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
Write a different mathematical PLEASE HELP ASAP ITS DUE TODAY PLEASE❤️❤️expression and solve each equation.
Equation
Mathematical Expression
Answer
12 x 7
-13
20
(5) (-10.5)
(-7.5) (-3.2)
Answer:
Step-by-step explanation:
12 x 7 = 84
-13 . 20 = -260
(5) (-10.5)= -52.5
(-7.5) x (-3.2) = -24
Btw some is wrong but I’ll need to let you figure out which ones I’m not gonna do your homework for you without you doing something.
Match each equation with the graph above:
Answer:
c. y=ln(2-x)
d. y=log(0.25-x)
b. y=0.7log(x)
a. y=1.2ln(x)
Step-by-step explanation:
The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At what rate is the volume of the cone changing when the radius is 120 in. and the height is 175 in.
Given:
[tex]\dfrac{dr}{dt}=1.4\text{ in/s}[/tex]
[tex]\dfrac{dh}{dt}=-2.1\text{ in/s}[/tex]
To find:
The rate of change in volume at [tex]r=120\text{ in. and }175\text{ in.}[/tex]
Solution:
We know that, volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Differentiate with respect to t.
[tex]\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right][/tex]
Substitute the given values.
[tex]\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right][/tex]
[tex]\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right][/tex]
[tex]\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560[/tex]
[tex]\dfrac{dV}{dt}=29920[/tex]
Therefore, the volume of decreased by 29920 cubic inches per second.
Mr. Lemus washed
2
7
of his laundry. His son washed
1
3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
his son
Step-by-step explanation:
About 56% of the 2,553 students are enrolled in at least one honors class. How many students are enrolled in an honors class?
Answer:
1429.68
Step-by-step explanation:
[tex] \frac{56}{100} \times 2553[/tex][tex] \frac{142968}{100} [/tex]= 1429.68Answer:
1429.68
Step-by-step explanation:
You make a banner for football rally 4 2/3 and 1 1/2 what is the area
The area of the banner is 7
The banner has a rectangular shape
A rectangle is a 2-dimensional shape with 4 sides. Opposite sides have equal dimensions and it has four right angles.
Area of a rectangle = length x width
4 2/3 x 1 1/2
Convert the mixed fractions to improper fractions
14/3 x 3/2 = 7
Please find attached an image of a rectangle.
To learn more about the area of a rectangle, please check: https://brainly.com/question/15218510?referrer=searchResults
A vehicle travels on the highway at a rate of 55 mi/hr. How long does it take the vehicle to travel 45 miles?
Answer:
speed = 55mi/HR, distance is 45 miles and time is not given so what we are finding is the time the vehicle used when travelling 45miles at a rate of 55mi/hr. distance=speed×time. 45=55×time(t). 45=55t. now divide 45 by 55t to get time. which is 0.82.
Tim's mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x?
Answer:
3.20 gallons
Step-by-step explanation:
The land in Mexico City is subsiding over time. What is the primary cause of this problem?
A.
too many dams being built along rivers
B.
deforestation caused by cutting down trees
C.
too many buildings being constructed
D.
underground aquifers being overpumped
Answer: D.
Step-by-step explanation:
Water is continually pumped out of underground aquifers to prevent flooding and to provide drinking water. This makes the soil compact, causing the city to sink.
Answer:
The correct answer is D. underground aquifers being over pumped
Step-by-step explanation:
A baby elephant weighs 1400 pounds, which is 7,437 pounds less than her mother. Write an equations to express the weight of the mother.
Answer:
8837 pounds
Step-by-step explanation:
m-7437=1400
mis the weight of the mother (expressed as a variable)
m-7437=1400
+7437 +7437
m=8837 pounds
I need help ASAP plzz
Step-by-step explanation:Well u need to try but if not i will help
I WILL MAKE YOU BRAINLIEST AND GIVE 10 POINTS PLZ HELP ME!
Take a look at the following set of data: 21, 74, 42, 89, 51, 38, 207.
