Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
0.50x + 0.30(420-x) = 0.45(420)
0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
(420-x) = 420-315 = 105 . . . . . . . . . liters of 30% solution
Theresa should mix ...
105 liters of 30% solution
315 liters of 50% solution
Hello from MrBillDoesMath!
Answer:
1/243
Discussion:
3^(-3) * 3^(-2) => as a^m * a^n = a^(m+n), the exponents add
= 3^ (-3 -2)
= 3^ (-5) =
= 1/ 3^5 => as 3^5 = 243
= 1/243
which is approximately .0041
Thank you,
MrB
Probabilities are used to determine the chances of events
The value of the probability P(x < 24) is 0.7895
<h3>How to calculate the probability
P(x < 24)?</h3>
This is calculated as:
So, we have:
Evaluate the sums
Evaluate the quotient
Hence, the value of the probability P(x < 24) is 0.7895
Read more about probabilities at:
brainly.com/question/9385303
