The reason that 9.6 is rational is because it can be turned into a fraction.
The fraction is 48/5.
Rational numbers are numbers that can be turned into a fraction, while irrational numbers a those who cannot be turned into a fraction.
1. 45
write the consecutive numbers as x, x+1 and x+2 as its a sum 3x+3=138 so 3x+135 and x=45
2.$4
27-3=24, 6 candy bars for $24 dollars so $4 each
3. 6 hours
59-11 initial fee is $48 at a rate of $8 per hour, 48/8 is 6hours
4.52
29 is half of what he had once getting 6 new cards
so 58-6 52 giving the original number
5.27
using the same method as 1
6.21
odd numbers must be written as 2n+1,2n+3,2n+5
the sum 6n+9 =69
n=10
2n+1=21
7. 12
12-6 =6
6x2=12
8.$6
12-9=3
this is half the allowance so the is 3x2=6
9.57
291-6=285 is the number in all 5 buses total
285/5=57 students per bus
10.19
184-13= 171 dollars spent on all nine books
171/9=19 per book
<h3>Hello i hope you having a good day :) Question : Part a: Abe rented a bike at $36 for five days. If he rents the same bike for eight days, he has to pay a total rent of $48.</h3><h3>So we can set the fixed free of the renting that would be (f) and the dynamic free as (d) per the day then we have F + 5d = 36 F + 8d = 48 there for we have f = 16 and d = 4 so it would be y = 16 + 4x.</h3><h3>Hopefully this help you.</h3>
I assume you know about the dot product, and that for two vectors
and
, the angle between them
satisfies

Then the vectors are parallel if the angle between them is 0 or 180 degrees (0 or pi radians), which would make
or
, respectively.
Part A)



Then the angle between
is such that

so these vectors are parallel ("antiparallel", more specifically, which means they are parallel but point in opposite directions).
Part B) involves the same computations:

has the same components but differing by sign and order, as
; its magnitude remains the same, though:



which is neither 0 nor pi, which means these vectors are not parallel.