A car has a tank that holds 12 3/8 gallons of gasoline. Mr. Brown fills his tank and drives along the highway until he runs out of gas. If his car averages 19 2/5 mpg, how far has he traveled?

1.) Write the following as an algebraic expression using x as the variable : the sum of a number and -8
2.) Write the following as an algebraic expression using x as the variable: Five more than the product of 7 and a number.
3.) Solve -3 ( -19+4 )/-5

The consumer priceindex for a new car in 1990 was 110.2, and in 1995 it was
136.5. If theprice of the car was $12,880 in 1990, what was theprice in 1995?
a. $15,362
b. $15,954
c. $16,060
d. $16,267

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $75. For one performance, 20 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1,900. What was theprice of each kind of ticket?

Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
1. ( x^-2 y^-1 / 2x^0 y^3 )^3
2. ( 24y^-1 / 72x^-3 y^4)^2

The consumer priceindex is a fixed-weight index. It compares theprice of a fixed bundle of goods in one year with theprice of the same bundle of goods in some base year. Calculate theprice of a bundle containing 200 units of good X, 150 units of good Y, and 100 units of good Z in the years 2011, 2012, and 2013. Then answer

Write algebraic expressions for the following unknown integers. See Example 4.
1) Three consecutive even integers
Translating Verbal Expressions into Algebraic Expressions
2) The rate, given that the distance is 200 feet and the time is x + 3 seconds
3) The perimeter of a rectangle, given that the length is x yards

Below is information on food items for the years 2000 and 2004. Use this table for problems 27 & 28. Show All Work
2000 2004
Item Price Quantity Price Quantity
Margarine (pound) $0.81 18 $0.89 27
Shor

Suppose that L has transcendence degree n over K and that L is algebraic over K(α1, . . . , αn). Show that α1, . . . , αn is a transcendence basis for L over K.
Might help:
Theorem - Definition: Let L be an extension of K, A a subset of L. The following are equivalent:
(1) A is a maximal algebraically