Answer:
5 days
Step-by-step explanation:
1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2
Answer:
Before Tim ate any of the jellybeans, here are numbers:
pineapple or p =10
raspberry or r = 10
orange or o = 10
Tim has eaten 6 orange and 4 pineapple jellybeans. Hence, what's left are:
p = 10-4 =6
o = 10-6 =4
r = 10 so now total jelly beans are 20
So the probability of getting a raspberry is:
p(r) = number of r/total
10/20 or 50%
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Tan^-1 (27/48)
x ≈ 29.36°
hope this helps!