The ratio of males to females at
1 answer:
Answer:
<h3><u>48 people</u> is the right answer.</h3>Step-by-step explanation:
Let the number of male and female be 3x and 5x
There are twelve more females than males
According to the above problem,
Therefore, the numbers of male is
and number of female is
Hence, total number of people are
There are <u>48 people</u> in the party.
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Answer:
13k
Step-by-step explanation:
Given:
Finding the equivalent expression.
We know the rule of addition is that adding two positive integers will give positive result or sum.
Now, lets find the equivalent expression of .
∴
Hence, the required equivalent expression is 13k.
Answer:
Summation notation is:
If you prefer it a little more simplified:
Step-by-step explanation:
First my favorite part, finding a pattern between the consecutive terms.
This is an arithmetic series because the terms are going up by 5 each time.
So arithmetic sequence, think linear equations:
x | y
1 -9
2 -4
3 1
4 6
..................
n 66
We are going to have to find that n but will will eventually...
The equation for a line in point slope form is where
is a point on the line and m is the slope.
We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).
I'm going to use the first point (1,-9).
So the equation in point slope form is
Subtract 9 on both sides:
Now we need to know how many terms we are adding so what is x if y=66.
Add 9 on both sides:
Divide both sides by 5:
Add 1 on both sides:
We have 16 terms in this sequence where the 16th term is 66.
Summation notation is:
You could simplify the 5(x-1)-9.
Distribute: 5x-5-9
Add like terms: 5x-14