Express the ratio of 180 s to 4 min in simplest form.

A person 1.8 m tall is photographed, and the film image is 20.0 mm high. Under the same conditions, how tall is a person whose film image is 14.5 mm high?

The change L in length of a copper rod varies directly as the change T in temperature of the rod. Set up an equation for this relationship if $L\hspace{0.17em}=\hspace{0.17em}2.7\text{ cm}$ for $T\hspace{0.17em}=\hspace{0.17em}150\hspace{0.17em}°\hspace{0.17em}\text{C}\hspace{0.17em}.\hspace{0.17em}$

Given that $1.00\text{ in}\hspace{0.17em}.\hspace{0.17em}\hspace{0.17em}=\hspace{0.17em}2.54\text{ cm}\hspace{0.17em},\hspace{0.17em}$ what is the length (in in.) of a computer screen image that is 7.24 cm long?

The perimeter of a rectangular solar panel is 210.0 in. The ratio of the length to the width is 7 to 3. What are the dimensions of the panel?

The difference p in pressure in a fluid between that at the surface and that at a point below varies jointly as the density d of the fluid and the depth h of the point. The density of water is $1000\text{ kg}\hspace{0.17em}/\hspace{0.17em}{\text{m}}^3\hspace{0.17em},\hspace{0.17em}$ and the density of alcohol is $800\text{ kg}\hspace{0.17em}/\hspace{0.17em}{\text{m}}^3\hspace{0.17em}.\hspace{0.17em}$ This difference in pressure at a point 0.200 m below the surface of water is 1.96 kPa. What is the difference in pressure at a point 0.300 m below the surface of alcohol? (All data are accurate to three significant digits.)

The crushing load L of a pillar varies directly as the fourth power of its radius r and inversely as the square of its length l. If one pillar has twice the radius and three times the length of a second pillar, what is the ratio of the crushing load of the first pillar to that of the second pillar?