The probability of Mark pulling out a pink marble is approximately 0.083 or 8.3%.
To find the probability of pulling out a pink marble, we need to know the total number of marbles Mark has after making the changes described in the problem.
Mark started with a total of 100 + 34 + 98 = 232 marbles.
After pulling out 6 blue, 3 green, and 1 red marble, he has 100 - 6 = 94 blue marbles, 34 - 1 = 33 red marbles, and 98 - 3 = 95 green marbles left. This means he has a total of 94 + 33 + 95 = 222 marbles.
When he adds 20 pink marbles, his total number of marbles becomes 222 + 20 = 242.
So the probability of pulling out a pink marble is:
Number of pink marbles / Total number of marbles = 20/242 ≈ 0.083
Therefore, the probability of Mark pulling out a pink marble is approximately 0.083 or 8.3%.
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Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.
Step-by-step explanation:
Cost of Pizza at Pizza by Alfredo = $3
Cost of pizza at Alfredo's pizza cafe = $5
Total amount spent = $66
Let,
Pizzas bought from Pizza by Alfredo = x
Pizzas bought from Alfredo's Pizza Cafe = y
According to given statement;
3x+5y=66 Eqn 1
5y = 3x+24 Eqn 2
Putting value of 5y from Eqn 2 in Eqn 1;
Dividing both sides by 6
Putting x=7 in Eqn 2
Dividing both sides by 5
Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.
Keywords: linear equation, substitution method
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What is the least common denominator between 5/6, 2/9 1/12, 3/8 5/9, 2/15
LCD is least common denominator, also called least common multiple LCM
5/6, 2/9 LCD is 18
1/12, 3/8 LCD is 24
5/9, 2/15 LCD is 45
18, 24, and 45 are the least common multiples of the denominators for their own pair.
Select the graph of the solution. Click until the correct graph appears. |x| = 1
Answer:
the one with no arrows and only two dots
Step-by-step explanation: