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in a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. how many balls are blue?

6

Step-by-step explanation:

First, find common denominators for the fractions given. In this case, it will be 24. Remember that what you multiply to the denominator, you multiply to the numerator:

(1/4) x (6/6) = 6/24

(1/8) x (3/3) = 3/24

(1/12) x (2/2) = 2/24

(6/24) + (3/24) + (2/24) = (6 + 3 + 2)/24 = (11)/24

11/24 of the balls are NOT white.

Find the amount that are white. Subtract 11/24 from the total, 24/24:

24/24 - 11/24 = 13/24

Multiply:

26 * (1/8)/(13/24) = (26/8)/(13/24) = (13/4) * (24/13) = (24/4) = 6

6 is the amount of blue balls there are in the bag.

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Hey!

1/4 are green.

1/8 are blue.

1/12 are yellow.

Solution:

= 1/4 + 1/8 + 1/12

= 6/24 + 3/24 + 2/24

= 11/24

1 - 11/24 = 13/24

13/24 are white.

13x/24 = 26

13x/24 * 24 = 26 * 24

13x = 624

13x/13 = 624/13

x = 48

To find how many blue balls just divide by 8.

48/8 = 6

There are 6 blue balls.

Hope This Helped! Good Luck!

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

step-by-step explanation: