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3 years ago

12

For a field trip, 4 students rode in cars and the rest filled nine buses. How many students went in each bus if 472 students wer

e on the trip

1 answer:

Len [333]3 years ago

3 0

Answer:

52

Step-by-step explanation:

only 4 students went in the cars. So 472-4=468.

You have 9 buses.

So 468÷9=52

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A rectangular sheet of perimeter of 36 cm and dimensions x cm by y cm is to rolled into a cylinder. what values of x and y give

elena55 [62]

Given that perimeter of the rectangular sheet= 36cm, Height of cylinder =y base circumference of the cylinder = x = 2pir

So x+y = 36/2 = 18 , y = 18-x, so height of the cylinder = 18-x and radius of cylinder = x/2pi

So volume of cylinder = pir^2h = pi(x/2pi)^2* (18-x) = (x^2* (18-x))/(4pi)

Let f(x) = (x^2(18-x))/(4pi)

We need to maximise this volume function.

So f'(x) = (1/4pi) ( -x^2 + 2x(18-x))= (1/4pi)(x)(-x+36-2x)= (1/4pi)(x)(-3x+36)

So f'(x) = 0⇒ (1/4pi)(x)(-3x+36)=0⇒x=0 or x= 12

Since x+y = 18, so 0<x<18

f'(x) = (1/4pi)(-3x^2+36x)

So f''(x) = (1/4pi)(-6x+36)⇒ f''(12) = (1/4pi)(-6*12+36) = -9pi <0

So using second derivative test x=12 gives the maximum volume.

Since x+y =18 so 12+y=18 ⇒y = 6

So x=12cm and y = 6cm give the largest volume.

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3 years ago

Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of

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A interesection B means similarities between the two sets.
The possible values you can get in B are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A:
3, 5, 7, 9, 11

Therefore A intersection B = {3, 5, 7, 9, 11}

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4 years ago

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4 years ago

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At Furnace Woods School, enrollment increased from 320 students in 2006 to 349 students in 2007. What is the percent increase in

drek231 [11]

Answer:

9.0625%

Step-by-step explanation:

It increased from 320 to 349

This is a percent INCREASE.

320 is the "old" value and 349 is the "new" value.

We find percent increase by the formula:

$\frac{New-Old}{Old}*100$

Where old is 320 and new is 349. Lets substitute and find the increase (percentage):

$\frac{New-Old}{Old}*100\\=\frac{349-320}{320}*100\\=\frac{29}{320}*100\\=9.0625$

The percentage increase is 9.0625%

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3 years ago

A triangle has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the leng

klasskru [66]

Answer:

70 = 1/2 b *8

17.5 inches =b

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

We know the area and the height

70 = 1/2 b *8

70 = 4b

Divide each side by 4

70/4 = 4b/4

17.5 =b

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3 years ago