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Problem 53

Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary. A car rental company charges 29.95 dollar per day and $17 centavo per mile. If a 3 -day car rental cost 123.17 dollar, how many miles were driven?

Problem 55

solve the given equation. Round off your answers to the nearest hundredth where necessary. $$0.3 x-0.82=1.13$$

Problem 55

What does it mean for one number to be less than another?

Problem 56

solve the given equation. Round off your answers to the nearest hundredth where necessary. $$6.7 a-13.4=2.8 a+110.23$$

Problem 58

Explain in words what the inequality \(2

Problem 60

solve the given equation. Round off your answers to the nearest hundredth where necessary. $$0.03 w-0.8(w-0.62)=40$$

Problem 63

A wooden board 30 ft long is cut into two pieces so that the longer piece is 8 ft longer than the shorter piece. Find the lengths of the two pieces.

Problem 63

Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary. The length of a rectangle is 7 more than twice its width. If the perimeter of the rectangle is \(50 \mathrm{cm},\) find the dimensions of the rectangle.

Problem 64

A wooden board \(27 \mathrm{ft}\) long is cut into two pieces so that the longer piece is 8 times as long as the shorter piece. Find the lengths of the two pieces.

Problem 66

One number is 8 more than twice another. If the sum of the two numbers is 38 , find the numbers.

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