To turn 
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 
. Thus, you have 
or 
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 
. If you divide both sides by 9, you get 
. When simplified, you get that 
.
Answer: 
.
Answer:
Step-by-step explanation:
Answer:
Note that both the x and y coordinates are multiplied by the SAME value, k. Given ΔDEF with center of dilation the origin (0,0) and scale factor of 2, plot ΔD'E'F'. As shown in the formula above, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinates
Step-by-step explanation:
Answer:
3/10 is orange juice.
Step-by-step explanation:
Step 1: Find the total mL in the concoction
15 + 25 + 10 = 50 mL in a fruit cocktail
Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail
15/50 = 3/10
Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39
<u>Consider the given information:</u>
<u />
- 12.25 liters per week
- Continues this for 4 weeks
<u>Equation formed with said information:</u>
Liters per week × The 4-week period
<u>Solving the equation</u>
12.25 × 4
= 49
Therefore, after the 4-week period Margie would of drank 49 liters
