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jeka94
3 years ago
12

Every row consists of 2,3 and 2 seats each. If there are 51 horizontal rows, and 13 seats are empty. How many passengers are on

board?
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

344

Step-by-step explanation:

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A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner
algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by  using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

V=x(216-24x-36x+4x^{2})

V=x(4x^{2}-60x+216)

V=4x^{3}-60x^{2}+216x

So now we can find the derivative of the volume:

V'=12x^{2}-120x+216

and set it equal to zero, so we get:

12x^{2}-120x+216=0

and now we can solve. We can start by factoring the left side of the equation, so we get:

12(x^{2}-10x+18)=0

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}

so we substitute the corresponding values:

x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0
3 years ago
5pm to 5 am how many hours
slega [8]

Answer:

12 hours

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which situation can be modeled by the inequality 50 - 12x > 8?
eduard

Answer:

Option D.

Step-by-step explanation:

Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.

Let x be the amount paid on each week.

50-8\leq 12x

50-12x\leq 8

You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.

Let x be the amount of each package.

50-12x\geq 8

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.

Let x be the amount paid on each week.

50-12x

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).

Let x be the number of shirts

50-12x>8

Therefore, the correct option is D.

7 0
3 years ago
which of the following will always pass through a vertex of a triangle (pick three) 10 altitude 2) perpendicular bisector 3) mid
jeka57 [31]
The answer to this is A,B,D hope this helps:)
3 0
3 years ago
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Can you help me with this I really need it it is for a test
3241004551 [841]

Answer:

90

Step-by-step explanation:

each dot = 45 bc 540 / how many dots there are which is 12 = 45 then there are 2 dots worth of 45 making it 90

math

540/12=45

45 x 2 = 90

4 0
3 years ago
Read 2 more answers
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