Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e
-------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
Answer:
t = 6 4/25 hours
Step-by-step explanation:
The formula to find out how long it takes them to do the job is
1/m + 1/ a = 1 /t
where m is the time for Matthew to do the job
a is the time for Arianna to do the job
and t is the time for them to do the job together
m = 14 hours
a = 11 hours
Substituting what we know
1/14 + 1/11 = 1/t
Multiplying by 154t (14*11*t) so we can clear the fractions
154t*(1/14 + 1/11) = 1/t* 154t
11t + 14t = 154
Combine like terms
25t = 154
Divide by 25
t = 154/25
t = 6 4/25 hours