Rosy waxes 2/3 of her car with 1/4 bottle of car wax. At this rate, what fraction of the bottle of car wax will Rosy use to wax her entire car?

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We see that Rosy uses 1/4 of the bottle to wax 2/3 of the car.

We need to 1/3 more to wax the entire car.

1/3 is half of 2/3.

We used 1/4 bottle for 2/3 of the car.

Therefore, we need half of 1/4 bottle for 1/3 more of the car.

1/4×1/2=1/8

We add this to the original 1/4 to see the total amount we used to wax the entire car.

1/4+1/8=3/8

Therefore, Rosy will use 3/8 of the bottle of car wax to wax her entire car.

3/8 bottle

Step-by-step explanation:

We can use ratios to solve

2/3 car         1 car  

=

1/4 bottle     x bottles

Using cross products

2/3x = 1/4

Multiply each side by 3/2

3/2 * 2/3 x = 3/2 * 1/4

x = 3/8

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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step-by-step explanation: