So you have to divided 84 divided by 3 to figure out how much kids in each class. when you divide you get 28. So 28 kids in each room.....hope I helped.
Answer:
x = 5
Step-by-step explanation:
Using the tangent ratio and the exact value
tan60° = , then
tan60° = = = ( multiply both sides by 5 to clear the fraction )
x = 5
Answer:
Harper is 17 and Cadence is 44.
Step-by-step explanation:
First, we can set up an equation to displays the sum of both ages.
Let x = Harper's age and y = Cadence's age
x+y=61
8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables
The equation to represent 8 years ago is: x+y=45
Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)
y=4x
We can substitute this back into the equation we had for the ages 8 years ago.
x+(4x) = 45
5x=45
x=9
Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.
We can insert this into the original equation to determine Cadence's age.
17+y=61
y=44
Thus, Cadence is currently 44 years old
The laws of logarithms are comparable to the laws of exponents. By the laws of logarithms, log(a/b) = log(a) - log(b), as long as the bases between all the terms are consistent. Therefore, in this case, log_3 (d/12) = log_3 (d) - log_3 (12). This is the third of the choices.