Tristan has a box of toys, four out of 100 toys are red, 0.52 of the toys are green, and 0.1 of the toys are blue. Write the dec
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Answer:
The probability of spinning an even number and flipping heads is 1/4
Step-by-step explanation:
You spin the spinner and flip a coin.
A spinner that has 1 of each number, 1-6
Total events =12
(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)
We are supposed to find probability of spinning an even number and flipping heads
Favorable events : (2,H),(4,H)(6,H) = 3
Total events = 12
The probability of spinning an even number and flipping heads =
Hence The probability of spinning an even number and flipping heads is 1/4
Answer:
21
Step-by-step explanation:
Let x represent the number of dimes and y represent the number of nickels. The total number of coins is 37; this gives us the equation
x+y = 37
Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05. The total amount of money is given by
0.10x+0.05y = 2.65
This gives us the system
To solve this, we will use substitution. We will isolate x in the first equation:
x+y=37
Subtract y from each side:
x+y-y = 37-y
x = 37-y
Substitute this into the second equation:
0.10(37-y)+0.05y = 2.65
Using the distributive property,
0.10(37)-0.10(y)+0.05y = 2.65
3.70-0.10y+0.05y = 2.65
Combining like terms,
3.70-0.05y = 2.65
Subtract 3.70 from each side,
3.70-0.05y-3.70 = 2.65-3.70
-0.05y = -1.05
Divide both sides by -0.05:
-0.05y/-0.05 = -1.05/-0.05
y = 21
There were 21 nickels.