Answer:
a)
Step-by-step explanation:
find a linear function that models these data.
Answer:
the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.
Step-by-step explanation:
From the given information,
Let x be the litres of 55% pure solution
Let y be the litres of 30% pure solution
Also;
Given that our total volume of solution is 100 litres
x+y =100 ---- (1)
The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.
(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)
From equation (1)
Let ; y = 100 - x
Replacing the value for y = 100 - x into equation (2)
(0.55)(x)+(0.30)(100-x) = 0.45(100)
0.55x + 30 - 0.30x = 45
0.55x - 0.30x = 45 - 30
0.25x = 15
x = 15/0.25
x = 60 liters of 55% solution
From ; y = 100 - x
y = 100 - 60
y = 40 litres of 30% solution.
Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.
Answer:
The equation that represents the line passing through the point (2, -4) with a slope of one half is
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
In which a is the slope of the line.
Solution:
The line slope is 
, so 
.
The equation of the line now is:
The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4
So:
So, the equation that represents the line passing through the point (2, -4) with a slope of one half is
Hello!
Say that n is the number. There are two parts to this statement. The first part is "four less than three times a number", and the second is "is three more than two times the number. An expression fitting the first part will go on the left side of the equation, and the second part will go on the right.
Look at the first part. "Four less than three times a number". The first thing being done here is the <u>three times a number.</u> This would be 3n, as it is 3 times n. Now, there is the <u>four less</u> part. You would therefore have to subtract 4 from 3n, to get 3n - 4.
Now the second part. "Is three more than two times the number". The first thing being done here is the <u>two times the number</u>. That would be 2n. The next is "is three more than". If the other side is three more than 2n, then you must add 3 to 2n to make them equivalent. Therefore, it would be 2n + 3.
Now, set them equal to each other, and solve.
3n - 4 = 2n + 3
3n - 2n = 3 + 4
n = 7
Therefore, your number is 7.
Hope this helps!
Answer: 50
Step-by-step explanation: 50 out of 50 is 100% just like 25 out of 50 is 50%
