Tim began with 40 comics
Further explanation:
The equation involve linear equation as there is only one object i.e. comic books
So,
Let x be the number of comic books Tim began with
Then after selling half comics Tim will have x/2 comics remaining
Now when he buys 16 more the expression will be:
He has total 36 books, then
Subtracting 16 from both sides
Multiplying 2 on both sides
<u>We can recheck, if he had 40, half of them will be 20 and adding 16 makes them 36.</u>
Tim began with 40 comics
Keywords: Equation in one variable, linear equations
Learn more about linear equations at:
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Answer:
$7.13
Step-by-step explanation:
first you must determine the monthly interest rate.
because you know the yearly interest rate is 18%, you can divide that by 12 to find the monthly interest rate. 18÷12 = 1.5%
Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter <em>A</em> is <em>altitude</em>
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter <em>B</em> is <em>angle bisector</em>
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter <em>C</em> is <em>median</em>
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter <em>D</em> (which corresponds with the circumcenter) is <em>perpendicular bisector.</em>
