"x" would have to equal 1/2. You'd divide by 2 on both sides then simplify.
Answer:
21 liters of the 12% solution and 4 liters of the 37% solution
Step-by-step explanation:
Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:
0.12x+0.37y = 4
x + y = 25
Multiplying the bottom equation by 0.12, we have
0.12x + 0.12y = 3
Subtracting, we have
0.12x+0.37y=4
-
0.12x + 0.12y = 3
= 0.25y = 1
= y = 4
= x = 25 - 4 = 21
We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:

Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:

Therefore, the current value of the house is $267050.
Answer:
Hence the new height is 3 times the original height .(h1=3h)
Step-by-step explanation:
Given:
A cone with has height and base with radius r .
To Find:
What is new height
Solution:
Consider as cone with height h base radius r, and volume v
Here given that only height changes for the cone i.e. r remains the unchanged or same or constant
The volume for a regular cone is given by ,

Here V is directly proportional to h i.ee pie ,3 and r being constant

i.e V/h=constant
V1 and h1 are new dimensions for new cone
V/h=V1/h1
Here V1=3V
So V/h=3V/h1
1/h=3/h1
i.e h1=3h
Hence the height is 3 times the original height .
Answer:
Permutation is used.
No. of arrangements = 1260
Step-by-step explanation:
Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.
Total no. of alphabets in CORRECT = 7
C is repeated twice, R is repeated twice
So, Total No. of arrangements = <u>7 !</u>
(2!)(2!)
= 5040 / 4
= 1260