Answer:
y=74
z=106
x=74
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Answer:
Inside the jar there's 16 nickels and 35 quarters.
Step-by-step explanation:
Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So
nickels + quarters = 51
We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:
0.05*nickels + 0.25*quarters = 9.55
We now have two equations and two variables, so we can solve them as follows:
nickels + quarters = 51
0.05*nickels + 0.25*quarters = 9.55
From the first equation:
nickels = 51 - quarters
0.05*(51 - quarters) + 0.25*quarters = 9.55
2.55 - 0.05*quarters + 0.25*quarters = 9.55
0.2*quarters = 9.55 - 2.55
quarters = 7/0.2 = 35
nickels = 51 - 35 = 16
Inside the jar there's 16 nickels and 35 quarters.
- 2x + 3 > x + 24
First we must get all variables on the same side and constants on the opposite side. To do so we subtract x from the right and the left. Then subtract 3 from both sides as well.
- 2x - x > 24 - 3
Now we combine like terms:
- 3x > 21
We must isolate the variable x. In order to do so, we divide both sides by - 3. When you divide by a negative number, you must also flip the inequality so the greater than becomes a less than.
x < 21 / - 3
x < - 7 is your answer.
The probability is 62/(62+35+3)= 62/100=.62
