Problem 65
Ruth walks at the rate of 100 meters per minute and jogs at the rate of 220 meters per minute. She walks for 25 minutes and then jogs for 35 minutes. (a) How fast does she walk? (b) For how long does she walk? (c) How far does she walk? (d) How fast does she jog? (e) For how long does she jog? (f) How far does she jog? (g) How much distance has Ruth covered all together?
Problem 65
Simplify by combining like terms whenever possible. $$2 x+5 x$$
Problem 67
Using exactly four 3 's and the four arithmetic operations, write an expression for as many of the numbers from 1 through 27 as you can. For example, the number 6 can be written as \(3\left(3-\frac{3}{3}\right)\)
Problem 68
Simplify the given expression as completely as possible. $$\left(-5 n^{4}\right)^{3}$$
Problem 71
Evaluate the given expression for \(x=2, y=-3,\) and \(z=-4.\) $$y^{2}-3 y+2$$
Problem 74
Evaluate each expression. Round off your answer to the nearest thousandth where necessary. $$(-2.7)^{9}$$
Problem 75
Simplify by combining like terms whenever possible. $$5 x+7 x-3$$
Problem 80
Simplify by combining like terms whenever possible. $$18+6 w-w+4$$
Problem 81
Simplify by combining like terms whenever possible. $$2 x-3 y-7 x+5 y$$
Problem 82
Simplify by combining like terms whenever possible. $$3 s-4 t-8 s+t$$