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:
The graph in the attached figure
Step-by-step explanation:
we have
Solve for x
The solution is the interval ------> (4,∞)
All real numbers greater than 4
In a number line, the solution is the shaded area at right of x=4 (open circle, the number 4 is not included in the solution)
see the attached figure
30 students.....14 are boys...that means (30 - 14) = 16 are girls
if 2 boys are dropped......14 - 2 = 12 boys
and 2 girls are added......16 + 2 = 18 girls
fraction of the class that are boys is : 12/30 which reduces to 2/5 <==
Answer:
The answer is y=1/3x-1
Step-by-step explanation:
m=1/3
y-y=m(x-x1)
y-(-1)=1/3(x-0)
y+1=1/3x-0
-1 -1
y=1/3x-1
