13r+23r=-2-1
36r=-3
r=-3/36
r=-1/12
Any irrational number produces an irrational number when added to 3/4.
This is because 3/4 is rational (it can be represented as a ratio of two integers). You can get an irrational number only when you add rational to irrational (because rational to rational produces a rational sum).
Answer:
see below
Step-by-step explanation:
amount of water w
l liter of pure alcohol = 100% alcohol
solution is 45 % percent alcohol
total amount of fluid is w+l
(w+l)( .45) = l*.100
Distribute
.45w + .45 l = 1l
.45 w = 1l - .45l
.45 w = .55l
w = .55l / .45
w =11/9 l
Answer:
9. x=102
10. x=56
11. x=104
12. x=138
Step-by-step explanation:
9. In this problem, they are alternate exterior angles, meaning they are the same value. x=102
10. x is a corresponding angle, meaning they are the same. x=56
11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180. 180-76 = 104 x = 104
12. These two angles are verticle angles, meaning they are equivalent. x = 138
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:
And now, solving for x = 9 we have:
b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression
c) 
Using the same property we used in a) we have:
And now, solving for z = 16 we have:
