Answer:
m = 2.25
Step-by-step explanation:
In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)
Plug in these values:
(26.25 - 8.25) / (11 - 3)
Simplify the parentheses.
= (18) / (8)
Simplify the fraction.
18/8
= 9/4
This is your slope.
In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.
? You do 5+2= 7
Is that what you are asking
Answer: See explanation
Step-by-step explanation:
First and foremost, we should not that:
1 yard = 3 feet
We are informed that Wyatt uses 200 feet of rope for each doormat and that he wants to make 25 doormats.
The expression that shows a correct way to find how many yards of rope he needs will be:
= (200 × 25) / 3
= 5000/3
= 1666.67 yards
Answer:
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Step-by-step explanation:
Christine, Dale, and Michael sent a total of 71 messages
C + D + M = 71
Dale sent 9 fewer messages than Christine
D = C - 9
Michael sent 2 times as many messages as Christine
M = 2C
Plug-in the numbers.
C + C - 9 + 2C = 71
4C - 9 = 71
4C = 80
C = 20
Now, plug in to other equations for other results.
D = (20) - 9
D = 11
M = 2(20)
M = 40
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Verify?
40 + 20 + 11 = 71.
Your expected value is 36*2/6 + -36*4/6, which is equal to $-12.
