Three friends went to the fair. michelle ate three hot dogs, one pretzel, and two snow cones. she spent $25. amanda ate two hot dogs, three pretzels, and three snow cones. she spent $30. lucas ate two hot dogs, two pretzels, and four snow cones. he spent $25. which system of equations matches the friends' night at the fair?
2x + y + 3z = 25
2x + 3y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
2x + 3y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
3x + 2y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
2x + 3y + 3z = 30
2x + 4y + 2z = 25

b.

Step-by-step explanation:

We are given that three friends went to fair

Let cost of hot dog=x

Cost of pretzel=y

Cost of snow cone=z

Michelle ate 3 hot dog,one pretzel and two snow cones and spent $25.

Therefore, according to question the equation is

Step-by-step explanation:

We are given that three friends went to fair

Let cost of hot dog=x

Cost of pretzel=y

Cost of snow cone=z

Michelle ate 3 hot dog,one pretzel and two snow cones and spent $25.

Therefore, according to question the equation is

Amanda ate two hot dog, three pretzel and three snow cones and spent $30Therefore,the equation is [tex]2x+3y+3z=$30" />

Lucas ate two hot dogs,two pretzel and four snow cones and spent $25.

Therefore, the equation is

Hence, option b is true.

(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

step-by-step explanation: