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Problem 28

Simplify the given expressions. In each of \(5-9\) and \(12-21,\) the result is an integer. $$\frac{\sqrt{108}}{2}$$

Problem 28

Evaluate each of the given expressions by performing the indicated operations. $$-20+8 \div 4$$

Problem 28

$$\text { Simplify the given algebraic expressions.}$$ $$-[(A-B)-(B-A)]$$

Problem 28

Perform the indicated divisions. Express the answer as shown in Example 5 when applicable. $$\left(3 t^{2}-7 t+4\right) \div(t-1)$$

Problem 28

Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter. $$T=3\left(T_{2}-T_{1}\right), \text { for } T_{1} \quad \text { (oil drilling) }$$

Problem 29

Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter. \(T_{2}=T_{1}-\frac{h}{100},\) for \(h \quad\) (air temperature)

Problem 29

Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given. Two gasoline distributors, A and \(\mathrm{B}\), are \(228 \mathrm{mi}\) apart on Interstate 80. A charges \(\$ 2.90 / \mathrm{gal}\) and \(\mathrm{B}\) charges \(\$ 2.70 / \mathrm{gal} .\) Each charges 0.2 c/gal per mile for delivery. Where on Interstate 80 is the cost to the customer the same?

Problem 29

Simplify the given expressions. Express results with positive exponents only. $$-\frac{L^{-3}}{L^{-5}}$$

Problem 29

Simplify the given expressions. In each of \(5-9\) and \(12-21,\) the result is an integer. $$\sqrt{\frac{80}{|3-7|}}$$

Problem 29

Perform the indicated multiplications. $$(2 s+7 t)(3 s-5 t)$$

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