Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
−2/3a + 5/6a + 1/6
(−2/3a + 5/6a) + 1/6 = (−4/6a + 5/6a) + 1/6 =
(1/6a) + 1/6 = 1/6a + 1/6
So the answer would be " 1/6a + 1/6"? Am I right?!!
Yes, you are correct! The simplified and equivalent expression is indeed 1/6a + 1/6. Well done!
You roll a fair 6-sided die.
What is P(roll greater than 4)?
If necessary, round your answer to 2 decimal places.
To find the probability of rolling greater than 4 on a fair 6-sided die, we need to determine the number of favorable outcomes (rolls greater than 4) and divide it by the total number of possible outcomes (rolls of the die).
The rolls greater than 4 are 5 and 6, so there are 2 favorable outcomes.
The total number of possible outcomes is 6 (since there are 6 sides to the die).
Therefore, P(roll greater than 4) = favorable outcomes / total outcomes = 2/6 = 1/3.
Rounding to 2 decimal places, the probability is approximately 0.33.
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.
What is P (call a person from school)?
If necessary, round your answer to 2 decimal places.
To find the probability of Jake calling a person from school, we need to determine the number of favorable outcomes (people from school) and divide it by the total number of possible outcomes (all contacts).
The number of favorable outcomes is 16 (people from school).
The total number of possible outcomes is 30 (all contacts).
Therefore, P(call a person from school) = favorable outcomes / total outcomes = 16/30 = 8/15.
Rounding to 2 decimal places, the probability is approximately 0.53.
You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.
What is P(draw a blue or red marble)?
If necessary, round your answer to 2 decimal places.
To find the probability of drawing a blue or red marble, we need to determine the number of favorable outcomes (number of blue + number of red marbles) and divide it by the total number of possible outcomes (total number of marbles).
The number of blue marbles is 8.
The number of red marbles is also 8.
The total number of possible outcomes is the sum of blue, green, and red marbles, which is 8 + 5 + 8 = 21.
Therefore, P(draw a blue or red marble) = (number of blue marbles + number of red marbles) / total number of marbles = (8 + 8) / 21
Simplifying, P(draw a blue or red marble) = 16/21
Rounding to 2 decimal places, the probability is approximately 0.76.
You spin the spinner shown below once. The spinner has 4 equal sectors colored pink, purple, blue, and green.
What is P(green)?
If necessary, round your answer to 2 decimal places.