Bob needs to hire someone to mow his lawn and rake his leaves. His neighbor's son charges $36 to mow plus $5 for each leaf bag he fills. His niece charges $60 to mow plus $2 for each leaf bag she fills,

Write an equation to determine the number of bags for which the two costs would be the same.

How do you find principle and simple interest

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?