Answer:

Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:


1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

Now, we will divide 1800 by 45 to find average rate in laps per hour as:


Therefore, Sebastian's average rate is 40 laps per hour.
No because the scale factors are different. You can see that QR compared to VT the scale factor is 2, but in RS and TU it's different, so they are not similar.
Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
Answer:
The
term of A.P sequence
tₙ = 9 n - 26
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sequence
- 17 , -8 , 1 .......
first term = -17
Second term = - 8
The difference of first two terms
d = - 8 -(-17) = -8+17 = <em>9</em>
The difference of next two terms
d = 1 - (-8) = 1+8 = 9
∴ The given sequence is in A.P ( Arthimetic progression)
<u><em>Step(ii):-</em></u>
The
term of A.P sequence

Given a = - 17 and d = 9

<u><em>Final answer</em></u>:-
The
term of A.P sequence
tₙ = 9 n - 26