Step-by-step explanation:
the rate of change is the slope of the line connecting both points.
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here
x changes by -10 units (from -24 to -34)
y changes by -10 units (from 60 to 50).
the slope or rate of change is -10/-10 = 1/1 = 1
The 2 lengths + 2 widths of the rectangle will equal 160 meters
So, for example, length = 50 m and width = 30m would fit the bill
2*50 + 2*30 = 160 m
Answer:
$28.80
Step-by-step explanation:
4.80 x 6 = 28.8
Hope this helped!
Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
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
