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Magazine Problem 37
Divide as indicated. $$\frac{15}{x} \div \frac{3}{2 x}$$
Problem 37
Add or subtract as indicated. Simplify the result, if possible. $$\frac{7}{x+5}-\frac{4}{x-5}$$
Problem 37
Simplify each complex rational expression by the method of your choice. $$\frac{\frac{3}{x y^{2}}+\frac{2}{x^{2} y}}{\frac{1}{x^{2} y}+\frac{2}{x y^{3}}}$$
Problem 37
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x+1}{x^{2}-2 x-3}$$
Problem 37
What is a proportion? Give an example with your description.
Problem 37
Continue to use the four-step procedure for solving variation problems given on page 561 to solve. The heat loss of a glass window varies jointly as the window's area and the difference between the outside and inside temperatures. A window 3 feet wide by 6 feet long loses 1200 Btu per hour when the temperature outside is \(20^{\circ}\) colder than the temperature inside. Find the heat loss through a glass window that is 6 feet wide by 9 feet long when the temperature outside is \(10^{\circ}\) colder than the temperature inside.
Problem 38
Divide as indicated. $$\frac{9}{x} \div \frac{3}{4 x}$$
Problem 38
What is a proportion? Give an example with your description.
Problem 38
Simplify each complex rational expression by the method of your choice. $$\frac{\frac{2}{x^{3} y}+\frac{5}{x y^{4}}}{\frac{5}{x^{3} y}-\frac{3}{x y}}$$
Problem 38
Continue to use the four-step procedure for solving variation problems given on page 561 to solve. Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 8 grams and velocity of 3 centimeters per second has a kinetic energy of 36 ergs. Find the kinetic energy for a mass of 4 grams and velocity of 6 centimeters per second.
