<span>20x + 12y = 1040
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation.
20x + 12y + -12y = 1040 + -12y
Combine like terms: 12y + -12y = 0
20x + 0 = 1040 + -12y
20x = 1040 + -12y
Divide each side by '20'.
x = 52 + -0.6y
thats the first part
then we have
</span>25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
Combine like terms:
16y + -16y = 0
25x + 0 = 1350 + -16y
25x = 1350 + -16y
Divide each side by '25'.
x = 54 + -0.64y
(a)
since 13 is prime.
(b)
, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so
.
(c)
; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with
.
(d)
; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so
.
Answer:
- 1/729
Step-by-step explanation:
math
Answer:

Step-by-step explanation:
Since opposite and adjacent is given, we will use tan as trigonometric ratio.
Hence,
opposite = x , adjacent = 14 and
= 28
So,

tan 28 = x / 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
At= -5(1/2)
at= -2.5
v= u + at
v= 2 + (-2.5)
v= -0.5