# Mathematics

Essay by amcasse1 September 2014

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SOLUTION SET (MATH I)

A.

B.

5719x to be divisible by 2, 3, and 6 must follow the divisibility rule for 2, 3, and 6.

Divisibility rule for 2: last digit must be an even numbers (0, 2, 4, 6, 8)

Divisibility rule for 3: sum of all digits must be divisible by 3.

Divisibility rule for 6: must follow the divisibility rule for 2 and 3.

Applying the divisibility rule for 6, we now get the sum of all digits to check if this number is divisible by 3.

5+7+1+9+x = 22+x, since we need an even number for the last digit so that it can be divisible by 2, x = 2 so that

22 + 2 = 24, 24 is divisible by 3.

A.

B.

C.

A.

B.

C.

D.

let x = original length of the rope

let x = total no. of people in Rocky's party

let x = original number of packages before the 1st delivery

k = 0.02,

2:3, ratio of men to women. Let k = constant which we will use as multiplier to the ratio

6:5:4 - ratio of apples, banana, & peaches respectively. Let k = constant which we will use as multiplier to the ratio

weight of apple = (6)(15) = 90, weight of banana = (5)(15) = 75, weight of peaches = (4)(15) = 60

weight of apple -...