What is the slope of the line that passes through the points 0, 2 and 4, -1.
1 answer:
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Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
Answer:
(a) or
(b) or
Step-by-step explanation:
Given
--- North Dakota
--- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
or
Because
i.e. 1 is greater than -2
or
i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:
The absolute values are:
By comparison:
or
Because
i.e. 2 is greater than 1
or
i.e. 1 is less than 2