The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
50,000 is 20% of what?
Answer:
250000
Step-by-step explanation:
20% of x is 50000
----------------------------
50000=20x/100
50000= x/5
5(50000) = x
250000 = x
Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15
Answer:
c is the answer
Step-by-step explanation:
-1/3x-1/6=2/9 solution
Answer:
-1 1/6
Step-by-step explanation:
Use a common denominator first to convert all the fractions so they can be easily added or subtracted.
Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18
1/3 = 6/18
1/6 = 3/18
2/9 = 4/18
So now you have
-6/18x - 3/18 = 4/18
add 6/18x to both sides so you can make the number with the variable positive
6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x
subtract 4/18 from both sides
- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x
Divide both sides by 6/18 so x is alone on the one side
( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18) simplifies to ( - 7/18) / ( 6/18) = x
When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across
so the new equation looks like this
- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108 you now have -126/108
x = -126/108 which simplifies to - 1 18/108 which can still be simplified more to -1 1 / 6 since 108 can be divided by 18 that gives you 6.
 RST is a right triangle with RS = 12,
RT = 20, and ST = 16. What is sin R?
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \sf\longmapsto sinR=\dfrac{ST}{RT}[/tex]
[tex]\\ \sf\longmapsto sinR=\dfrac{16}{20}[/tex]
Option B
Find the indicated values by using the table.
X= g(x)=2x+1
(Modified ex que Two years ago, Kim Ean invested RMP in her account which earns r% simple interest. After 18 months, she noticed that the amount had become RM10,450 and today the amount is RM10,600. Find the value of P and R.
Answer:
r= 3% P=10k
using formula S=P(1+rt)
substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you
0.05 divided by 1/10
Answer:
0.5Step-by-step explanation:
0.05 divided by 1/10
0.05 : 1/10 =
0.05 * 10 =
0.5
help with question 4 please
Answer:
dont know
Step-by-step explanation:
sorry
Mr.E.Terry, an engineer, runs a small business. The accounts for the firm are:
* Bank Automobile HST Payable Miscellaneous Expense
* A/R—Various Equipment E. Terry, Capital Rent Expense
* Office Supplies A/P—Various E. Terry, Drawings Telephone Expense
* Office Furniture HST Recoverable Fees Earned
* Journalize the following transactions, using the general journal page below. Calculate and add the HST on any transactions that need it. The rate for HST is 13%. Do not provide explanations.
Jul. 3 Cheque Copy
No. 105, Chambers Bros., payment for monthly rent $450 plus HST of $58.50,
total $508.50.
5 Purchase Invoice
From Glen Printing, $86.50 for office supplies plus HST
8 Sales Invoice
No. 50 to J. Greenley, $250 for services performed, plus taxes.
10 Cash Receipt
From R. Grieve, $200 payment on account.
18 Cash Sales Slip
No. 100 to E. Webb, $85.50 plus taxes.
20 Cheque Copy
No. 106 to E. Terry, $490 for personal use.
24 Bank Debit Memo
Bank deducted $25.00 for a bank service charge.
29 Cheque Copy
No. 107 to Star Blueprinting, $500 on account.
29 Cheque Copy
No. 108 to Municipal Telephone for payment of telephone bill, $200 plus HST of
$26, total $226.
31 Cheque Copy
The balances in the HST accounts for the previous period were: HST Recoverable
$890 and HST Payable $1410. Cheque 109 was written to the Receiver General
for $520 to clear the accounts for that period.
Journalizing these transactions.
Journalizing the transactions in the accounts of Mr. E. Terry's firm are as follows:
Debit Rent Expense $450
Debit HST Recoverable $58.50
Credit Cash $508.50
Debit Supplies $76.55
Debit HST Recoverable $9.95
Credit Accounts Payable (Glen Printing) $86.50
Debit Accounts Receivable (J. Greenley) $250
Credit Service Revenue $221.24
Credit HST Payable $28.76
Debit Cash $200
Credit Accounts Receivable (R. Grieve) $200
Debit Cash $85.50
Credit Service Revenue $76.66
Credit HST $9.84
Debit Drawings, Terry $490
Credit Cash $490
Debit Bank Charges $25
Credit Cash $25
Debit Accounts Payable (Star Blueprinting) $500
Credit Cash $500
Debit Utilities Expense $200
Debit HST Recoverable $26
Credit Cash $226
Debit HST Payable $1,410
Credit HST Recoverable $890
Credit Cash $520
Data Analysis:
a. Rent Expense $450 HST Recoverable $58.50 Cash $508.50
b. Supplies $76.55 HST Recoverable $9.95 Accounts Payable (Glen Printing) $86.50
c. Accounts Receivable (J. Greenley) $250 Service Revenue $221.24 HST Payable $28.76
d. Cash $200 Accounts Receivable (R. Grieve) $200
e. Cash $85.50 Service Revenue $76.66 HST $9.84
f. Drawings, Terry $490 Cash $490
g. Bank Charges $25 Cash $25
h. Accounts Payable (Star Blueprinting) $500 Cash $500
i. Utilities Expense $200 HST Recoverable $26 Cash $226
j. HST Payable $1,410 HST Recoverable $890 Cash $520
Learn more: https://brainly.com/question/16889477
solve pls brainliest
A) 52°
B) 78°
C) 96°
D) 39°
PLEASE HELP ME WITH THIS PLEASE!!!!!
