<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:
Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x
-2x = -4 -8 = 2x
x = 2 -4 = x
Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.
Aaron made the error when he subtracted 3x.
Stephen made the error when he added 2.
Stephen made the error when he subtracted 5x.
answer:
</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.
For the first one we will use the Law of Sines. First off, though, we need to find angle C's measure. By the Triangle Angle-Sum Theorem, the angles of a triangle all add up to equal 180. Therefore, angle C is 180-15-20 which is 145 degrees. Now we will set up the Law of Sines ratios.

. Solving for BC, we have

and on our calculators we find that BC is 4.5, last choice above. For the second one, the sin ratio is the side opposite the reference angle over the hypotenuse. The cos ratio is the side adjacent to the reference angle over the hypotenuse. The side opposite angle R is r, and the hypotenuse is q, so the sin R = r/q. For the cos P, the side adjacent to angle P is r, and the hypotenuse is q, so the cos P = r/q. Obviously, those 2 ratios are the same, so your choice is the very first one given.
Answer:
c. 84 time pi m squared
Step-by-step explanation:
Formula for volume of a cone: pi times radius squared times height divided by 3
for this you don't need to multiply by pi so it's
12 and radius is 6
6 squared times 7/3
36 times 7/3
83.99999
rounded to 84 time pi m squared
He should only reduce the lemon not the water because that would only make less lemonade so the ratio could be 2:1