Answer:
If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)
Step-by-step explanation:
1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
Step-by-step explanation:
To make the coefficient of x equal we can multiply both sides of (1) by 2. the answer is B
Answer:
20 miles
Step-by-step explanation:
Let x = amount charge each mile
y = total price paid
Since the Uber charged $1.10 for each mile, we multiply x by 1.1 like this 1.1x
Also, $2 were already charged so we add 2 to the total price
y = 1.1x + 2
Since the Lyft charged $0.95 for each mile, we multiply x by 0.95 like this 0.95x
Also, $5 were arleady charged so we add 5 to the total price
y = 0.95x + 5
We have to find a price where both rides match
1.1x + 2 = 0.95x + 5
Let's move the like terms to one side by subtracting 0.95x from both sides
1.1x + 2 = 0.95x + 5
-0.95x -0.95x
0.15x + 2 = 5
Now, subtract 2 from both sides
0.15x + 2 = 5
- 2 - 2
0.15x = 3
Finally, divide both sides by the coefficient, 0.15, to isolate the variable, x
0.15x/0.15 = 3/0.15
x = 20
This means they traveled 20 miles if they were to pay the same price
Answer:
IM preeetty sure the answer is x=4 and y=26 so the solution would be (4,26)
Step-by-step explanation:
hope this helps!!! <333
Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
