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:
Step-by-step explanation:
Slope of line through (5,4) and (3,7) = (7-4)/(3-5) = -1.5
Point-slope equation of line:
y-4 = -1.5(x-5)
Convert equation to standard form:
y-4 = -1.5x + 7.5
1.5x + y = 11.5
3x +2y = 23
Answer: No he is incorrect as 1 inch is equal to 4 feet.
Step-by-step explanation: 8 divided by 4 is 2.
I don't know how your teacher chooses to solve this problem (or your text) but I do it this way.
Divide 81 by 3. You get 27.
Use 27 as your middle integer and go one odd integer up and down for the other 2.
25, 27, 29
the largest would be 29.
This works because 3 of the middle number equals 81, so the middle number plus a number 2 greater and a number 2 less would still be the same as adding 3 of the same number.
Check by adding the 3 numbers.
25 + 27 + 29 = 81
Answer: They are 10 times the bigger number.
Step-by-step explanation: Dividing 5/10 by 10 gives 5/100, and doing so again gives 5/1000. Hope this helps! (Could I please have brainliest?)