Sydney and Riley work at a dry cleaners ironing shirts. Sydney can iron 15 shirts per hour, and Riley can iron 10 shirts per hour. Riley worked 5 more hours than Sydney and they ironed 150 shirts between them. Determine the number of hours Sydney worked and the number of hours Riley worked.

Sydney worked for 4 hours and Riley worked for 9.

Step-by-step explanation:

We should add the amount of shirts that both Riley and Sydney per hour as the variables, and since we know that Riley worked 5 more hours than Sydney we can add the amount of shirts that Riley can do per hour (10) times the extra amounts of hours that the problems says she does (5).

This is the equation:

15x+10x+50=150

Solving it we get:

25x+50=150

25x=100

x=4.

So, this shows that Sydney worked for 4 hours ironing shirts and since Riley worked for 5 more hours than Sydney, 4+5=9. Riley worked for 9 total hours.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).