Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Answer: 6 more times
Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each
Then you subtract that 40 from 88 and end up with 48
Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with
6 walks
Can i see the picture of the question in order to answer that
Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.
Given that here π/2 < Ф < π, the angle is in the second quadrant.
In the second quadrant the signs are:
sine positive
cosine negative
tangent negative.
Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.
Then,
sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3