First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5
Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)
<span><span><span>87</span>x−<span>34</span>y=<span>72</span></span><span><span>87</span>x-<span>34</span>y=<span>72</span></span></span>To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
<span><span>Ax+By=C</span><span>Ax+By=C</span></span>Simplify each term.
Tap for more steps...<span><span><span>8x</span>7</span>−<span><span>3y</span>4</span>=<span><span>72</span></span></span>
Answer:
The answer is given below
Step-by-step explanation:
a)
Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.
6 big boxes contained 
cakes, therefore 1 big box would contain 
cakes.
Let us assume she put the other half into 14 small boxes, therefore each small box would contain 
cakes.
There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is:
Therefore Patricia baked 84 cup cakes
b)
She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5
