91Ó°ÊÓ

Problem 3

Perform the indicated operation. Write all results in lowest terms. $$\frac{5}{12}+\frac{1}{12}$$

Problem 3

Divide each of the following and express each answer in simplest form. $$a \cdot \frac{1}{5} \div \frac{1}{10}$$ $$\text { b. } \frac{-5}{9} \div \frac{25}{-21}$$ $$\text { c. }-8 \div \frac{8}{10}$$ $$d .-\frac{12}{26} \div \frac{8}{15}$$ $$\text { e. } \frac{\frac{-3}{10}}{\frac{-5}{9}}$$ $$\frac{\frac{23}{19}}{-46}$$

Problem 4

Solve the following equations. a. \(\frac{6}{7} x=\frac{1}{2}\) b. \(\frac{3}{11} x=-\frac{3}{13}\) c. \(-\frac{5}{6} t=-\frac{10}{21}\) d. \(-\frac{4}{5} y=\frac{24}{35}\)

Problem 4

Reduce the given fraction to an equivalent fraction in lowest terms. $$\frac{8}{28}$$

Problem 4

a. As part of a science project, you do a study on the number of beans that actually sprout. You determine that approximately 9 out of 10 seeds germinate. Write this relationship as a fraction. b. Your uncle has ordered 2500 bean seeds for his commercial garden. Assuming that 9 out of every 10 seeds sprout, how many bean plants can he expect to sprout?

Problem 4

Perform the indicated operation. Write all results in lowest terms. $$\frac{5}{8}-\frac{3}{8}$$

Problem 5

Due to the curvature of Earth's surface, the maximum distance, \(d\), in kilometers that a person can see from a height \(h\) meters above the ground is given by the formula $$d=\frac{7}{2} \sqrt{h}$$ a. Use the formula to determine the maximum distance a person can see from a height of 64 meters. b. Use the formula to determine the maximum distance a person can see from a height of 100 meters.

Problem 5

Use the inequality symbols\(<\) or \(>\) to compare the following fractions. $$\frac{5}{12} \text { and } \frac{1}{3}$$

Problem 5

Perform the indicated operation. Write all results in lowest terms. $$\frac{2}{3}-\frac{2}{3}$$

Problem 6

An object dropped from a height falls a distance of \(d\) feet in \(t\) seconds. The formula that describes this relationship is \(d=16 t^{2} .\) A math book is dropped from the top of a building that is 400 feet high. a. How far has the book fallen in \(\frac{1}{2}\) second? b. After \(\frac{3}{4}\) seconds, how far above the ground is the book?