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Dave purchased 3 notebooks for a cost of $6.29 each before tax. He gave the cashier $20.00. If the sales tax on his purchase was 6%, how much money should Dave have received from the cashier, to the nearest penny?
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that 80% is pure fruit juice?
For one performance, 30 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was 1275 . What was the price of each kind of ticket?
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
The formula d = , where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
The volume of a cone is 218 cubic centimeters and the height of the cone is 13 centimeters. What is the radius of the cone to the nearest whole number?
a hotel wants to investigate a pattern for the number of guests arriving per hour on weekends. What distribution is used to find probability?
Please show work step by step. Find the derivatives of.
Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph both expressions to verify that both forms
the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
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