Prove that the product of any even number and any integer is always even

The product of any even number and any integer is always even is proved

Solution:

Proof that any integer multiplied by 2 is even comes from the simple fact that every even number has 2 as a factor, the product of an even number with any even or odd number, will also have 2 as a factor, and thus also be even.

Any even number can be expressed as ,

where k>= 1 and let ‘a’ be any integer.

Then the result of any even number multiplied by any integer is

which is divisible by 2 yielding no remainder, and hence by definition an even number.

Hence any integer multiplied by an even number will always be an even number.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75