The Smith family and the Jackson family are having their basements remodeled. The Smith's contractor charges \( \$ 16.50 \) per hour plus \( \$ 289 \) in supplies. The Jackson's contractor charges \( \$ 18.75 \) per hour and \( \$ 274.60 \) in supplies. At how many hours of work will the total cost be the same for both families?

Solve for \( M \). Assume that all other variables are nonzero. \( Q=\frac{2 \text { twM }^{2}}{3 c} \) \( M=\square \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.

Given the quadratic \( y=-2(x+1)^{2}-7 \) write the equation in standard form.

Greg drove at a constant speed in a rainstorm for 280 miles. He took a break, and the rain stopped He then drove 264 miles at a speed that was 9 miles per hour faster than his previous speed. If he drove for 14 hours, find the car's speed for each part of the trip. The rate of the car in the rain was

Greg drove at a constant speed in a rainstorm for 280 miles. He took a break, and the rain stopped He then drove 264 miles at a speed that was 9 miles per hour faster than his previous speed. If he drove for 14 hours, find the car's speed for each part of the trip. The rate of the car in the rain was 35 mph . The rate of the car without the rain was \( \square \mathrm{mph} \).

Solve for the variable specified. \( A=\pi\left(k^{2}+R^{2}\right) p ; \) for \( k \)