Answer:
32 times
Step-by-step explanation:
4/5:x/40 ----x=32
Answer:
$82
Step-by-step explanation:
If the coat is 1/3 off then you pay 2/3 of the price. To find a sale price, multiply the cost by 2/3.
123(2/3) = 246/3 = 82
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Answer:
120 liters of 60% alcohol solution is needed
Step-by-step explanation:
Let's assume
x liters of 60% alcohol solution is added
so, we get solution as


we are given
40 liters of a 20% alcohol solution is



so, total alcohol solution is

now, we can find total solutions
total solutions is

now, it is making 50% solution
so, we get

now, we can solve for x




So,
120 liters of 60% alcohol solution is needed