Answer: There are 198 different combinations.
Step-by-step explanation:
To solve this type of problem, first, we need to identify the selections.
We have 3 selections.
Baby doll, Jigsaw puzzle, and a stuffed dog.
Now, we need to count the numbers of options for each case:
Baby doll: 11 options.
Jigsaw Puzzle: 6 options.
Stuffed dog: 3 options.
To find the total number of different combinations, we need to multiply all the numbers of options together, this is:
Combinations = 11*6*3 = 198
There are 198 different combinations.
Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles