Answer: I think its $37.84625 according to the working shown :)
Step-by-step explanation:
cost of paper= $5.79, hence 2 is 2 x 5.79= 11.58
pens= $9.25
paperclips= $2.29
calendar= $12.50
Total= 11.58+9.25+2.29+12.50= 35.62
6.25% sales tax on total purchase= 6.25/100 x 35.62= $2.22625
Adding the sales tax: 35.62+2.22625= $37.84625
100%- you can see that the line in the middle goes from 3 to 24
98
2 49
7 7
so the answer is 2 x 7 x 7, which is 2 x 7^2
VX = 204
Divide by 3 to get the 2/3 , 1/3 ratio of the segments
204/3= 68
68*2= 136
VW= 136, XW= 68
Do the same for RW, RY
RW= 104 this is 2/3 of the segment. Divide by 2.
WY= 52. RY= 156
#7
Find the midpoint of each side. (0,2) (7,4) m1=(3.5,3)
(0,3) (5,0) m2=(2.5,1.5)
(5,0) (7,4) m3=(6,2)
Draw a segment from each midpoint to its opposite vertex. The point of intersection is (4,2)
Okay. In my opinion, all the class has to do is simplify the expressions and compare. But they want to substitute instead.
Well then.
First, let's notice that these are linear expressions, meaning that if they are equivalent then all their values match up.
Number 1 is not a good one. Just because they're both positive doesn't mean anything; they have to be <em>the same.</em>
This also eliminates 3.
Number 2 is a good one, but it's not as reliable. If, for instance, the two expressions are <em>not </em>equivalent and you get lucky enough to pick that one value they intersect at (or have in common), then you'd be wrong when you say they are equivalent.
Number 4 makes the most sense because if both expressions are equivalent, then every value matches up. If not, then only one will. So having two values to substitute will most definitely answer the class question.
Hope this helps, let me know if I messed up! ;)
