Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
It is centered at (h,k) --> (0,0) and has a radius 9
The equation of the circle is
Hope that helps!
Answer:
<h2><u>E</u><u>k</u>sponent</h2>
![\sf{ \large{ \boxed{ \red{ {a}^{ \frac{n}{m} } = \sqrt[m]{ {a}^{n} } } } }}](https://tex.z-dn.net/?f=%20%20%5Csf%7B%20%5Clarge%7B%20%5Cboxed%7B%20%5Cred%7B%20%7Ba%7D%5E%7B%20%5Cfrac%7Bn%7D%7Bm%7D%20%20%7D%20%20%3D%20%20%5Csqrt%5Bm%5D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20%7D%20%7D%20%7D%7D)
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Answer:
It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.
Step-by-step explanation:
- One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
- Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
- Both together fill 1/2+1/3=5/6 of the bucket in one minute.
- If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
- They can fill the bucket (6/6) in 1+1/5 minute
- This is 1 minute 12 seconds
