Answer:
Cuáles son los números que completan correctamente la siguiente sucesión?
The Next Number Would 250 and 24
xXxAnimexXx
Where is the rectangle, I will help you when you show me the rectangle because I need the rectangle
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
The Answer
LCD = 12
Equivalent Fractions with the LCD
2/3 = 8/12
3/4 = 9/12
1/2 = 6/12
Solution:
Rewriting input as fractions if necessary:
2/3, 3/4, 1/2
For the denominators (3, 4, 2) the least common multiple (LCM) is 12.
LCM(3, 4, 2)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
2/3 = 2/3 × 4/4 = 8/12
3/4 = 3/4 × 3/3 = 9/12
1/2 = 1/2 × 6/6 = 6/12
Hope This Was Helpful :D
