A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is less than 5 and the coin toss is tails?
Write your answer as a fraction in simplest form.

Remmi wrote the equation of the line y=⅓(x+2) he solved for x and got x=3y-2 which of the following is an equivalent equation for x? a. x=y-11/3 b. x=y+7/3 c. x=3(y-⅔) d. x=3(y+⅔)

Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000

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.