If you have any questions or need help them please comment. Good luck!
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
Answer: Priscilla can make 8 bracelets in 48 minutes.
Step-by-step explanation:
So the givens are that:
2 bracelets in 12 minutes, how many in 48 minutes
So find the ratio of bracelets to minutes:
2/12 simplified is 1/6
So Priscilla can make 1 bracelet per 6 minutes. We just need to find how many in 48 minutes.
1/6 * 8 = 8/48
So Priscilla can make 8 bracelets in 48 minutes.
Hence your answer.
Answer:
Team 3 Turtle, by 4 minutes
Step-by-step explanation:
The speeds of each of the turtles can be computed from ...
speed = distance/time
Then for each of the turtles, the training pace is ...
Team 1 Turtle: (18 ft)/(6 min) = 3 ft/min
Team 2 Turtle: (12 ft)/(4 min) = 3 ft/min
Team 3 Turtle: (10 ft)/(2 min) = 5 ft/min
The times required to cover the 30 ft distance at these paces are ...
time = distance/speed
3 ft/min ⇒ (30 ft)/(3 ft/min) = 10 min
5 ft/min ⇒ (30 ft)/(5 ft/min) = 6 min
The 2nd-place finishers will take 10-6=4 minutes longer.
The expected winner is Team 3 Turtle by 4 minutes.