Answer:
9)x=-4
10)x=5
11)x=4
12)x=-9
13)x=-8
14)x=-3
Step-by-step explanation:
A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.
Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,
Answer:
485
Step-by-step explanation:
first term = 16
second term = 23
common difference= second -. first
=23-16
=7
68 term= a + 67d
=16+67×7
=16 +469
=485
a
A map has a scale of 1cm : 3 km
On the map, the distance between two towns is 7cm.
What is the actual distance between the two towns?
Include units for your answer.
A map has a scale of 1cm : 4 kilometres.
The actual distance between two cities is 52 kilometres.
What is the distance between the cities on the map?
Answer:
7/3=2.3
1. the distance between the towns is 2.3 km
52/4=13
2. the distance between the cities on the map is 13 cm
Step-by-step explanation:
4.3 1/2* 2 1/2
Simplify
Answer:
35
Step-by-step explanation:
4.3 1/2 * 2 1/2 = 35/1 =35
If this is wrong i'm sorry
A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m
Answer:
D. 73.48 m.
Step-by-step explanation:
The diagonal distance across the meadow
= √(30^2+30^2)
= √1800
tan 60 = h / length of the diagonal (where h = height of the pillar).
h = √1800 * tan 60
= 73.48 m
The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m
Angle of elevation and depressionThe angle situated below the pillar is known as the angle of elevation
Determine the diagonal distanceThe diagonal distance across the meadow is calculated using the Pythagoras theorem:
l = √(30^2+30^2)
l = √1800
tan 60 = h/l
where h = height of the pillar
h = √1800 * tan 60
h = 73.48 m
Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m
Learn more on angle of elevation here: https://brainly.com/question/25748640
The mean numbers of hours of part time work per week for a sample of 521 college students is 27 if the margin error for the population mean with a 95% confidence interval is 1.2 construct a 95% confidence interval for the mean number of hours of part time work per week for all college students
Answer:
fh
Step-by-step explanation:
prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta
Answer:
sorry need lng po
Step-by-step explanation:
pa brainlies
Find the inverse function.
f(x) = x + 1
f-1(x) = (x + [? ])[ ]
Answer:
the inverse function is f^-1(x) = (x-1)^3
I have more question then this
Answer:
A reflection over the y axis
Step-by-step explanation:
Because reflection is an image produced by or as if by a mirror.
Solve for x. −23(3x−4)+3x=56
A. x=−196
B. x=−116
C. x=216
D. x=296
Answer:
x = 6/11
Step-by-step explanation:
−23(3x−4)+3x=56
Distribute
-69x + 92 +3x = 56
Combine like terms
-66x+92 = 56
Subtract 92 from each side
-66x+92-92 = 56-92
-66x =-36
Divide each side by -66
-66x/-66 = -36/-66
x = 6/11
Answer:
x=6/11
Step-by-step explanation:
Blanca is considering selling her blossoming art business, but is unsure what fair value would be. A friend in accounting told her she could help if she can calculate her EBIT. She has sold 120 art collages for $300. Her expenses are minimal since she usually uses recycled materials. She estimates it costs her about $4 per collage and she has created 200 collages this year. Help her calculate her EBIT. Annual Revenue Annual Expenses, and EBIT
Answer: 15x-4956
Step-by-step
this is
lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
8+4 =17+5
identify and explain the error made by the leaner
Answer:
let the value of x
Step-by-step explanation:
x=8+4=17+5
x=12=22x=22/12
x=1.8334
answer the question right or I report you
Answer:
3 ÷ 0.25
Step-by-step explanation:
There are three squares, so 3.
Each square is divided into four squares,
One square out of four squares is,
1 / 4 = 0.25
Therefore,
3 ÷ 0.25
What is 91835 rounded to the nearest Highest Place
Answer:
90,000
Step-by-step explanation:
100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!
Answer:
divide 8/3
8/3 = 2
and for -11/3 it = -4 because it would originally = to -3.66666666667 and u have to round it.
----------------------------------
for the second picture
make it into an improper fraction
-2 1/2 = -5/2
and for 6 1/2 it = to 13/2
now, to plot it on the line you have to divide
divide -5/2 = -2.5
and divide 13/2 = 6.5
------------------------------------
Hope this helps!
find the value of 5x³+x²-2x, if X=2
Answer:
5(2)^3 + (2)^2 - 2(2)
5(8) + 4 - 4
=40
Step-by-step explanation:
Since X = 2, you'll put 2 in the place of x, that means anywhere you find an X, you'll replace it with an X.
The points (-6, 4) and (-4, r) lie on a line with slope 3. Find the missing coordinate r.
[tex]\\ \sf\longmapsto m=3[/tex]
(-6,4)(-4,r)[tex]\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3[/tex]
[tex]\\ \sf\longmapsto \dfrac{r-4}{2}=3[/tex]
[tex]\\ \sf\longmapsto r-4=6[/tex]
[tex]\\ \sf\longmapsto r=6+4[/tex]
[tex]\\ \sf\longmapsto r=10[/tex]
Explain how multiplying with 6 is like multiplying with 3.
Answer:
Step-by-step explanation:
lets say 6 times 6 =36
3 is a half of six so if you
6x6=36
3x6=18