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Solve each system by the substitution method.
Section 7.1#54X + 3y = 2-x + y = 1
Section 7.2
#64 Book and magazines. At Gwen's garage sale, all books were one price, and all magazines another price. Harriet bought 4 books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
Section 8.2
Write each union or intersection of intervals as a single interval if possible#62
Section 8.3
#68: Allocating resources. A furniture maker has a shop that can only employ 12 workers for 40 hours per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week.
two sessions of swimming lessons were held at a pool. in the first session 40 students attended. of these 40 students
the area t of a triangle with a height of 11 units and a base of length b units is given by the following formula
In the problem below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.
Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?
Linear equations and inequalities
The record for the fastest mile run by a person has been decreasing over time. Back around 1850, when record times were first recorded, the fastest mile time recorded was about 5 minutes. By around 1950, the fastest mile time recorded was about 4 ..
Write the polynomial as factors.
Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price.Harriet bought four books and three magazines for $1.45,and June bought two books and five magazines for $1.25.
Solve and check the following linear equations:
explain the five-steps for solving rational equations. can any of these steps be eliminated? can the order of these
Let G be a finite group with the property that all of its proper subgroups are Abelian. Let N be a proper normal subgroup of G. Show that either N is contained in the center of G or else G has a normal subgroup H which is a maximal subgroup o..
A jet travels 1884 mi against the wind in 3 hours and 2274 mi with the wind in the same amount of time. What is the rate of the het in still air and what is the rate of the wind?
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