Problem 48
A steamboat went 8 miles upstream in 1 hour. The return trip took only 30 minutes. Assume that the speed of the current and the direction were constant during both parts of the trip. Find the speed of the boat in still water and the speed of the current.
Problem 49
Decide which variable to eliminate when using linear combinations to solve the system. Explain your thinking. $$\begin{aligned} &2 x+3 y=1\\\ &4 x-2 y=10 \end{aligned}$$
Problem 49
S. Parry PLANNING In Exercises 49 and 50 , you are planning a birthday party for your 8-year-old cousin. You can have the party at a pizza place for S8 per person plus \(\$ 30\) for favors and a small cake or at a taco place for \(\$ 12\) per person plus \(\$ 14\) for a large cake. How many children would you have to invite to the party for the cost to be the same for both places?
Problem 49
Solve the equation. $$ 21=7(w-2) $$
Problem 49
Evaluate the expression. \(2^{6}-31\)
Problem 49
Use the linear system below. $$\begin{array}{l} y=x+3 \\ y=2 x+3 \end{array}$$ Solve the linear system using substitution. What does the solution mean?
Problem 50
Evaluate the expression. \(5 \cdot 5+3 \cdot 3 \cdot 3\)
Problem 50
Decide which variable to eliminate when using linear combinations to solve the system. Explain your thinking. $$\begin{aligned} &5 y-3 x=7\\\ &x+3 y=7 \end{aligned}$$
Problem 50
S. Parry PLANNING In Exercises 49 and 50 , you are planning a birthday party for your 8-year-old cousin. You can have the party at a pizza place for S8 per person plus \(\$ 30\) for favors and a small cake or at a taco place for \(\$ 12\) per person plus \(\$ 14\) for a large cake. How many children would you have to invite to the party for the cost to be less at the pizza place?
Problem 50
Solve the equation. $$ 2 y+5=3 y $$
