Answer:
Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.
Answer:
3/4 and 6/8
Step-by-step explanation:
The ruler is split into 8 parts, and this point is 6/8 of the ruler, if you simplify that fraction you get 3/4.
2(4x-1) + 3(3-2x)=0
distribute
8x-2+9-6x=0
add like terms
2x+7=0
subtract 7 from both sides
2x= -7
divide both sides by 2
x=-7/2
Volume of a cylinder is

, where r is the radius and h is the height.
This comes from the area of a circle being

. A cylinder is the area of the base circle multiplied by its height.
Using this formula, the volume of the given cylinder is