Answer:
Zero, based on the information provided.
Step-by-step explanation:
The output rate of the teller machine is (1 transaction/6 minutes). The input rate is (1 customer/10 minutes). This means that the machine completes a cycle faster than the customers arrive, on the average. I don't know how an average can be calculated without more information. If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line. Is there more information about when the customers arrive? E.g., 50 arrive in the first hour the machine is open.
2 largest number is 1/3 and 4/13
1/3 + 4/13 = 25/39
<span>Its : (1, H), (2, H), (3, H), (4, H), (1, T), (2, T), (3, T), (4, T)
When you flip a coin, you can result in heads (H) or tails (T)
when you spin a spinner with 4 equal sections, you get 1, 2, 3, or 4 (1, 2, 3, 4)
Therefore the 8 combinations are above.
Hope this helps :)</span>
Answer
Step-by-step explanation:
- The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
- Let x represent the number of cyclists.
- Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
- Revenue = 60x + 15000
- Also, the cost of the race is $18 per entry, hence:
- Cost = 18x
- They need to raise at least $57,000, hence:
- Profit ≥ 57000
- Revenue - Cost ≥ 57000
- (60x + 15000) - 18x ≥ 57000
- 42x ≥ 42000
- x ≥ 1000
- Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Answer:
(a) Two x plus eight is greater than negative four
(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded
Step-by-step explanation:
(a)
Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:
<em>Two x plus eight </em><em>is greater than</em><em> negative four</em>
<em />
(b)
We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.
Subtract 8 from both sides:
2x + 8 - 8 > -4 - 8
2x > -12
Divide by 2:
x > -12/2
x > -6
So, the solution set is all numbers greater than -6.
Drawn on a number line, we would first place an <em>open circle</em> at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.
