SOLUTION: If y varies directly as x and inversely as the square root of w, and y = 63 when x = 7 and w=8 find y when x=3 and w=18

Algebra ->  Equations -> SOLUTION: If y varies directly as x and inversely as the square root of w, and y = 63 when x = 7 and w=8 find y when x=3 and w=18      Log On


   

Question 1150086: If y varies directly as x and inversely as the square root of w, and y = 63 when x = 7 and w=8 find y when x=3 and
w=18
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+k%2A%28+x%2Fsqrt%28w%29+%29+
+63+=+k%2A%28+7+%2F+sqrt%288%29+%29+
+k+=+63%2A%28+2%2Asqrt%282%29++%2F+7+%29+
+k+=+18%2Asqrt%282%29+
--------------------------
+y+=+k%2A%28+x%2Fsqrt%28w%29+%29+
+y+=+18%2Asqrt%282%29%2A%28+x%2Fsqrt%28w%29+%29+
+y+=+18%2Asqrt%282%29%2A%28+3%2Fsqrt%2818%29+%29+
+y+=+sqrt%2818%29%2Asqrt%282%29%2A3+
+y+=+sqrt%2836%29%2A3+
+y+=+18+
-------------------
check:
+y+=+18%2Asqrt%282%29%2A%28+3%2Fsqrt%2818%29+%29+
+18+=+18%2Asqrt%282%29%2A%28+3%2Fsqrt%2818%29+%29+
+1+=+sqrt%282%29%2A%28+3%2Fsqrt%2818%29+%29+
+sqrt%2818%29+=+3%2Asqrt%282%29+
+3%2Asqrt%282%29+=+3%2Asqrt%282%29+
OK