Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>
Answer:
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Step-by-step explanation:
<h3>
Answer:</h3>
D. 1/24
<h3>
Step-by-step explanation:</h3>
Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.
p(even) = 3/6 = 1/2
p(odd) = 3/6 = 1/2
p(5) = 1/6
Then the joint probability is ...
.. (1/2)·(1/2)·(1/6) = 1/24