Answer:
$20.40
Step-by-step explanation:
First of all we find the value of 10%, so we do 24 ÷ 10 which equals to 2.4, then we find the halved value of 2.4, so we do 2.4 ÷ 2 which equals to 1.2. Then we add 2.4 and 1.2 together, which then gives us 3.6 as the number. We then subtract 3.6 from 24 which gives us 20.4, but we need in money terms so we change it to $20.40. Hope this helps.
Answer:
y = 5x - 2
Step-by-step explanation:
✅Rate of change = change in y/change in x
Rate of change of the table of values using two pairs of values from the table (2, 8) and (3, 11):
Rate of change = (11 - 8)/(3 - 2) = 3/1
Rate of change = 3
✅Rate of change of the equation, y = 5x - 2.
The equation is represented in the slope-intercept form, y = mx + b.
Where, m = slope/rate of change
Therefore, rate of change if the equation would be 5.
Rate of change = 5
✔️The function that has the greater rate of change would therefore be y = 5x - 2
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.
_____
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
The answer is definitely c
