Answer:
for the first one: x = -25/3 or -8.333333
for the second one: x = 29-8y/9
Step-by-step explanation:
for the first one:
add 8 to both sides 3x=-33 + 8
simplify -33+8 to -25
divide both sides by 3
which gives you -25/3 or 8.333333
for the second one:
subtract 8y from both sides 9x=29-8y
divide both sides by 9
which gives you x= 29-8y/9
Volume ratio is 686/250 = 2.74
Area ratio is
250 yd^3
radii? First solid has vol 250 yd^3 = (4/3)*pi*r^3; find r^3 = --------------
(4/3)*pi
Then r^3 = 187.5 yd^3, and r = 5.724 yd
Second solid has vol 686 yd^3 .... Please find the radius R using precisely the same method.
Then calculate the ratio of the surface areas of the 2 solids:
Solid 1 surface area 4*pi* R^2
----------------------------- = --------------- where R is the radius of the larger
Solid 2 surface area 4*pi*r^2 solid and r is the radius of the smaller
R^2
This ratio comes out to ----------
r^2
Scale factor? Obviously one solid is larger than the other. We have to figure out by how much, by comparing volumes. Actually, we've already done that (see above). We could also determine how much larger R is than r. That, too, would give us the scale factor.
68
5 can go into 3 0 times so skip that, 5 can go into 34 6 times, put a 6 on top 6×5=30 34-30=4 bring the 0 down 5 can go into 40 8 times so put an 8 beside the 6 8×5=40 40-40=0
Hope this is understandable and helps
We could use Euler's polyhedron formula:
