9514 1404 393
Answer:
BC = 35
Step-by-step explanation:
The sum of the segments is the overall length.
AB +BC = AC
(2x +6) + (6x +5) = 51 . . . . substitute given values
8x +11 = 51 . . . . . . . . . . . . . collect terms
8x = 40 . . . . . . . subtract 11
x = 5 . . . . . . . . . divide by 8
BC = 6x+5 = 6(5) +5 . . . . . . . . use the value of x to find BC
BC = 35
Let's begin by calling Sarah's age now as X. As Ralph is 3 times as old as Sarah, X times 3 = 3X. Hence, Ralph's age is 3X. In six years, Ralph will be twice as old as Sarah. To calculate six years from now, add 6 to X for Sarah, and 6 to 3X for Ralph. As Ralph is twice as old as Sarah and we want to find the difference between the ages to calculate X, multiply X+6 by 2. You'll get 2X+12. Therefore, 2X+12=3X+6. Deduct 6 from 3X+6 as we want to isolate the variable. Because you did that to one side, you have to deduct 6 from 2X+12. Hence, now you have 2X+6=3X. X=6. Ralph's age is 3X, so 6 times 3 is 18. Ralph is 18 years old.
Answer:
8 dollars
Step-by-step explanation:
Answer:
The third one
Step-by-step explanation:
consider the following image
