Answer:
[tex]5 < 2m[/tex]
Step-by-step explanation:
Please mark as Brainliest if this answer helped you! :)
(if you need it written in numbers as an expression, I hope this will help! The other answer interpreted it as an inequality, so hopefully one of these gives you the answer you are looking for!)
5 less than two times 'm'
\/
two times 'm' minus 5
\/ \/
2m -5
\/
2m - 5
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
.45, .75, .5, .625 in greatest to least
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
1.0286 as a fraction
Answer:
1 143 /5000
Step-by-step explanation:
4 x - 6y x = 3 y = 2
5x-6<24
on a number line
Answer:
x<6
Step-by-step explanation:
5x-6<24
Add 6 to each side
5x-6+6<24+6
5x< 30
Divide each side by 5
5x/5 < 30/5
x < 6
There is an open circle at 6 and the line goes to the left.
Step-by-step explanation:
5x - 6 < 24
5x < 24 + 6
5x < 30
x < 6
[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]
A truck can be rented from Company A for $70 a day plus $0.50 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 300 miles, $220
Step-by-step explanation:
PLEASE HELP ME
The unit claims that you can increase the challenge of your workouts by using Newton’s first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton’s first law to create a more challenging workout? When you change the terrain, what is that force called?
Answer: Use Newton's first rule of motion to make your workout more difficult.
This rule says that until acted upon by an external force, a body continues in motion.
By altering the ground on which you exercise, you may reduce the influence of inertia on your exercises, as inertia maintains you going forward.
Workout on materials that slow it down your upward motion, requiring you to expend more energy to keep going ahead.
Run on sand rather than tarmac, or do aerobic exercises on rubber mats rather than wood flooring.
Happy To Help ;)
Step-by-step explanation:
A scientist drops a probe in the water. The depth of the probe changes −1 1/2 feet every second. How many seconds will it take for the probe to reach the bottom at a depth of −114 feet?
Find 178 ÷ 8.
22 R1
23 R2
22 R2
Answer:
22. R2
Step-by-step explanation:
Answer:
22 R2.
Explanation:
I used the method of long division.
Please mark BRAINLIEST, I'll follow you.
A train travels at 100 miles per hour. Write an equation that compares the time (t) with the distance (d).
t = 100d
d = 100t
d = t + 100
t = d + 100
Answer: d = 100t
Hope this helps!
Answer:
d = 100 * t
Step-by-step explanation:
d
------------
S l t
distance = d
time = t
speed = 100miles/h
d = 100 * t
The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47.
How much does one sandwich cost?
A. $5.30
B. $3.50
C. $4.50
D. $6.50
Answer:
look at the photo..........
Calculate the state income tax per year in PA on a salary of $55,000 *
1 point
$1688.50
$200.00
$700.00
Answer:
If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.
Step-by-step explanation:
Solve the compound inequality. -2x<-10 and x-3<4
Answer:
x > -7/12. This is the answer to this question.
what is the solution to this inequality?
3n > 45.
A. n>15
B. n>42
C. n>48
D. n>135
Answer:
the answer to your problem is c
Use your expression from #2 to answer the following question. If there are 6 $5 bills and 4 $10 bills, how much money is in the box
Answer:
70 dollars
Step-by-step explanation:
6 x 5 = 30, 4 x 10 = 40. Add them up, that's what you get.
The next model of a sports car will cost 6.3% less than the current model. The current model costs $45,000. How much will the price decrease in dollars? What will be the price of the next model?
Answer:fevagria un 30% de dinero
Step-by-step explanation:
Can you please answer this question?
R = E / I solve for I
I = E/R
Step-by-step explanation:
r = E/I
IF the bottom number of a fraction is multiplied the it's whole number version, the bottom of the fraction is gone and the letter moves to the other side
I*r = E/I * I
IR = E
divide both sides by R to get I by itself
IR/R = E/R
I = E/R
please help ME I BEG YOU
Step-by-step explanation:
I think it is 44.
if wrong forgive me.
hope this helps.
Answer:
44
Step-by-step explanation:
1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).
2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.
Therefore, the answer is 44.
If your goal is to retire with at least $1 million, how long would it take—and how much would you need to invest each month—if your anticipated rate of return is 10%? At what age could you retire if you started investing at age 25?
