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
Looking at the two, 7[tex]a^{4} b^{2} c^{2} and14abc^{6}[/tex]
what is the GCF of these
Answer:
[tex]7abc^{2}[/tex]
Step-by-step explanation:
Which two integers is -1 2/3 in between?
-2 and -1
-1 and 0
0 and 1
1 and 2
Factorise fully
8+4g
Answer:
4(2+g)
Step-by-step explanation:
8+4g
Rewriting
4*2 + 4*g
Factor out the 4
4(2+g)
3
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given plecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)",
0 < I<3
1001 + 5,024,
3 < I<6
-12 + 5 + 5,630, 6
What were the boutique's monthly sales when Jenny first began tracking the data?
ОА.
$5,616
B.
$4,000
Ос.
$5,324
OD
$4,400
Reset
Next
Answer:
B. $4,000.
Step-by-step explanation:
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:
What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap
Answer:
The answer is 20
Answer:
19⋅2(3 third power)/5 =30 5/2 =30.4
Step-by-step explanation:
Find the surface area and the volume of the prism .
Answer:
[tex]14 + 4 + 5.5 + 3 + 5.5 {?}^{2} [/tex]
Answer:
Step-by-step explanation:
We have 2 congruent large prisms and one small one.
Volume of a large one= 2*2*14 = 56 cm^3.
Volume of smaller one = 4*3*2 = 24 cm^3.
So volume of the whole prism
= 2*56 + 24
= 136 cm^3.
Surface area of a large one = 3*2*14 + 2*2*5.5 + 2*2*2 = 114
Surface Area of smaller one = 4*3*2 + 2*2*4 = 40
So surface area of the whole prism
= 2 * 114 + 40
= 268 cm^2.
three employees each clocked a different number of hours worked this week.
Which employee has the highest earnings per hour?
Answer:
?
Step-by-step explanation:
There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U
Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.
The graph of a proportional relationship passes through the point (5, 2) .
What is the constant of proportionality of the relationship?
5
2
25
I don't know.
Well, 5 is like the point where it is, and 2 is the constant of proportionality.
Answer:
0.4
Step-by-step explanation:
2= slope *5 ,slope = 0.4
If 200 kids went to the zoo and only 10 came back how many got lost?
Answer:
200- 10 = 190
so, 190 kids came back..
Step-by-step explanation:
brainliest plz
Answer: 190
Step-by-step explanation:
200-10=190 right? brainiest please
5 1/2 ÷3/4 write it in fraction form
The Answer:
Simplified 7 1/3
Improper 22/3
Answer:
[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]
I hope I helped you^_^
thanks for the answer
Answer:
there's no questions haha, ty sa points
Answer:can you plz give us the question
Step-by-step explanation:
plz mark brainliest i need 5 of them
I think of a number Then multiply it by 3 then add 4 then divide by 4 my final answer is 3 less than the number is the number i thought of the beginning.
Write it as an equation and solve.
What is the solution to the equation 3 − 5 + 10 = 36
Answer:
False (no solution)
Step-by-step explanation:
What is the solution to the equation 3 − 5 + 10 = 36?
3 − 5 + 10 = 36
8 = 36
it's false
100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks
Step-by-step explanation:
y=8tan60=8√3
x=8/cos60 = 8 × 2 =16
The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?
Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.
The volume of the cubic container is given by the following equation:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
[tex]45 = 2h^3 - 9h^2 + 4h[/tex]
[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]
Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:
[tex]h = 5[/tex]
[tex]h - 4 = 5 - 4 = 1[/tex]
[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]
The dimensions of the container are of 1 inch, 9 inches and 5 inches.
A similar problem is given at https://brainly.com/question/16606259
Need help, look at picture
Can yall please help me with this I am helping my brother I just need the answers lol.
Answer:
hope it helps
Step-by-step explanation:
4. 1/3
5. 1/3
6. 3/4
7. 1/4
8. 1/2
9. 3/7
10. 2/7
11. 3/5
12. 2/3
A parallel line is a _____ of the original line
rotation
translation
Charlie rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 93 cents for each mile driven. Charlie had to pay
205.74 when he returned the truck. For how many miles did he drive the truck?
Answer:
Charlie drove 203 miles
Step-by-step explanation:
205.74-16.95=188.79
188.79/.93=203
Have a happy day <3 Miss Hawaii
no link or bot please right
Step-by-step explanation:
Answer in the picture above
And at the side 2 laws are mentioned
A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
The perimeter of a regular pentagon is 4 1/7
cm. Find the length of its each side
Answer:
29/35 cm for each of the 5 sides
Step-by-step explanation:
The perimeter is the length of all the sides added together. A pentagon has 5 sides. So you'd need to divide 4 1/7 by 5.
It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.
4/5 = 0.80 or 8/10
1/7 divided by 5 is written as (1/7) / (5/1)
When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.
So (1/7) / (5/1) turns into 1/7 x 1/5 = 1 / 35
Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.
8/10 would turn into 56/70
1/35 would turn into 2/70
Add them together now and you get 58 / 70. This can be reduced down to
29 / 35.
Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,
[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]
[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]
Which side in the figure on the right corresponds to segment QS?
What is the scale factor?
See the picture
Please help
Write the sides of GHI in order from shortest to longest
Answer:
IH, GH, IG
Step-by-step explanation:
We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.
The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.
The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.
The side in-between these two is side GH, which is opposite to the 60 degree angle.
Please help guys this is hard for my 3rd grader Brain
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELP ASAP PLS AND THANK YOU SO MUCH
Answer:
d) (18, 206)Step-by-step explanation:
According to the given relationship, we have:
y/x = 12Use the ordered pairs to find same ratio and compare:
a) 96/8 = 12b) 120/10 = 12c) 180/15 = 12d) 206/18 = 11.44 ≠ 12What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6
Answer:
33
Step-by-step explanation:
12
Bobby is in an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522 per week? Show Work please.
Divide total pay by hourly rate:
522 / 22.50 = 23.2 hours
Answer: 23.2 hours