When a fraction corresponds to a repeating decimal, it's denominator is 9 or 99.
For example, 4/11 = 36/99 = 0.36 with bar notation over 36.
Example #2: 2/3 = 6/9 = 0.666....
or also written as 0.6 with bar notation over 6.
You know a fraction responds to a terminating decimal because it can be simplified to a terminating decimal.
Example: 2/4 = 0.5
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
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<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Answer:
0.2986 (29.86%)
Step-by-step explanation:
cup volume = πr²H = 3.14 x 4² x 7 = 351.68 cm³
after 3 minutes (70 /2) x 3 =105 cm³
the percent of the cup that is filled 105/351.68 = 0.2986 (29.86%)
Answer:
9/9
Step-by-step explanation:
I took the quiz and I got a 100
