1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?

Least no of packs = 120

Step-by-step explanation:

Given that,

Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.

We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.

It means we need to find the LCM of 8,12,20

Prime factorisation of 8 = 2×2×2

Prime factorisation of 12 = 2×3×2

Prime factorisation of 20=2×5×2

LCM = 120

Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.