Answer:3
Step-by-step explanation:
8 times 3 times 1/2 =12
2 times 1/2 times 4=4
12/4=3
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.
Answer:
61% is a reasonable choice
Step-by-step explanation:
The probability of a strike is 79% or 0.79
=> Independently, the probability of 2 consecutive strikes:
P = 0.79 x 0.79 = 0.6241 ~ 61%
Answer:
so is the value of six times 1
Step-by-step explanation:
An equilateral triangle sides are all equal to each other. This means that is one side of an equilateral triangle is x + 3 then the sides of the other two triangles as also each x + 3
The formula for perimeter of a triangle is:
Perimeter = side 1 + side 2 + side 3
Or in the case of an equilateral triangle it would be:
Perimeter = 3(side)
This means that for the formula of this equilateral triangle you have:
Perimeter = 3(x + 3)
If asked the three out side of the parentheses can be distributed, meaning that you multiply the outside number (in this case that is 3) to all the number inside the parentheses (in this case that is x and 3)
Perimeter = (3 * x) + (3*3)
Perimeter = 3x + 9
Both of these are correct:
P = 3(x + 3)
P = 3x + 9
Hope this helped!
~Just a girl in love with Shawn Mendes
