Answer:
J: 2/45
Step-by-step explanation:
You multiply the probabilities together then simplify
2/15 x 5/15
to get 10/225
simplify to get your answer of 2/45
4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
60x = 45(x+1) + x(x+1)
60x = 45x + 45 + x^2 + x
x^2 - 14x + 45 = 0
(x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.
Answer:
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
Step-by-step explanation:
The concept of adding rational and irrational numbers states that the result will always be irrational.
Take for instance the addition of 4.5 and 3.142857
4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.
The addition of these two numbers gives 7.642857
7.642857 is an irrational number.
Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.
Hence, Silvie is incorrect.