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What is the answer to 2r plus r plus 4g plus r?
4r+4g
What is an equivalent expression to (3r) plus (ar) plus (4r)?
It is (7 + a)r.
How do you keep the volume of a cylinder the same if the radius quadruples?
V = pi r^2*H & V = pi (4r)^2*h Equate pi r^(2)H= pi (4r)^2 h pi cancel down r^(2)H = (4r)^2h r^(2)*H = 16r^(2)*h 'r^(2) cancels down H= 16h h = H/16 This means is you increase the radius by '4 times' , then you reduce the height(H) by '16 times' in order to maintain the same volume.
2r plus 2s equals 50 and 2r minus s equals 17?
2r + 2s = 50 2r - s = 17 therefore 4r - 2s = 34 Add so that you can eliminate one of the variables: 2r + 2s = 50 4r - 2s = 34 ---------------- 6r + 0s = 84 Solve for r: 6r = 84 r = 14 Substitute r into one of the original equations: 2(14) + 2s = 50 28 + 2s = 50 2s = 22 s = 11 Doublecheck with the other original equation: 2(14) - 11 = 28 - 11 = 17
What is the radius of a sphere whose volume is 972 pi cubic yards?
V = 972pi cu.yds V(sph) = (4/3) pi r^(3) Hence 972pi cu.yds = (4/3) pi r^(3) Cancel doewn by 'pi' 972 = 4r^(3) / 3 Multiply bo the sidex by '3' Hence 2916 = 4r^(3) Divide both sidesx by '4' 729 = r^(3) Take the cube root of both sides 729^(1/3) = r r = 9 yds.