What word describes the data point 207?
outlier
range
outsider
median
Answer:
A, Outlier
Step-by-step explanation:
This data point lies significantly out of the range of all the other data points.
In the restaurant, the bill was $80. If you want to give a
15% for the waiters, how much did you pay?
Answer:
You paid $92
Step-by-step explanation:
you convert 15% to a decimal which wold be .15 then you multiply 80 by .15 and get 12 then you add 12 to the 80 and get 92 so the bill would be $92
Need help with this problem:
Natalie is buying cat food to store in a bin that holds 30 cups of dry cat food. The store has bags of cat food that comes in different sizes. A small bag of food contains 8 1/4 cups of food. A medium bag holds 12 3/4 cups of food. A large bag holds 20 7/8 cups of food. Natalie buys multiply bags of the same size. Without calculating the exact amount determine how many bags Natalie should buy to get close to filling the bin as she can without going over 30 cups of food.
9514 1404 393
Answer:
2 medium bags
Step-by-step explanation:
Using estimates of 8, 12, and 20 for the number of cups in each bag size, you can see that the number of each size needed is ...
floor(30/8) = 3 . . . small bags
floor(30/12) = 2 . . . medium bags
floor(30/20) = 1 . . . large bag
3 small bags will contain 3(8 1/4) = 24 3/4 cups.
2 medium bags will contain 2(12 3/4) = 24 3/2 = 25 1/4 cups
1 large bag will contain 20 7/8 cups.
The closest Natalie can get without exceeding the container size is with purchase of 2 medium bags.
_____
Additional comment
The best solution would be to purchase 1 small and 1 large bag, for a total of ...
8 1/4 +20 7/8 = 28 9/8 = 29 1/8 . . . cups
However, that purchase is not multiple bags of the same size.
Sebastián was saving $8.50 each week in order to have enough money for a phone that costs $122. If his father
started him off with $25, write an inequality that can be used to determine the minimum number of whole weeks, w, Sebastián will need to save.
Answer:
The inequality is 25+8.50w≥122
I really need help I've answered mainly all the questions but i need some assistance with these few!!! Please show all work, so I can look how you found your answers THANK YOU SM!!!!
Use the function f(x)= - 4^x-1 - 2 to answer the questions below.
1.) State the equation for the asymptote.
2.)What is the range?
3.)What is the domain?
4.) Finally which axis is f(x) reflected over and what caused the reflection?
Answer:
See below for answers and explanations
Step-by-step explanation:
I assume the function you wrote was [tex]f(x)=-4^{x-1}-2[/tex]
1) The equation for the horizontal asymptote is y=-2 since a function of the form f(x) = a(b^x) + c always has a horizontal asymptote at y = c, so c=-2, therefore the horizontal asymptote equation is y=-2
2) The range is (-∞,-2) since any real value of y that is less than -2 but doesn't equal -2 (since it's not included) will be a solution.
3) The domain is (-∞,∞) since any real value of x will be a solution.
4) The axis that f(x) is reflected over is the x-axis because when you negate a base in an exponential function, that will occur.
A truck driver averages 62 miles per hour while delivering freight to a customer. On the return trip, the driver averages 50 miles per hour due to construction. The total driving time is 7 hours. How long did the return trip take? Round your answer to the nearest tenth of an hour.
Answer: 7 h and 20 min
Step-by-step explanation:
The return trip: 50
And hour : 7
So 50/7= the total return trip
50/7 = about 7.1428
Round to nearest 10th
Equals 7.20 so 7 h and 20 min is the total time.
1. What are parallel lines?
2. Write the converse of Theorem 3.8. Is the converse true?
3. Can you prove that lines p and q are parallel? If so, describe how.
Answer:
lines that never touch and are next to each other are parallel
Step-by-step explanation:
plz help due in 5min
Answer:
its b
Step-by-step explanation:
$24 shirt; 6% tax what is the answer please
The tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.
What is Tax?
A tax is a financial charge imposed on a taxpayer by a governmental organization in order to fund government spending and public expenditures.
Given is the selling price of shirt as $24. The tax rate is 6%.
