identify the fraction that is equivalent to 3/8.
A.15/32
B.12/32(I PICKED THIS)
C.12/24
D.9/32
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A video game has three villains who appear on screen at different intervals.one villain appears every 5 seconds,a second villain appears every 10 seconds,and a third villain appears every 16 seconds.how much time passes between occasions when all three villains appear at the same time?
A.800 SECONDS
B.240 SECONDS
C.160 SECONDS
D.80 SECONDS(I PICKED THIS)
both correct.
Cyberschooled? That's one of the questions for my test.
Correct answers! Good job!
To confirm your answers:
1. To find the fraction that is equivalent to 3/8, you chose option B, which is 12/32. This is correct. To verify, you can simplify 12/32 by dividing both the numerator and denominator by their greatest common factor, which is 4. Dividing 12 by 4 and 32 by 4 gives you the simplified fraction of 3/8.
2. For the video game scenario, you selected answer D, which is 80 seconds. This is also correct. To determine the time between occasions when all three villains appear at the same time, you need to find the least common multiple (LCM) of 5, 10, and 16. The LCM of these numbers is 80, so 80 seconds pass between those occasions when all three villains appear simultaneously.
Well done!
To identify the fraction that is equivalent to 3/8, you can simplify the fraction. Here's how you can do it:
1. Find the greatest common divisor (GCD) of the numerator (3) and the denominator (8). The GCD of 3 and 8 is 1.
2. Divide both the numerator and denominator of the fraction by the GCD. Dividing 3 by 1 gives you 3, and dividing 8 by 1 gives you 8.
So, 3/8 simplified is 3/8 itself, since there is no common factor other than 1. Therefore, the fraction equivalent to 3/8 is 3/8.
Now, let's analyze the second question:
To find the time that passes between occasions when all three villains appear at the same time, we need to find the least common multiple (LCM) of the intervals at which they appear. Here's how you can do it:
1. List the multiples of each interval until you find a common multiple.
- The multiples of 5: 5, 10, 15, 20, 25, ...
- The multiples of 10: 10, 20, 30, ...
- The multiples of 16: 16, 32, 48, ...
2. Identify the least common multiple (LCM) from the list of multiples. In this case, the LCM is 80.
Therefore, the time that passes between occasions when all three villains appear at the same time is 80 seconds. So, option D (80 seconds) is the correct answer.