Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
She would have 20 dollars left over. take the amount of money she has then add up all of the cost of the stuff she will buy then subtract.
Y= 6x + 1.
6x represents six times, and the +1 is “one more.”
The volume for a pyramid is

, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:

. Simplifying the right side we have

. Multiply both sides by 18 to get rid of the fraction and we have

, so x = 117.575
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

From this definition, we can write
in terms of
:




and so on, up to

(notice how the subscript on <em>a</em> and coefficient on 3 add up to <em>n</em>)
or
