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Problem 40

Multiply the equation by a power of 10 to write an equivalent equation with integer coefficients. $$ 2.5 x+0.7=4.6-1.3 x $$

Problem 44

Use the information at the right. Use the Table feature on a graphing calculator (or spreadsheet software) as indicated. The General Sherman tree, a sequoia tree in Sequoia National Park, has the greatest volume of any tree in the world. The distance around the tree (the circumference) measures 102.6 feet. Show how to find the distance straight through the center of the tree (the diameter) without measuring it directly. Then find this value to the nearest tenth of a foot.

Problem 44

The 267.9 million people in the United States consumed 639.4 million kilograms of the cocoa produced in the \(1996-1997\) growing year. Which choice better represents the amount of cocoa consumed per person that year? Explain. \(.\) Source: International Cocoa Organization A. 2.38671146 kilograms B. about 2.4 kilograms

Problem 45

The selling price of a certain video is \(\$ 7\) more than the price the store paid. If the selling price is \(\$ 24,\) find the price the store paid.

Problem 49

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. 4 and \(-3\)

Problem 49

Imagine a rope wrapped around Earth at the equator (Earth's circumference \(C\) ). Then think of adding \(d\) feet to the rope's length so it can now circle Earth at a distance \(h\) feet above the equator at all points. How much rope do you need to insert if you want the rope to circle Earth 500 feet above the equator? Use 3.14 as an approximation for \(\pi .\)

Problem 50

Consecutive integers are integers that follow each ther in order (for example, \(5,6,\) and 7 ). You want to find three consecutive the whose sum is 84 . a. Why does the equation \(n+(n+1)+(n+2)=84\) model the situation? b. Solve the equation in part (a). Then find the three consecutive integers.

Problem 51

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-0.2 \text { and }-0.21$$

Problem 51

Write and solve an equation to answer the question. You ate three of the eight pizza slices and you paid \(\$ 3.30\) as your share of the cost. How much did the whole pizza cost?

Problem 52

You have a 90-pound calf you are raising for a \(4-\mathrm{H}\) project. You expect the calf to gain 65 pounds per month. In how many months will the animal weigh 1000 pounds?

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