Answer:
Let M represents the Male and F represents the Female.
As per the statement:
There are 6 times as many males as females on the maths course at university.
⇒ M = 6F
Total number of person on the maths course = M + F = 6F+ F = 7F
we have to find the fraction of the course are male;
Substitute the given values we have;
therefore, the fraction of the course are male is,
Answer: 410 possible points
To solve for the possible points in the course, use a proportion and cross multiply.
<h2>What is a proportion?</h2>
A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.
The fractions represent information you have, and one variable will represent what you are solving for.
<h2 /><h3>Given</h3>Your points = 361
Points to get an 'A' = your points + 8
'A' = 90% of possible points
<h3>Find the points needed for an 'A' at 90%</h3>Points to get an 'A' = your points + 8
= 361 + 8
= 369
<h3>State variables</h3>let <em>x</em> be the amount of possible points
<h3 /><h3>Write a proportion</h3>We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.
Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.
We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.
Simplify by multiplying.
Isolate the variable <em>x</em>.
Divide both sides by 90 to cancel out 90 on the left.
Divide.
Solved for <em>x</em>, representing the possible points.
∴ The possible points in the art course is 410.
Learn more about finding a missing number given percentage here: brainly.com/question/26535441
Answer: a) 8.779 years
b) 8.664 years
<u>Step-by-step explanation:</u>
a)
Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown
b)