Answer:
Water = 1/5 of the volume of the syrup
Step-by-.step explanation:
Suppose we had 1000 cm^3 of syrup and the new volume after adding water is x cm^3. Now the amount of sugar stays the same so we have the equation 35 * 1000 = 25 * x
x = (30 * 1000) / 25 = 30,000 / 25
= 1200 cm^3
So we need to add 200 cm^2 of water .
In general terms, we need to add water which equals 1/5 of the volume of the syrup,
Answer:
geometric
common ratio 2/3
Step-by-step explanation:
We know that the sequence is not arithmetic
3-2 =1
2-4/3 = 6/3 -4/3 = 2/3
The common difference is not the same
Now check geometric
The common ratio:
Take the second term over the first term
2/3
Now take the third term over the second term
4/3 ÷ 2
4/3 * 1/2 = 2/3
The common ratio is the same so the sequence is geometric with a common ratio of 2/3
Answer:
AC = 4DB
Step-by-step explanation:
see attachment
Given that B is the midpoint of AC, this means that AB≅BC.
Also, D is the midpoint of AB, therefore AD≅DB.
This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4). DB is the same length, since it is congruent to AD.
Thus, AC = 4DB.
Your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)
so

where c is the new base
so if you wanted in base 10

using calculator, that is about 2.16096
Probably by gender and age. Different age groups get first second and third.