Converting to a mixed number is the same as dividing and leaving the remainder.
Say we had 5/2...we would divide 5 by 2 and end up with 2 r1, right?
So 5/2 = 2 1/2
As for 39/3...we divide 39 by 3...and get exactly 13! There's no remainder, so you don't even need any additional fractions.
Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
Answer: See each one below:
1) Since she is paying for 30% of the cost, we multiply it by 0.3. Then, since it is over the whole year, we divide it by 12.
12304 * 0.3 / 12 = 307.6 B
2) First, we subtract the cost of the 50 deductible, then multiply the amound by 0.2 because he has to pay 20% of the balance.
1060 - 50 = 1010 x 0.2 = 202 A
3) First, we find the total cost of the visits. Mattie has to pay for 40% so times it by 0.4. Then, don't forget to add in the cost of 12 co-pays of $15 each.
3660 * 0.4 = 1464 + 15(12) = 1664 B
I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?
The answer would be $19 on eg
