Answer:
$440
Step-by-step explanation:
You need to divide 660 by 3 to find the price of one, which is $220, then you need to multiply that number by 2 to get the price of two, which is $440.
I hope this helps!!!
Hi-Tech, Inc., is a computer training company serving metropolitan Toronto, Canada. The firm contracts a group of part-time instructors to teach a variety of courses concurrently at its downtown location. While demand is so high that any class offered will be filled immediately, Hi-Tech is looking at only two courses at this time: Introduction to Computers (ITC) and Creation of Web Pages (CWP). Each ITC class requires 7.5 hours of preparation/instruction time and contributes a profit of $720, whereas each CWP class calls for only 3 hours and contributes $300. Available time for these two courses is limited to 56 hours a day. There is a restriction on the maximum number of trainees that can be efficiently handled. More specifically, at most 100 students can be accommodated on a daily basis without putting a strain on the facility and support staff. Additionally, each course has a class size limit - 6 for ITC and 12 for CWP. Hi-Tech would like to maximize the daily total profit from both courses so that it could offer certain other courses on a "goodwill" basis. Formulate an AILP for management to decide how many classes should be scheduled for each subject daily
What is the objective function?
Answer:
The AILP for management to decide how many classes should be scheduled for each subject daily is
The objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the first constraints to this functions is
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
Step-by-step explanation:
From the question we are told that
The time required for each ITC class is [tex]t_c = 7.5 \ hours[/tex]
The profit of each ITC class is [tex]P_c = \$ 720[/tex]
The time require for CWP class is [tex]t_w = 3 \ hours[/tex]
The profit for CWP class is [tex]P_w = \$ 300[/tex]
The total time available is [tex]t_a = 56 \ hours / day[/tex]
the maximum number of trainee that can be accommodated in a daily basis is [tex]N = 100[/tex]
The class size limit for ITC is [tex]k =6[/tex]
The class size limit for CWP is [tex]u =12[/tex]
Generally the aim of Hi-Tech is to maximize profit
So the objective function will be a function that maximizes profit
Generally the objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the constraints to this functions are
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
On a number line, which fraction would be to the right of 1/2?
A) 2/12
B) 1/3
C) 10/20
D) 16/25
Answer:
C. I hope this helps! Have a great day.
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?
Jakes grandmother lives 8 miles away from him.His aunt lives 6 times as far away from him as his grandmother.How far away does his aunt live ?
Answer:
48 miles.
Step-by-step explanation:
If Jake's grandma lives 8 miles away, and his aunt is 6 times as far, then you multiply 6 * 8 and get 48.
A circle’s circumference is 600 m. What is the circle’s area?
a
36,000.17 m^2
b
180,067.87 m^2
c
57,275.17 m^2
d
300,000 m^2
Need this answer asap or My Moms going to KILL me
Answer:
A-36,000.17m^2
Step-by-step explanation:
If you have a box of candy that is 8 inches long, 5 inches wide, and 2
inches tall, how much space do you have for candy?
I WILL MARK BRIANLIEST PLEASE HELP!!!
Answer:
50 degrees
Step-by-step explanation:
Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)
If the sum of three consecutive numbers is 1998, what is the first one?
Answer: 665
Step-by-step explanation: X + X + 1 + X + 2 = 1998
3X + 3 = 1998
3X + 3 - 3 = 1998 - 3
3X = 1995
3X/3 = 1995/3
X = 665
If you vertically shift the quadratic parent function, F(x) = x^2, up seven units, what is the equation of the new function? A. G(x) = x^2 - 7. B. G(x) = (x + 7)^2. C. G(x) = 7x^2. D. G(x) = x^2 + 7
Answer:
D
Step-by-step explanation:
G(x) = x^2 + 7
juss took the test yw
What are the Factors of 8?
Answer:
1,2,4,8
Step-by-step explanation:
Try 1x8=8, put on factor list.
Take 2.
Take 3 next.
Since there's no more, iss done.
WHO KNOWS HOW TO DO solving literal equations please help I'll put you on brain list
1. [tex]nx + y = 3f[/tex]
2. [tex] \frac{x}{2} - h = 3n[/tex]
3. [tex]px + qx = w[/tex]
4. [tex]5h \: \frac{x - 3}{w} [/tex]
5. [tex]c = \frac{ax}{x + b} [/tex]
6. [tex] \frac{2}{x} + \frac{n}{y} = 3[/tex]
Answer:
are u an bts army ?????????? can u pls comment me
3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
can you buy to spend no more than $10?
4 dollars flat $4.00
Step-by-step explanation:
1.25x4= 5$ 5$+5$=10$
Answer:
4 candy bars
Step-by-step explanation:
you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10
D is the midpoint of CE and EC = 18. Find the length of DE
Answer:9
Step-by-step explanation:
What is the mixed number fraction for 4 5/8
Answer:
37/8
Step-by-step explanation:
Answer:
37/8
Step-by-step explanation:
gh
Factor completely
3x^2 + 7x - 6
Zzz
Answer:
(3x−2)(x+3)
Step-by-step explanation:
these are ur answers
find the measure of angle b
a car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles how many miles will he be charged explain
Answer:
41 miles
Step-by-step explanation:
the company is saying they will round the number of miles, and charge you that number
when rounding 40.8, you round up to 41
1,2,3,4 rounds down to 0
5,6,7,8,9 rounds up to the next 0 up
The required miles he will be charged for is 41 miles.
