The 40 ml solution is said to be created from 10 ml and 30
ml solutions. In mixture problems, we equate the final mixture to its
compositions given the concentration for each. A 10 ml has 20% acid and the 30 ml has C
(unknown). We can write the total liters for 10 ml as 10(.2) and 30(c) for the
30 ml. when two solutions were added, it should be equal to 40ml with 32% acid.
Therefore, it should be written as 10(.2) + 30(c) = 40(.32). The answer is A
We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this:
Regroup terms
2(x + 2) = 1
Divided both sides by 2
x + 2 = 1/2
Subtract 2 from both sides
x = 1/2 - 2
Simplify 1/2 - 2 to -3/2
<u>x = -3/2</u>
Answer:
1.2 inches
Step-by-step explanation:
Area of sphere
A = 4πr²
17.6 = 4(3.14)r²
17.6 = 12.56r²
Divide both sides by 12.56
1.4012738854 = r²
Take the sqaure root of both sides
1.1837541491 = r
Rounded
r = 1.2
Answer:
-5n - 4
Step-by-step explanation:
The goal is to simplify this expression.
1. Distribute
-2.5 * 1 = -2.5
-2.5 * 2n = -5n
Now, we have
-2.5 - 5n - 1.5
2. Combine like terms
-2.5 + (-1.5) = -4 (+ * - = - The - cancels out the +)
3. Put it together
-5n - 4
I hope I helped!
Let me know if you need anything else!
~ Zoe