<h3>
Answer: Slope = -3/4</h3>
slope = rise/run
rise = -3 ... move down 3 units
run = 4 .... move to the right 4 units
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Work Shown:
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (-17-(-2))/(24-4)
m = (-17+2)/(24-4)
m = -15/20
m = -3/4 is the slope
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It basically means "move down 3 units, and move to the right 4 units"
So, slope = rise/run = -3/4
rise = -3 = move down 3 units
run = 4 = move to the right 4
You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.
Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.
Answer:
The second set of equations is the one you want.
Step-by-step explanation:
If s is the cost of a shirt and you buy 3 of them, you represent that as 3s. Likewise with all the other numbers of articles of clothing you are given. The first situation then is 3s + 5t = 60. The second situation is 2s + 3t = 39.
Answer:
Step-by-step explanation:
Let "x" be the number.
Product of 6 and x (6*x), increased by 4 = 
Product of 12 and x, (12*x), decreased by 20 = 
.
Set both expressions equal to each other and solve for x as shown below:
(equation)
Subtract 12 from both sides
Subtract 4 from both sides
Divide both sides by -6
Answer:
John has $21.
Step-by-step explanation:
Let John's "wealth" be w. Then 2w+8 = 50, or 2w = 42, or w = 21.
John has $21. Eight more than twice this is 42+8 = 50, as expected.
Answer:
$29
Step-by-step explanation:
2*1.25
2*3.75
2*1.5
4*1.75
4*2.25
multiply these and add them all up and you get 29
