Final answer:
To find Hashim's quiz score when the ratio of scores is 5:6:9 and the mean is 360, a value of x was determined from the equation (5x + 6x + 9x) / 3 = 360.
Solving this, x equals 54, and thus Hashim's score is 5 times 54, which is 270.
Step-by-step explanation:
The question is asked how to calculate Hashim's score from a quiz where the ratio of Hashim, Tara, and Marcus's scores is 5:6:9, and the mean of their scores is 360.
To solve this, we can begin by setting up the ratio as an equation where Hashim's score is 5x, Tara's score is 6x, and Marcus's score is 9x.
The mean is calculated by adding all their scores and dividing that sum by the number of participants which is 3 in this case.
We set up the mean equation: (5x + 6x + 9x) / 3 = 360.
Simplifying this, we have: 20x / 3 = 360.
By multiplying both sides by 3, we get 20x = 1080.
Now, dividing both sides by 20, we find that x = 54.
Now, to find Hashim's score, we can multiply 5 by the value of x:
Hashim's score = 5 * 54
= 270.
Therefore, Hashim's score in the quiz was 270.