Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
In this problem we have
substitute and solve for b
The equation of the line is equal to
3/2^2 or 0.75 because you have to take the middle value (3), divide it in half, then square it. That would be 0.75.
Answer:
Part A) The graph in the attached figure
Part B)
Step-by-step explanation:
Let
y------> the price of gas
x-----> the volume of gas purchase
we know that
The relationship between the cost of gas and the volume purchase represent a direct variation and remember that a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is equal to
and the y-intercept b is equal to zero because the line passes through the origin
therefore
the linear equation is
using a graphing tool
see the attached figure