If you would like to find the unit rate, you can calculate this using the following steps:
$11.49 ... 3 packages
$x = ? ... 1 package
11.49 * 1 = 3 * x
11.49 = 3 * x /3
x = 11.49 / 3
x = $3.83
The correct result would be $3.83.
The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
Learn more about the slope of perpendicular lines on:
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Answer
Find out the how much does one apple cost .
To prove
Let us assume that the number of bananas be x .
Let us assume that the number of apples be y .
As given
At a greengrocer, two bananas and one apple cost $1.16 .
Than the equation becomes
2x + y = 1.16
one banana and one apple cost $0.71.
Than the equation becomes
x + y = 0.71
Subtracting x + y = 0.71 from 2x + y = 1.16
2x - x + y - y = 1.16 - 0.71
x = 0.45
Put in the equation x + y = 0.71
0.45 + y = 0.71
y = 0.71 - 0.45
y = $0.26
Therefore the cost of the one apple is $0.26 .
