x = the number of feet of fence
y = the total cost of the fence and gate
43x + 128 = y
[fence costs $43 per feet(x) plus the cost of the gate(128) equals the total cost of the fence and gate(y)]
Answer:
y=x+1
m=1
b=1
Step-by-step explanation:
-2x+2y=2
+2x +2x
2y=2+2x
divide by 2
y=1+x
rewrite
y=x+1
Since b is the y intercept, b would equal 1.
The slope of the line, or m, would be 1 as well.
Answer: 17 patients stayed for longer than 10 minutes.
Step-by-step explanation:
Let x represent the number of patients that stayed for longer than 10 minutes.
The doctor charges $21.80 for consultations that last less than 10 minutes and $27.50 for those that last longer than 10 minutes. Yesterday the doctor earned $1077.90. If 28 consultations lasted less than 10 minutes, it means that
28 × 21.80 + x × 27.50 = 1077.90
610.4 + 27.5x = 1077.9
27.5x = 1077.9 - 610.4
27.5x = 467.5
x = 467.5/27.5
x = 17
The side lengths 10.5 cm, 20.8 cm, and 23.3 cm create a right scalene triangle.
Proportional Reasoning with Scale drawing