Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. he realizes he doesn't have enough cash and instead takes only 4 of each, which costs only $5. what is the price of each pen and pencil? a. pen, $0.75; pencil, $0.50 b. pen, $0.50; pencil, $0.25 c. pen, $1.00; pencil, $0.25 d. pen, $0.80; pencil, $0.35 e. pen, $1.20; pencil, $0.25

Will mark brainliest with 20 points! the table shows how far object 1 traveled as a function of time. *time (seconds) - 2 4 6 8 *distance traveled (feet) - 18 36 54 72 the equation shows how far object 2 traveled in feet as a function of time in minutes. *f(x) = 10x which object traveled at a faster speed? justify your response.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The mean of 10 values is 19. if further 5 values areincluded the mean becomes 20. what is the meanthese five additional values? a) 10b) 15c) 11d) 22