1. In each graph, the two lines are parallel to each other.
2. Each set of equations have the same slope.
3. Equations that have the same slope as each other will always be parallel to each other.
Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
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You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
In fraction 1/2 in decimal 2.5
Answer:
x = 0
Step-by-step explanation:
You know the answer to this because you know the identity element for addition is 0: 5 + 0 = 5.
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Or, you can make use of the addition property of equality and add -5 to both sides of the equation:
5 - 5 + x = 5 - 5
x = 0 . . . . . . . . . . simplify
Answer:
6.45
Step-by-step explanation:
Every part is 0.01 bigger or smaller
You can find it out by subtraction and then division
6.5 - 6.4 = 0.1
0.1 : 10 = 0.01
There are 10 parts that's why you divide it by 10.
If there will be 2 parts you will divide by 2
