Answer:
number of laps = 5/2 = 2.5 laps
Explanation:
First, we will need to convert the minutes to seconds.
5 minutes = 5 * 60 = 300 seconds
Now, we know that she can run 1/3 of a lap in 40 seconds. To know the number of laps that she can run in 300 seconds, all we have to do is cross multiplication as follows:
40 seconds .................> 1/3 laps
300 seconds ................> ?? laps
number of laps = (300 * 1/3) / 40
number of laps = (100) / 40
number of laps = 5/2 = 2.5 laps
Hope this helps :)
Answer:
octopus
Step-by-step explanation:
thank you so muchhhhh
Answer:
19 red beads
Step-by-step explanation:
We first need to find a common denominator of 4/9, 1/5 and 1/4.
The common denominator is 180. Like in an expression, what we do to one side we have to do to the other.
Silver - 180/9 = 20 ; 20*4 = 80 so there are roughly 80 sliver beads.
Gold - 180/5 = 36 ; 36*1 = 36 so there are roughly 36 gold beads.
Blue - 180/4 = 45 ; 45*1 = 45 so there are roughly 56 blue beads.
180 - (silver+gold+blue) = red beads
180-161 = 19 red beads b/c ----->
80+36+45+19 = 180
Answer:
![y=\frac{1}{2}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-5)
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
![x-2y=6](https://tex.z-dn.net/?f=x-2y%3D6)
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
![x-2y-x=6-x\\-2y=-x+6](https://tex.z-dn.net/?f=x-2y-x%3D6-x%5C%5C-2y%3D-x%2B6)
Divide both sides by -2
![y=\frac{1}{2} x-3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x-3)
Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:
![y=\frac{1}{2}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=\frac{1}{2}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2Bb)
Plug in the given point (-6,-8)
![-8=\frac{1}{2}(-6)+b\\-8=-3+b](https://tex.z-dn.net/?f=-8%3D%5Cfrac%7B1%7D%7B2%7D%28-6%29%2Bb%5C%5C-8%3D-3%2Bb)
Add 3 to both sides to isolate b
![-8+3=-3+b+3\\-5=b](https://tex.z-dn.net/?f=-8%2B3%3D-3%2Bb%2B3%5C%5C-5%3Db)
Therefore, the y-intercept is -5. Plug this back into
:
![y=\frac{1}{2}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-5)
I hope this helps!