Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
The plot: x meters wide and (x+30) meters long with an area of 15000 m^2. the equation you're searching for is:
x meters * (x+30) meters = 15000 m^2 or
x^2 + 30x m^2 = 15000 m^2 and
x^2 + 30x - 15000 = 0 <== that's the equation.
ans: x^2 + 30x - 15000 = 0
Answer:
<h2>y = -3x - 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have two points (1, -4) and (-2, 5).
Substitute:
Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:
<em>add 3 to both sides</em>
Finally:
