The average age of the seven apprentice magicians is 143 years. The average age of the seven apprentice magicians and the head wizard is 150 years. How old is the head wizard?

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Ricardo ran the 400 meter race 3 times his fastest time was 54.3 seconds his slowest time was 56.1 seconds if his average time was 55.0 seconds what was his time for the third race

The scale for a map is 20 miles = 1/2 inch. the distance between two towns on the map is 3 3/4 inches. what is the actual distance between these towns? 150 miles 38 miles 75 miles 135 miles