There are 47 dimes and 23 quarters.
Step-by-step explanation:
Total amount = $10.45 = 10.45*100 = 1045 cents
Total coins = 70
1 dime = 10 cents
1 quarter = 25 cents
Let,
Dimes = x
Quarters = y
According to given statement;
x+y=70 Eqn 1
10x+25y=1045 Eqn 2
Multiplying Eqn 1 by 10;
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 15;
Putting y=23 in Eqn 1
There are 47 dimes and 23 quarters.
Keywords: linear equations, subtraction
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My answer is that you can multiply many different ways to git the answers and it is really easy for you if you round your factors that you are multiply.
D pass through. The taxes “pass through” to the owners
Answer: The answer is A 1/16
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715
