Answer:

Step-by-step explanation:
<-- Given
<-- Distributive Property
<-- Find LCD of x-terms
<-- Combine Like Terms
<-- Add 45/8 to both sides
<-- Simplify Right Side
<-- Subtract 7 on both sides
<-- Divide both sides by 289/60
Answer:
What is the question
Step-by-step explanation:
Answer:
y = 0.5x + 1
Step-by-step explanation:
4 up, 8 right
rise over run
slope = 4/8 or 1/2
y-int = 1
Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
Answer:
The answer is 29/42
Step-by-step explanation:
First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:
Let FP be the people who predicted they'd fail
65 = 23 + FP
65 - 23 = FP
42 = FP
Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.
Let's set x as the number of people who predicted they would fail but have passed.
31 = 18 + x
31 - 18 = x
13 = x
Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:
13 + y = 42
y = 42 - 13
y = 29
Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42