9514 1404 393
Answer:
w = -2 or 8 1/3
Step-by-step explanation:
Setting the two expressions equal makes a quadratic equation:
-5 +0.6w = w(2.5 -0.3w)
0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression
3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients
(3w -25)(w +2) = 0 . . . . . . . factor
We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.
3w -25 = 0 ⇒ w = 25/3 = 8 1/3
w +2 = 0 ⇒ w = -2
The values of w that make the two expressions equivalent are -2 and 8 1/3.
Peggy completed more because more equal parts that are smaller with more shaded means it has to be more.
Answer:
54
Step-by-step explanation:
![\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%20%3D12%5Cpi%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B9%7D%20%5C%5Csurface%20area%204%5Cpi%20r%5E%7B2%7D%20%3D%204%5Cpi%20%28%5Csqrt%5B3%5D%7B9%7D%20%29%5E2%3D54.372%20%283dp%29)
Answer:
D
Step-by-step explanation:
Because 90/5=18