Answer:
see attached
Step-by-step explanation:
I find it convenient to let a graphing calculator draw the graph (attached).
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If you're drawing the graph by hand, there are a couple of strategies that can be useful.
The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:
y = 2x -4
This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.
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The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...
x/2 +y/3 = 1
The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:
0 +2y = 6
y = 6/2 = 3
and set y=0 to find the x-intercept
3x +0 = 6
x = 6/3 = 2
Plot the intercepts and draw the line through them for the graph of this equation.
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Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.
34/85%=34/0.85=40
So that's your answer.
-1/4 + f/8 = 1/2.
The LCD is 8. Rewrite this equation as -8/4 + 8f/8 = 8(1/2) and then reduce the result:
-2 + f = =4
Then f = 6.
You should check this result.
Answer:
price = x * 0.2
or
price = x * 0.454 * 0.2
Step-by-step explanation:
In this case we must know either the mass of the cake or its volume.
Given the case that we know the mass of the cake, it would be:
price = x * 0.2
where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:
price = 10 * 0.2 = 2
which means that each cake costs $ 2
Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.
price = x * 0.454 * 0.2
where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:
price = 10 * 0.454 * 0.2 = 0.908
which means that each cake costs $ 0.9