The length of a path from a picnic area to the playground is 3/4 mile. The path has signs with arrows pointing to the playground every 1/8 mile How many signs are placed along the path, assuming that there is a sign at the beginning of the path but not at the end?

3. solve the given inequality and graph the solution on a number line.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.