Selling price of shirt [S.P.] = $24
Tax rate [R%] = 6%
Therefore, the tax amount = T[A] will be -
T[A] = $(S.P x R/100)
T[A] = $(24 x 6/100)
T[A] = $(24 X 0.06)
T[A] = $1.44
Therefore, the tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.
To solve more questions on Tax amount, visit the link below-
https://brainly.com/question/19924720
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A number line going from negative 2 to 0 in increments of 1. There are 4 equal spaces between each number. Point D is between the second and third mark to the right of negative 2. Point C is 1 mark to the left of negative 1. Point B is 1 mark to the right of negative 1. Point A is between the second and third mark to the right of negative 1.
Deepak plotted these points on the number line.
Point A: –0.3
Point B: – 3
4
Point C: – 11
4
Point D: –0.7
Which point did he plot incorrectly?
Point
Answer:the answer is c
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
i got it right e2020
*UPDATED*
*Will mark brainliest*
Charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he receives a total amount of $9,340 after 3 years, find the rate of simple interest.
*SHOW WORK AS SIMPLE AS POSSIBLE*
Answer:
9%
Step-by-step explanation:
12000:
5000 for 1 year
7000 for 3 years
Total interest earned:
9340 - 7000 = 2340
Let x be the irate of simple interst
(5000 x) + (7000(3x)) = 2340
26000x = 2340
x = 0.09
0.09 × 100 = 9%
Find the slope between (1,2) and (-4,1).
Chose all that are correct.
−1/5
−1/3
1/5
1/3
Answer:
-1/5
Step-by-step explanation:
y2-y1/x2-x1
1-2=-1
-4-1=-5
-1/5
Answer:
C) 1/5
Step-by-step explanation:
Find the Slope (1, 2) and (−4, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = __________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
y2 − y1
m = _________
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
1 − (2)
m = _________
−4 − (1)
Simplify the numerator.
−1
m = _________
−4 − (1)
Simplify the denominator.
−1
m = ________
−5
Dividing two negative values results in a positive value.
1
m = ________
5
The giraffes eat a lot of leaves! A giraffe eats 76 lbs. of leaves per
day. If there are 11 giraffes at the zoo, ABOUT how many lbs. of food
does the zoo need to feed the giraffes each day?
Answer:
About 840.
Step-by-step explanation:
The exact answer is 836 lbs.
6. The function (3) - 44x represents the number of jumping jacks j(x) you can do in x minutes. How many
jumping jacks can you do in 5 minutes?
2 149 jumping jacks
c220 jumping jacks
b. 239 jumping jacks
d 8jumping jacks
Answer:
We can do 220 jumping jacks in 5 minutes.
Step-by-step explanation:
We are given the function:
[tex]j(x) =44x[/tex]
Note: Considering there is typing mistake and the function is: j(x)=4x
where x is minutes
We need to find How many jumping jacks can you do in 5 minutes.
So, here x=5
Now putting value of x in the given function
[tex]j(x) = 44x\\Put \ x=5\\j(5)=44(5)\\j(5)=220[/tex]
So, we can do 220 jumping jacks in 5 minutes.
Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?
Answer:
10 inches long.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
I did 2.5*4 and got 10
The cost of 3 markers and 2 pencils is 1.80 the cost of 4 markers and 6 pencils is 2.90 what is the cost of each item
The ratio of x to y is 1:4.
Fill in the missing boxes with numbers to form a table with the given ratio.
Answer:
1:4
2:8
3:12
4:16
5:20
6:24
7:28
8:32
9:36
10:40
Step-by-step explanation:
Keisha was paid $320 for working over a three day period. She worked a total of 16 hours. How much was Keisha paid per hour?
Answer:$20
Step-by-step explanation:
320 ÷ 16= 20
graph it pls need help for a friend
Answer:
It would be a straight line through the points (0, -2) and (-0.667, 0)
Step-by-step explanation:
Answer: if you can't see it well, the points are (0,-2) and (1,-5). I'm pretty sure it's the one on your screen though
Step-by-step explanation:
