find the missing lengths and leave answers as radicals in simplest form?
Answer:
x=6
y=3
Step-by-step explanation:
y(side)= x
x(side)=2x
3rd side (3[tex]\sqrt{3}[/tex]) = x[tex]\sqrt{3}[/tex]
x=3;
x= 2(3)=6
y=(3)=3
Answer:
x = 6 ; y = 3
Step-by-step explanation:
x = 2y
4y² = y² + 27
3y² = 27
y² = 9
y = 3 and x = 6
3/5x + 7 = 12
What is the value of x?
the answer is x is equal to 0.6
Jack bought 4 pounds of grapes for $10.00.
Find the unit price.
Answer: $
per pound
pls answer i’ll mark you as a brainlist or whatever it’s called
Answer:
2.5$ per pound
Step-by-step explanation: 10 divided by four is 2.5
4 x 2.5 equals 10
5. What is the slope of the line through the points (-2, -1) and (4, 3)?
culo
Class Notebo...
Answer:
m= 2/3
Answer Explanation:
If that's not how you write it, then try y=2/3x
i need help
what is 2/5 + 3/7 + 5/6?
Answer:
1.6
Step-by-step explanation:
just a short version of what the person above said :)
god bless you hun.
1+1 (giving away for fun). :)
WIILL GIVE BRAINLEST PLZZZ ANSWER find the opposite 0,3,-4,11,-12
These two area models represent 2/3 and 6/9 . Choose the equation that shows why 2/3 and 6/9 are equivalent.
A) 2*3/3*3 =6/9
B)2+3/3+3= 5/9
C)2*2/3*3=4/9
D) (2/2) / (3/3) = 1/1
Answer:
A
Step-by-step explanation:
2*3/3*3=6/9 will work
Have a great day
An ice cream shop sold 48 vanilla milkshakes in a day, which was 40% of the total number of milkshake sold that day what was the total number of milkshakes that the cream shop that day?
Answer:
They sold 120 milkshakes that day
Step-by-step explanation:
We can set up a proportion
48/m=2/5
48*5=2m
2m=240
m=120
Note: If you have some value, , and it is of the total amount, you can find the value by doing the equation
WILL MARK AS BRAINLIEST!!!!!
Answer:
y=8x
Step-by-step explanation:
5. What is the slope of the line through the points (-2, -1) and (4, 3)?
culo
Class Notebo...
