Let x = the number of dimes
Let y = the number of pennies.
There are 8 coins, therefore
x + y = 8 (1)
The coins are worth 17 cents, therefore
10x + y = 17 (2)
Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1
From (1), obtain
y = 8 -x = 8 - 1 = 7
Answer: 1 dime, 7 pennies.
Answer:
The probability that the card will be a heart or a face card is P=0.4231.
Step-by-step explanation:
We have a standard deck of 52 cards.
In this deck, we have 13 cards that are a heart.
We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.
To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.
We can express that as:
P = .50c - 75
You need work your cost into your total profit, $75, which was spent. Since that money was lost, we can say it is -$75. You make 50¢ per cup of hot choclate, which is $0.50. Putting that all together, you can make the function P = .50c - 75.
The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately. Example: 3 × (2 + 4) = 3×2 + 3×4. So the "3" can be "distributed" across the "2+4" into 3 times 2 and 3 times 4.