Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the two larger numbers.

6, 8, 10, 12

Step-by-step explanation:

Given that x is the number, the 4 numbers would be

x, x + 2, x + 4, x + 6

so the two smallest numbers would be x and x + 2

and the two largest numbers would be x+4 and x+6

now set up an equation

x(x+2) = (x+4)(x+6) - 72

now FOIL

x^2 + 2x = x^2 + 6x + 4x + 24 - 72

combine like terms

x^2 + 2x = x^2 + 10x -48

subtract x^2 from both sides

2x = 10x - 48

subtract 2x from both sides

0 = 8x - 48

add 48 to both sides

48 = 8x

divide both sides by 8

6 = x

so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to

6, 8, 10, 12

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.