Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
2 answers:
Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as
⇒
Hence, to make a profit of at least $500 she must sell at least 12 necklaces
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Answer:
(a) The number of different lock combinations is 216,000.
(b) The probability of getting the correct combination in the first try is .
Step-by-step explanation:
The lock has three-cylinder combinations with 60 numbers on each cylinder.
The procedure of the opening lock is to turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder.
The numbers can be repeated.
(a)
There are three cylinder combinations on the lock, each with 60 numbers.
It is provided that repetitions are allowed.
Then each cylinder can take any of the 60 numbers.
So there are 60 options for the first cylinder.
There are 60 options for the second cylinder.
And there are 60 options for the third cylinder.
So the total number of possible combinations is:
Total number of combinations = 60 × 60 × 60 = 216000.
Thus, the number of different lock combinations is 216,000.
(b)
The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.
Each cylinder has 60 numbers.
This implies that there are 60 possible ways to get a correct number for the first cylinder.
The probability of getting the correct number for the first cylinder is:
P (Number on 1st cylinder is correct) = .
Similarly for the second cylinder the probability of getting the correct number is:
P (Number on 2nd cylinder is correct) = .
And similarly for the third cylinder the probability of getting the correct number is:
P (Number on 3rd cylinder is correct) = .
So the probability of getting the correct combination in the first try is:
P (Correct combination in the 1st try) = .
Thus, the probability of getting the correct combination in the first try is .