Answer:
10 red marbles
Step-by-step explanation:
Total= 45 marbles
Probability of red= 2/9
Number of red= 45*2/9= 10
Answer:
The decay rate is 5%.
Step-by-step explanation:
Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function
........... (1)
Comparing this equation with the original equation given as
............ (2) we get,
⇒
⇒ r = 5%.
Therefore, the decay rate is 5%. (Answer)
Answer:
7.5 hours
Step-by-step explanation:
Constance's car has a 12-gallon gas tank.
She can travel 25 miles on one gallon of gas, so she can travel
miles using all gas from the tank.
Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.
So, Constance can drive for
hours.
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
12(x-3) + 18 = 4(2x-3)
12x-36+18 = 8x-12
12x -18 = 8x-12
12x-8x = -12 + 18
4x = 6
x = 6/4 or 3/2
one solution A