Answer:
75%
Step-by-step explanation:
Answer: 58/9
Step-by-step explanation:
The number 2.71828182846... is irrational since the decimal portion "71828182846" goes on forever without any pattern. We cannot write this as a fraction or ratio of whole numbers.
Answer:
-1 and -2, or 9 and 10
Step-by-step explanation:
If x is the smaller integer:
x (x + 1) = 14 + 4 (x + x + 1)
x² + x = 14 + 4 (2x + 1)
x² + x = 14 + 8x + 4
x² − 7x − 18 = 0
Factor using AC method:
(x − 9) (x + 2) = 0
x = -2 or 9
x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.
-1 and -2:
(-2) (-1) = 14 + 4 (-2 + -1)
2 = 14 + 4 (-3)
2 = 2
9 and 10:
(9) (10) = 14 + 4 (9 + 10)
90 = 14 + 4 (19)
90 = 90
Both solutions work.
This is a problem in direct variation. For every five minutes that goes by, Liz utters 225 words. The general form of an equation of direct variation is
w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.
Find k by dividing 225 words by 5 minutes, to find the number of words per minute.
Next: How many minutes are there between 10:30 a.m. and 11:15 a.m.? Calculate w=kx, using your constant of proportionality, k, and that number of minutes.
