91Ó°ÊÓ

Solve each equation by first finding the LCD for the fractions in the equation and then multiplying both sides of the equation by it.(Assume \(x\) is not 0 in Problems \(39-46\).) $$3 x+\frac{1}{2}=\frac{1}{4}$$

As you know, the volume \(V\) enclosed by a rectangular solid with length \(I,\) width \(w,\) and height \(h\) is \(V=I \cdot w \cdot h .\) Find \(V\) if: \(I=6\) inches, \(w=12\) inches, and \(h=5\) inches

Indicate which of the given ordered pairs are solutions for each equation. $$y=-3 x \quad(0,0),(-3,0),(-1,3)$$

As you know, the volume \(V\) enclosed by a rectangular solid with length \(I,\) width \(w,\) and height \(h\) is \(V=I \cdot w \cdot h .\) Find \(V\) if: \(I=6\) yards, \(w=\frac{1}{2}\) yard, and \(h=\frac{1}{3}\) yard

Simplify each side of the following equations before applying the addition property. $$8-5=3 x-2 x+4$$

Simplify. $$\frac{5}{9}(95-32)$$

Using the addition property of equality first, solve each of the following equations. $$-2 x-5=-7$$

The following equations contain parentheses. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. $$5(x+1)-4 x=2$$

Apply the distributive property to each expression and then simplify. $$5(2 y-6)+4 y$$

Solve each equation by first finding the LCD for the fractions in the equation and then multiplying both sides of the equation by it.(Assume \(x\) is not 0 in Problems \(39-46\).) $$\frac{3}{x}+1=\frac{2}{x}$$