Answer:
x = -1/24
Step-by-step explanation:
8 - 1/3x = 16
8 × 3x - 1/3x = 16
24x - 1/3x = 16
24x - 1 = 16 × 3x
24x - 1 = 48x
1 - 24x = - 48x
1 = 24x - 48x
1 = - 24x
-1/24 = x
x = -1/24
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
The answer is 5/26 because there are 5 vowels and 26 letters in the alphabet
There are a total of 5+6+4+3+2=20 M&Ms in the bag. Since there are 6 yellow M&Ms in the bag, there's a 6/20 probability that the first M&M will be yellow. Then, there are 5 more yellow M&Ms and 19 more total M&Ms in the bag, so there is a 5/19 chance the next M&M will be yellow. Finally, there are 4 more yellow M&Ms in the bag and 18 total M&Ms, so there is a 4/18 chance the last M&M will be yellow.
Multiplying these together, we have:
(6*5*4)/(20*19*18)
This simplifies to:
1/57
Therefore, there is a 1/57 probability that all M&Ms will be yellow.
The correct answer that would best complete the given statement above would be the term "solve". So here is the complete statement. <span>The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You solve the equation. Hope this answer helps. Have a great day!</span>
