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
Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty
Answer:
40%
Step-by-step explanation:
Richard wants to purchase a new Havaianas. The cost of the havaianas he wants to buy is Php299. Richard has saved Php42 for his new purchase. His parents are willing you give him three times what he has saved. On the weekends. Richard cut lawns for Php20 an hour. How many more hours will Richard have to work until he has enough money to purchase his Havaianas?
Using the required arithmetic operations, the number of mowing hours required to meet up with the cost of the Havannian ls 7 hours.
Cost of Havannian = Php 299Amount saved = Php 42The amount he'll be given by his parents = 3(42) = Php 126
Total amount = 42 + 126 = Php 168
Amount left to meet up cost of Havannian = (299 - 168) = Php 131
Lawn cutting rate per hour = Php 20
Number of cutting hours needed = (Php 131 ÷ Php 20) = 6.55 hours
Therefore, in other to meet up with the cost of the Havannian, hell have to mow for atleast 7 hours.
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The hours Richard would have to work more in order to purchase his Havaians is 7 hours.
The first step to take in order to determine the answer is to determine the total amount Richard has.
Amount saved = Php 42
Amount his parents would give him = php 42 x 3 = php 126
Total amount Richard has = 126 + 42 = Php 168
The total amount Richard has to get in order to purchase the item:
Php 299 - Php 168 = Php 131
The total hours Richard has to work in order to have enough money = Php 131 / 20 = 6.55 hours
This is approximately 7 hours.
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If you randomly select a card from a well shuffled standard deck of 52 cards, determine the probability that the card you select is 8.
a) reduce fraction
b) decimal rounded to the nearest thousands
c) percent round to the nearest tenth of a percent
Answer:
a) 1/13, b) 0.077, c) 7.7%
Step-by-step explanation:
There are 4 cards of 8 in a deck, so the probability is 4/52, which can be reduced to 1/13. 1/13 rounded to the nearest thousandths is 0.077, which is 7.7%.
one step equations. due in 30 minutes pls help quick!!
Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it
Answer: Im 99.9% sure that its 4.48
Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48 :)
4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations
4. -17/3
5. -20
6. 10
7. -14
8. -11
9. -25
10. -30
11. -25
12. 22
13. 14
14. -15
15. -10
Can you guys help me out
Answer:
what grade are you in that requieres this type of math
Step-by-step explanation:
Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?
Please i need this now
Answer:
356
Step-by-step explanation:
She will earn a total of $296.
We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.
We have to determine - How much will Alani earn if she works for 37 hours.
If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.The amount of money you will earn will be = $30[tex]x[/tex].
According to question, we have -
Pay per hour = $8
Number of hours she work in a week = 40 hours
For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -
$8 x 37 = $296
Hence, she will earn a total of $296.
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HELP RN PLEASEEEEEE
4. 4^6x4^3
4^9 4^18 12^9 64^9
trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Answer:
từ khoảng 70 đến 90 phần trăm
Who can help me with these two.?
Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!
The cost of making a cake is $9. The Baker wants to make a profit of $ 9 per cake and the cake is to be cut into 36 pieces, what is the selling price of each piece?
Answer:
$0.50Step-by-step explanation:
Given
Cost price = $9Selling price of the cake is:
$9 + $9 = $18Selling price of each piece:
$18/36 = $0.50Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?
Among 690 adults selected randomly from among the residents of one town, 23.5% said that they favor stronger gun-control laws. Group of answer choices 162 161 163 160
Answer:
It would be 162
Step-by-step explanation:
690 x 0.235 = 162.15 which rounds to 162
What is the average distance covered in meters?
Answer:
4.17666666666666666667
Step-by-step explanation:
add 4.5 4.21 and 3.82 then divide it by 3
The increasing on the intervals
The decreasing on the intervals
Help! Pls...........
Answer:
I don't know sorry sorryy
pls help me with this math
in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.Whatia the slops of the lime through (-2,16) and (2,2)
Evaluate -8x+5-2x-4+5x
Answer:
The value of the expression is - 9.
Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.
Step-by-step explanation:
x = 2
- 8x + 5 - 2x - 4 + 5x
= - 8x - 2x + 5x + 5 - 4
= - 10x + 5x + 1
= - 5x + 1
= - 5 ( 2 ) + 1
= - 10 + 1
= - 9
EASY WILL GIVE BRAINLIEST
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answer:
I think the answer is 98?
Step-by-step explanation:
I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Time taken if all the three work together is 15min
What is Time?
Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The first worker can sort the stack in 25 minutes. So every minute that goes by,
he does 1/25 of the job.
The second employee completes 1/45 of the stack per minute,
While the third employee completes 1/225 of the task.
Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.
x·1/25 + x·1/45 + x·1/225 = 1
To eliminate all fractions from the calculation, multiply each term by 225.
225x/25 + 225x/45 + 225x/225 = 225
9x + 5x + 1x = 225
15x = 225
x = 225 / 15
x = 15
Hence, It will take 15min to sort the mail if all three work together
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Does anyone know what 7600 53/8 simplified is
Answer:
53/8 = 53/8
Step-by-step explanation:
Here we will simplify 53/8 to its simplest form and convert it to a mixed number if necessary.
In the fraction 53/8, 53 is the numerator and 8 is the denominator.
When you ask "What is 53/8 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.
We do this by first finding the greatest common factor of 53 and 8, which is 1.
Then, we divide both 53 and 8 by the greatest common factor to get the following simplified fraction:
58/3
Therefore, this equation is true:
53/8 = 53/8
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
53/8 = 6 5/8
-Hope this helps.
Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
Increase £2193.67 by 8.5% Give your answer rounded to 2 DP.
Answer:
£2380.13
Step-by-step explanation:
An increase of 8.5% is 100% + 8.5% = 108.5% = 1.085 , then
£2193.67 × 1.085 = £2380.13 ( to 2 dec. places )
what is a Scalene triangle?
Answer:
A triangle that has no equal sides is a scalene triangle.
A) HL
B) Not enough information
C) AAS
D) SAS
Choose the solution for the equation 3(p+8) = 2(2p-1)
a) p=24
b) p=26
c) p=-26
d) p=-24
Answer:
b) p=26
Step-by-step explanation:
3p + 3 · 8 = 2 ·2p - 2
3p + 24 = 4p - 2
p = 26
Given: 5n - 42 = 12n; Prove: n= -6
What are the Statements
What are the Reasons
Answer:
-72=-72
Step-by-step explanation:
5n-42=12n
n=-6
5*(-6)-42 = 12*(-6)
-30-42=-72
-72=-72
So, n= -6 is the right number for this equation
Hhopppppopppppppohelpppppp
Answer:
gffghjjdfdgfgjgfdgj
Step-by-step explanation: