There are 3 possibilities when choosing 1 of 3 books. There are 8 possibilities when choosing 1 of 8 books. Events are independent of each other so "and" would be to multiply. 3 × 8 = 24 possible combinations
You can also see by writing out the possibilities.. Say names of books are {A,B,C} and names of CD's are {1,2,3,4,5,6,7,8} A1, A2, A3, A4, A5, A6, A7, A8 B1, B2, B3, B4, B5, B6, B7, B8 C1, C2, C3, C4, C5, C6, C7, C8
take any two measurements and add them together if they are larger than the 3rd measurement it will work and all you have to do is do that to each measurement
Answer: The width is: " 10 in. " . ________________________________________________ Explanation: ________________________________________________ Consider a "rectangular prism". ________________________________________________ The formula for the Volume of a rectangular prism: ________________________________________________
V = L * w * h ; _________________________________________________ in which:
V = volume = 120 in.³ ; L = length = 8 in. w = width = ?? h = height = 1.5 in. ____________________________________________ We want to solve for "w" (width) ; ____________________________________________ Given the formula: ____________________________________________
V = L * w * h ; ____________________________________________ Rewrite the formula; by dividing EACH SIDE of the equation by "(L * h)" ; to isolate "w" on one side of the equation; and to solve for "w" ; _____________________________________________ → V / (L * h) = ( L * w * h) / (L * h) ;
to get: _________________________________ → V / (L * h) = w ;
↔ w = V / (L * h) ; _________________________________ Plug in our given values for "V", "L"; and "h"; to solve for "w" ; ____________________________________________________ → w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in. ____________________________________________________
