Hey There!
Here is your answer:
First write the equation down:
-3 4/5 ÷ -3 1/6
Then put the mixed fractions into whole numbers:
-3 4/5= 5×-3=-15+4=-11= -11/5
&
-3 1/6= 6×-3=-18+1=-17= -17/6
Now right the new problem:
-11/5×6/-17
Now multiply:
-11×6=-66
5×-17=-85
Which means -66/-85 is your answer!
Hope this helps!
Remark
It is easier in this case to state the irrational ones and then talk about the rationals.
sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.
The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.
All the others are rational. The one you might have trouble with is the first one.
0.12 repeating is actually found by letting x = 0.12121212121212121212...Then
100 x = 12.121212121212121212 ...
<u> x = 0.121212121212121212..</u>. Subtract
99 x = 12
x = 12/99
So the mixed fraction you get is 3 12/99 which is 309/99
When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165. The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.
Choice 2 is rational because 9 and 25 are perfect squares. sqrt(9) = 3
Sqrt(25) = 5.
3*5 = 15.
Answer
One Two are four are all rational.
Take the relative frequencies of each branch and multiply them together.
0.35 * 0.55 = 0.1925 or B
9x-4=5x-6
+4 +4
9x=5x-2
-5x-5x
4x=-2
divide by 2 on both sides
x=-2 or
x= 4/9
Answer:
B. lie on different lines
Step-by-step explanation:
