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:
Step-by-step explanation:
Step one:
the original price of refrigerator = $650.20
the markup/raise is 50%
the new price after the raise is
= 50/100*650.20
=0.5* 650.20
=325.1
The raise is by $325.1
The new price is $325.1+ $650.20=$975.3
Step two:
there was a discount of 70%
so =(70/100)*975.3
=0.7*975.3
=682.71
The discounted price is $682.71
The new price is 975.3-682.71
=$292.59
I believe it is 9
The given function :
To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.
Now, put x= 5 in g(x), we get
Answer:
Step-by-step explanation:
Given the following question:
In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.
Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."
Hope this helps.
