Hence, -45 is the number which when added to the given fraction will give 2/3
Further explanation:
Given fraction is:

Let x be the number which has to be added to numerator and denominator
Then

Cross-multiplying

Hence, -45 is the number which when added to the given fraction will give 2/3
Keywords: Linear equation in one variable, Cross-multiplication
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Answer:
Expected counts: 55 ducks, 25 geese, 13 cranes, 11 swans, 6 heron
Observed counts:
61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons.
Step-by-step explanation:
There are 61+17+11+15+6 = 110 birds on the lake.
The expected counts are:
0.50*110 = 55 ducks
0.23*110 = 25 geese
0.12*110 = 13 cranes
0.10*110 = 11 swans
0.05*110 = 6 herons
What the biologist counted were the observed counts.
Answer:
- 0
- 1
- an infinite number
Step-by-step explanation:
<u>Case 1</u>
The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.
<u>Case 2</u>
The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)
<u>Case 3</u>
There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.
The line y = 12 is a horizontal line with a slope of 0.
Therefore a line parallel to line y = 12 will have a slope of 0.
A line perpendicular to line y = 12 is a vertical line, the slope of a vertical line is undefined.
Answer:
Yes, because there were 8 pieces to start with. Hernando ate 2, leaving six pieces to split equally between his other six friends.