Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
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Yes, yes it is equal. is there a picture or graph or something?
Answer:
66
Step-by-step explanation:
Use the formula for the mean of a set of numbers:
sum of the numbers
average = --------------------------------
count of numbers
Here we know that the average mark was 68, so we can write:
75 + 62 + 84 + 53 + x
average = 68 = ----------------------------------
5
or 274 + x
68 = -------------------
5
Solving for x, we multiply both sides by 5: 340 = 274 + x.
Subtracting 274 from both sides effectively isolates x:
340 = 274 + x
- 274 -274
------------------------
66 = x
The fifth student's mark was 66.
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
We find the slope of the line:
Thus, the equation of the line is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
