Answer: 8
Step-by-step explanation:
See the image
Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
Answer:
y=-3/7x+2
Step-by-step explanation:
first formula (Slope): y2-y1/x2-x1
-1-2/7-0= -3/7
second formula (point slope): y-y1=m(x-x1)
y-2=-3/7(x-0)
(distribute the -3/7)
y-2=-3/7x-0
(add 2 to both sides)
y=-3/7x+2
Answer:
b. 80
Step-by-step explanation:
