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andriy [413]
3 years ago
12

The school cafeteria serves tacos every 12th day and chicken every 9th day. If tacos and chicken are both on today's menu, how m

any days will it be before they are both on the menu again?
Mathematics
2 answers:
Marat540 [252]3 years ago
7 0

Answer:

36 days

Step-by-step explanation:

Just a guess but the LCM of 9 and 12 is 36

tensa zangetsu [6.8K]3 years ago
4 0

Answer:

36 days

Step-by-step explanation:

The goal is to list the multiples of both 12 and 9 to determine when they first coincide:

(a) 12, 24, 36, 48, 60, 72, 84, 96

(b) 9, 18, 27, 36, 45, 54, 63, 72, 81

The first multiple both numbers have in common is 36. Therefore, it will be 36 days before tacos and chicken are both on the menu again.

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Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

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first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

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since both distances are exactly the same we can equate them

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\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

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To put it more concretely,

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