Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour. Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?

The length of a shadow of the building is 36m. the length of the pole, which is perpendicular to the ground, is 1.9m. the length of the pole's shadow is 1.52m. what is the height of the building?

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.