X=6y
sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y
x=6y
x=6(1/6)
x=6/6
x=1
the numbers are 1 and 1/6
Answer:
Step-by-step explanation:
Antelope, Montana:
21, 30, 42, 58, 70, 79
Range- 58 79-21= 58
Quartile 1- 30
Quartile 3- 70
Interquartile Range- 40 70-30= 40
Augusta, Maine:
28, 32, 41, 53, 66, 75
Range- 47
Quartile 1- 32
Quartile 3- 66
Interquartile Range- 34
Answer: The correct answer is C,
5 1/2 feet
Step-by-step explanation:
Alexis' scale drawing represents the longest side of the storage bin as 2 3/4 inches. Converting to improper fraction, it becomes 11/4 inches. This is also 2.75 inches.
The scale used is 1/2 inch = 1 feet. This means that a length of 1 feet of the longest side of the actual storage bin is 1/2 inch on the drawing.
Let the actual length, in feet of the longest side of the storage bin be x feet. Therefore
If 0.5 inch = 1 feet
2.75 inch = x
0.5x = 2.75 × 1
x = 2.75/0.5 = 5.5 feet
