6 1/2% as a decimal is 6.05. 6 is a whole number, and 1/2% is 0.05 in decimal form.
Answer:
We start with the equation:
A: 3*(x + 2) = 18
And we want to construct equation B:
B: X + 2 = 18
where I suppose that X is different than x.
Because in both equations the right side is the same thing, then the left side also should be the same thing, this means that:
3*(x + 2) = X + 2
Now we can isolate the variable x.
(x + 2) = (X + 2)/3
x = (X + 2)/3 - 2
Then we need to replace x by (X + 2)/3 - 2 in equation A, and we will get equation B.
Let's do it:
A: 3*(x + 2) = 18
Now we can replace x by = (X + 2)/3 - 2
3*( (X + 2)/3 - 2 + 2) = 18
3*( (X + 2)/3 ) = 18
3*(X + 2)/3 = 18
(X + 2) = 18
Which is equation B.
Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
Answer:
The time it will take Kalin will be 2h 33m
Step-by-step explanation:
First we will transform the numbers to work more comfortable
d = distance
v = velocity
v = 3 2/3 miles per hour = 3.33 mi/h
d = 4 1/4 milles = 4.25 mi
As the time it takes to go to the beach and back asks us, we have to do the distance 2 times
d = 4.25 mi * 2
d = 8.5 mi
To calculate the time it takes, we simply have to divide the distance by the velocity
t = d/v
t = 8.5 (mi) / 3.33(mi/h)
t = 2.55h
if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60
(55/100)*60 = 33
t = 2h 33m
The time it will take Kalin will be 2h 33m
