Answer:
2.66666666667
Step-by-step explanation:
Recall your d = rt. distance = rate * time.
let's say the speed of the current is "c".
keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.
Likewise when is going with the current, is going at a speed of " 20 + c ".
if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

It would decrease. For example,
1/2 times 8 would decrease the number to 4, because we are taking a piece or fraction of the original number. Hope it helps!
Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
, this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!
Answer:
10 more students chose purple than red as their favorite color
Step-by-step explanation:
Step 1
Determine the proportion of students that chose each color
purple=26%
red=22%
Step 2
Use the expression for the number of students per color as follows;
Number of students per color=proportion per color×total number of students
for purple;
proportion that chose purple=26%
total number of students=250
replacing;
Number of students that chose purple=(26/100)×250=65 students
for red;
proportion that chose red=22%
total number of students=250
replacing;
Number of students that chose purple=(22/100)×250=55 students
Step 3
Difference=65-55=10
10 more students chose purple than red as their favorite color