Answer:
There is no simple one size fits all answer to this question, because I need a few more variables to solve it. Or you can go to bankrate.com and use the millionaire calculator and figure it out on your own. I put a sample in the photo.
Hope this helps!;)
Step-by-step explanation:
1. Your age= 25
2. Target age=? obviously you don't want to be too old to spend it.
3. Current investments=? how much are you starting with 0 or more?
4. Savings per month=? only you know how much you can set aside out of your income
5. Expected rate of return=10%
6. Expected inflation rate= 2.9% (last I heard 2021)
Question 25
Multiply two or more consecutive integers to obtain a six-digit palindrome whose first two digits are “47”. What is the sum of these consecutive integers?
(A palindrome is a number that reads the same backwards as forwards)
Answer:
234Step-by-step explanation:
The number is in the form of:
47AA74This is divisible by 2, can be divisible by 3 but not divisible by 4 as 74 is not divisible by 4.
So possible number of integers is 2 or 3.
Two consecutive integersThere is no possible product ending with 4 (test it yourself)Three consecutive integersThe numbers are x - 1, x and x + 1
The product is between 470074 and 479974
Their product is between:
(x - 1)³ < x³ < (x + 1)³470074 ≤ x³ ≤ 479974∛470074 ≤ x ≤ ∛47997477.75 ≤ x ≤ 78.29x = 78 is the only integer within this intervalLets test:
77*78*79 = 474474Sum of these:
77 + 78 + 79 = 234Mrs. O'Brien's hens laid 9 dozen eggs today. Since a dozen is 12, how many eggs did the hens lay? (5th grade math LOL)
Answer:
108 eggs
Step-by-step explanation:
9×12=108 eggs
Hope it helps!!!
Let p and q represent the following simple statements:
symbolic representation is .........p v q read as p conjunction q .
Plz mark me brainest .
ANSWER THE QUESTION. THE IMAGE IS THE QUESTION.
Answer:
18, because the number of catalogs is 72/5 ÷ 4/5
Step-by-step explanation:
The answer is the last option because in total, the shelf is 72/5 inches wide. Given each catalog is 4/5 inch wide, and we want to find how many catalogs can fit in the shelf, we have to divide 72/5 by 4/5. When we divide 72/5 by 4/5, we get 18.
Answer:
18
Step-by-step explanation:
Because 72/5 by 4 over 5
72/4
= 18
Hope this helps :) Pls mark brainliest if you want
Please help. I will give brainly. Thank you
Answer:
1.
a = 1.96
( 1.4 x 1.4)
b= 3750
c= 1/48
2.
a= 2?
dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.
b= 3
c= 16-4a
( IM NOT SO CONFIDENT ABOUT 2)
3.
a= 17
b= ( 2squared - 1)
Step-by-step explanation:
Answer:
thank you for the points bozzo
Question 1
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2). Compare the perimeters and the areas of the rectangles. Are the rectangles similar? Explain.
Answer:
yes
Step-by-step explanation:
The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2).
As per the given data, the figure of two rectangles has been attached below.
According to the graph,
The perimeter of the rectangle ABCD = 2(3 + 4) = 2(7) = 14 units
The perimeter of the rectangle WXYZ = 2(6 + 8) = 2(14) = 28 units
The area of the rectangle ABCD = (3 × 4) = 12 units²
The area of the rectangle WXYZ = (6 × 8) = 48 units²
The rectangles are similar because the ratio of length to width is equivalent.
The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ5
On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
A.
reflection across the y-axis
B.
reflection across the x-axis
C.
reflection across both axes
D.
locations unrelated
Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
[tex](x,y)[/tex]→[tex](-x,y)[/tex]
For (-4,8)
[tex](-4,8)[/tex]→ [tex](-4,-8)[/tex]
So, it is reflection across the y-axis.
Therefore, the correct option is A.
I need help I don't understand.
Answer:
x=6
Step-by-step explanation:
help please thank you
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
Answer:
f(g(x)) = 15x3 + 16
Step-by-step explanation:
6. Find the missing lengths of the sides.
Answer: D
30 60 90 trinagle rules
a=8
b=a sqaure root of 3 or 8square root of 3
c=2a or 2*8 or c=16
Step-by-step explanation:
Step-by-step explanation:
sin30°=8/c
1/2=8/c
8×2=c
16=c
tan30°=8/b
[tex] \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b[/tex]
option. d