91Ó°ÊÓ

Without solving the equation \(x+\frac{13}{15}=-\frac{21}{43}\), determine whether \(x\) is less than or greater than \(-\frac{21}{43} .\) Explain your answer.

Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs \(\$ 2.50\) per ounce and 50 oz of a lotion that costs \(\$ 4.00\) per ounce.

Translate into an equation and solve. Find three consecutive even integers whose sum is negative eighteen.

Solve and check. $$b-4=11$$

Solve and check. $$z-6=10$$

Translate into an equation and solve. Twice the smallest of three consecutive odd integers is seven more than the largest. Find the integers.

To solve uniform motion problems Two cyclists start from the same point and ride in opposite directions. One cyclist rides twice as fast as the other. In \(3 \mathrm{h}\), they are \(81 \mathrm{mi}\) apart. Find the rate of each cyclist.

To solve uniform motion problems A jogger starts from one end of a 15 -mile nature trail at 8: 00 A.M. One hour later, a cyclist starts from the other end of the trail and rides toward the jogger. If the rate of the jogger is 6 mph and the rate of the cyclist is 9 mph, at what time will the two meet?

Solve and check. $$9-4 x=6$$

Translate a sentence into an equation and solve. The length of the Royal Gorge Bridge in Colorado is \(320 \mathrm{m}\). This is one-fourth the length of the Golden Gate Bridge. Find the length of the Golden Gate Bridge.