Answer:
1, 2, 4
Step-by-step explanation:
- 4 1/12·2 2/3 = 49/12·11/4 = 49/12·33/12 = 1617/144 = 11 11/48 Good
- 2 1/5·6 1/4 = 11/5·25/4 = 44/20·125/20 = 5500/400 = 13 3/4 Good
- 1 1/2·3 1/5 = 3/2·16/5 = 15/10·32/10 = 480/100 = 4.8 Doesn't Work
- 3/4·8 1/5 = 3/4·41/5 = 15/20·164/20 = 2460/400 = 6 3/20 Good
- 5 1/2·5 = 11/2·5 = 55/2 = 27 1/2 Doesn't Work
(Note: Division of big numbers should be done by simplification, although not shown here.)
Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Answer:
1 / 10 (1 : 10) (10%) - your teacher has probably given you some idea as to the formatting of how you should write probability [so 3 different ways are written here], but I suspect they expect you to write it as 1 / 10
Step-by-step explanation:
only 1 out of all of these 10 trials is a "success" (aka what we are looking for)
we know that 7 matches the criteria of all years seeing a groundhog, and that all other options (1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10) do not meet this criteria.
so, the experimental probability** is 1 / 10 (or 1 : 10) (1 / 10 = 10%)
**: experimental probability is about how many times something happens in the experiment--not theoretically. it means that if his life was destined to be 1 of the 10, the probability of his experience matching the criteria is 1 / 10
experimental probability can be thought of as
successes / possible outcomes
{I hope this was helpful!! }
Answer:
the length of an arc = 10π ft.
Step-by-step explanation:
The length of an arc with angle Θ and radius r will be equal r * Θ
note the angle must be in radian
Given: Θ = 180° = π and radius = r = 10 ft.
<u>So, the length of the arc = π * 10 = 10π ft.</u>
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.
_____
<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.
