On Tuesday Bob, Larry, and Joe studied for their Algebra test. Bob studied for 12 minutes less than Larry, and Joe studied twice as long
as Bob. How many minutes did each student study if they studied a
total of 96 minutes?

Bob- 33, Larry- 21, Joe- 42

Step-by-step explanation:

Set up the equation with x=the amount of time Larry spent studying. x+(x-12)+2(x-12)=96. Distribute and combine: 4x-36=96. Add 36 to both sides (4x=132), and then divide by 4 (x=33). Larry studied 33 minutes, subtract 12 to find Bob, and then double Bob's time to get Joe's study time.

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x