Remember you said the scale shows you 10% heavier.
So that's an increase of 10%
So value = 10% + 100% = 110%
So scale would show 110% of 82
110% of 82
= (110/100) * 82
= 1.1 * 82
= 90.2
OR
We can simply find 10% of 82 and add it to the original 82.
10% of 82
(10/100) * 82
0.1 * 82 = 8.2
8.2 + 82 = 90.2 Same answer as before.
So scale shows 90.2 kg.
At θ = 90°, the equation must evaluate to zero. The only one that does that is the 1st choice ...
r = 2 - 2sin(θ)
Answer:
0.3 hour or 18 minutes
Step-by-step explanation:
How long means, we are to calculate the time(t)
Hence,
Speed × time = Distance
For Neil , 11 × t
For Charlie = 9 × t
11t + 9t = 6
20t = 6
t = 6/20
t = 0.3 hour
Converting to minutes
1 hour = 60 minutes
0.3 hour = x
x = 0.3 × 60 minutes
x = 18 minutes
Therefore, it will take 0.3 hour or 18 minutes for these two to meet.
Answer: a)
b)
c) 
Step-by-step explanation:
Since we have given that
There are green and yellow candies in each bag.
Bag A: Two thirds of the candies are yellow. What portion of the candies is green?
Part of yellow candies in bag A = 
Part of green candies in bag A would be

Bag B: 29 % of the candies are yellow. What portion of the candies is green?
Percentage of candies are yellow = 29%
Portion of candies are green is given by

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?
Portion of yellow candies = 
Portion of green candies would be

Hence, a)
b)
c) 
32.3 is a decimal number in which 3 is the digit at the tenth place.
Mixed number contains a whole number and a fraction part.
32.3 expressed as mixed fraction is
, here 32 is the whole number and
is the fraction part.
is the fraction in the simplest form.
For this reason, 32.3 expressed as a mixed number in the simplest form is
.