Given that,
A car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles
To determine how many miles will he be charged.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
The customer traveled for 40.8 miles,
Now round it to the nearest whole miles, Since 40.8 where 0.8 is 0.2 near to the 1 so the round of 40.8 become 40.8 + 0.2 = 41
Thus, The required miles he will be charged for is 41 miles.
Learn more about round the decimal here;
brainly.com/question/867784
#SPJ2
The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.
What is the x-coordinate of this endpoint?
Answer:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]
Solve for x. First, let's square both sides. This cancels out the square roots:
[tex]39=(x-4)^2+(2+3)^2[/tex]
Evaluate the second term on the right:
[tex]39=(x-4)^2+(5)^2[/tex]
Square:
[tex]39=(x-4)^2+25[/tex]
Subtract 25 from both sides:
[tex]14=(x-4)^2[/tex]
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
[tex]x-4=\pm\sqrt{14}[/tex]
Add 4 to both sides:
[tex]x=4\pm\sqrt{14}[/tex]
Therefore, there exists two possibilities for our second point. It can either be:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
And we're done!
1. At Doug's discount all CDs sell for the same price. There is also one price for
DVDs. Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
I know Dave's one is 13.04$ Just to get you started.
Step-by-step explanation:
If you divide Dave's one, which is 67 by 5, you get 13.05.
Do the same with Joyce's.
Find -5/6 / 1/2. Write in simplest form
What is the sum of (−9x4+6x3+2x5+6) and (3x5+3x4+7x3+8)?
Answer:
(−9x4+6x3+2x5+6)
(3x5+3x4+7x3+8)
Step-by-step explanation:
The answer to (−9x4+6x3+2x5+6) is -2
and the answer to (3x5+3x4+7x3+8) Is 56
A food scientist determine the new type of orange is 15.38 mg of vitamin c/oz how much vitamin C is in orange that weighs 6 3/5 oz in your answer as a decimal to the nearest 10th in the box
Answer:
(Sorry this is a late response) This fraction 6 3/5 would equal 6.6 so 6 3/5=6.6 Then you will do 6.6 times 15.38=101.508 or 101.5
Step-by-step explanation:
You would divide 3 and 5 or 5 and 3 because 3 and 5 equals the fraction 3/5. The dividend is 3 and the 5 is the divisor. The quotient of this is 0.6. So the next step would be to add the 6 from 6 3/5 so this is the whole number so add it in front of 0.6 so it would turn into 6.6. The last step is to multiply the weight of the orange by the mg of vitamin C/oz that is 15.38 so multiply 6.6 by 15.38 this would equal 101.508 so you would just round this to a better answer and that would make it 101.5. I hope this helps :0
write 1/64^2 using a negative exponent
▪ Answer:
2^(-12)
▪ Step-by-step explanation:
Hi there!
1/64^2 =
= 1/(2^6)^2
= 1/2^12
= 2^(-12)
Good luck !
use
(a^b)^c = a^(b×c)
1/a^b = a^(-b)
3. Find the precise. or exact. sum of these two numbers. 123+358 =
Answer:
481
Step-by-step explanation:
What is the answer for 7/10=z/8 please explain steps
Answer:
5.6
Step-by-step explanation:
Step 1:
7/10 = z/8 Equation
Step 2:
10z = 56 Multiply
Step 3:
z = 56 ÷ 10 Divide
Answer:
z = 5.6
Hope This Helps :)
g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)
Answer:
19+23
Step-by-step explanation:
Jenny has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer.
Answer:
1.92 m^2
Step-by-step explanation:
1.6 m x 1.2 m
1.92 m^2
I NEED HELP ASAP PLEASEEEEEE
Answer:
3/24= 33/264
2/9= 12/54
4/5= 32/40
8/9= 16/18
42/18= 7/3
32/12= 8/3
Step-by-step explanation:
You have to use common factors and denominators to match numbers. VERY COMPLICTED! Hope this helps!
need help............
Answer:
Answer=A
Step-by-step explanation:
(when dividing two powers we subtract the upper power by the bottom one)
[tex]\frac{7^{10} }{7^{3} }[/tex]
=[tex]7^{10-3}[/tex]
[tex]7^{7}[/tex]
The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy.
For each of the following classify the variable as explanatory, response, or neither.
a. Whether the student attended a workshop.
b. Number of workshops attended
c. Whether the student passes the course
Answer:
a. Whether the student attended a workshop. Neither
b. Number of workshops attended. Explanatory variable
c. Whether the student passes the course. Response variable
Step-by-step explanation:
In a given experiment, the response variable addresses the core of the question that was asked. In the experiment above, we are trying to determine the passing rate. That is the response variable. The explanatory variable provides an explanation for the response.
The number of workshops attended by the students would provide an explanation of their passing rates. Whether the student attended a workshop is not a consideration in the experiment, because it is believed that they would attend the workshop.