Problem 36
Solve each proportion. $$\frac{a}{15}=\frac{12}{60}$$
Problem 40
Solve each equation. Round to the nearest tenth, if necessary. $$190.5=1.5 b^{2}$$
Problem 44
Determine whether each statement is sometimes, always, or never true. A whole number is an integer.
Problem 46
Find the amount of edging needed to enclose the triangular flower bed. A 10 yd B 16 yd C 18 yd D 24 yd
Problem 47
Numbers that can be represented by a triangular arrangement of dots are called triangular numbers. The first three triangular numbers are \(1,3,\) and 6 Find the next three triangular numbers.
Problem 49
Give a counterexample for each statement. All square roots are irrational numbers.
Problem 50
How are square roots related to factors? Give an example of a number between 100 and 200 whose square root is a whole number and an example of a number between 100 and 200 whose square root is a decimal that does not terminate.
Problem 51
Give a counterexample for each statement. What is the value of \(x\) to the nearest tenth if \(x^{2}-4^{2}=\sqrt{15^{2}} ?\)
Problem 53
Solve each equation. Round to the nearest tenth, if necessary. $$196=y^{2}$$
Problem 54
Solve each equation. Round to the nearest tenth, if necessary. $$168=2 p^{2}$$