Length of the thread = 30 metres
Length of the thread in one round of a reel = Circumference of the reel
Since radius of the reel =
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Jasmine has two options:
Rent skis at the resort for $30 per day.
Then if she rents the skis for N days, the cost will be:
C(N) = N*$30
Buy skis for $150
Now we can ignore the lift pass because she will pay that in both cases.
Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.
Then we need to solve:
C(N) = $150
N*$30 = $150
N = $150/$30 = 5
So if you rent the skis for 5 days, you will pay the same as if you bought the skis.
The first term of the sequence, a1, is 12. The common difference, d, is 2. The number of terms is n = 10. The sum is given by the formula ...
Sn = (2a1 +d(n-1))(n/2)
Filling in the numbers, this is ...
S10 = (2·12 +2(10-1))(10/2) = (24+18)(5) = 210
There are 210 chairs in the theatre.
533/80 = 6.6625
Step 1: Convert the mixed fractions into improper fractions
Multiply whole number by denominator and add the numerator.
Denominator remains the same
1 3/10 = 13/10
5 1/8 = 41/8
Step 2: Multiply numerators and denominators
13/10 x 41/8