Answer:
- Total value in cents = 51p+5n
- Total value in dollars = (51p+5n)/100
The answer varies depending if your teacher wants the answer in cents only, or in dollars only.
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Explanation:
- p = number of pennies
- n = number of nickels
- 2p = number of quarters, since we have twice as many quarters compared to pennies.
Based on that, we know,
- p = number of cents from the pennies (1 penny = 1 cent)
- 5n = number of cents from the nickels (5 nickels = 5 cents, multiply both sides by n)
- 25(2p) = 50p = number of cents from the quarters
and ultimately
p+5n+50p = 51p+5n
represents the total value of all the coins, and this value is in cents. We would divide by 100 to convert from cents to dollars. So we can say that 51p+5n cents = (51p+5n)/100 dollars
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As an example, let's say
So we have
- p = 4 pennies
- n = 5 nickels
- q = 2p = 2*4 = 8 quarters
This would mean we have
- p = 4 cents from the pennies only
- 5n = 5*5 = 25 cents from the nickels only
- 25q = 25*8 = 200 cents from the quarters only
Overall we have p+5n+25q = 4+25+200 = 229 cents which converts to 229/100 = $2.29
We can also say 51p+5n = 51*4+5*5 = 204+25 = 229 which is a slight shortcut to get the same result (that result being in cents).
Use the substitution method
-x+4x when x=-2
-(-2)+4(-2) Positive number * ( multiplying)Negative number=Negative number
2-8
=-6
Answer is -6
Answer with explanation:
Mean of the sample(m) = $ 5474
Standard deviation of the sample (S)=764
Number of observation(n)=36
So, Mean Monthly Expenses of Population =$ 5405.76, which is 90% upper confidence bound for the company's mean monthly expenses.
Answer:
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Step-by-step explanation:
Answer:
.
Step-by-step explanation:
We have been given an expression and we are asked to simplify our given expression.
Using order of operations (PEMDAS) we will remove parenthesis first.
After removing parenthesis our expression will be,
After canceling out 1 with -1 we will get,
So our given expression simplifies to .
Let us write our expression in standard form. Since our expression is a polynomial and to write any polynomial in standard form, we write each term in order of degree, from highest to lowest, left to right.
Upon putting our polynomial into standard form we will get,
Therefore, after simplifying and putting our given expression in standard form we get our final expression as: .