Answer:
im not good at math
Step-by-step explanation:
Danny's score at the end of the game is 30 because:
We started our with 10 points.
He loses 20 points, which brings him down to -10 points.
In the final round he earned 40 points. 40 minus the negative ten points gives us an answer of 30 points.
Answer:
If you simplify the equation, you will get, 
Step-by-step explanation:
You have to combine like terms.
and 
are like terms, so you add them together.
You need to solve a system comprised of 3 equations.
1) k+m+n=1500
2) m=3n
3) k=2n
Replace equations 2) and 3) in 1) => 2n+3n+n=1500 => 6n=1500 => n=250
By reaplacing n in 2) => m=3*250=750
In 3) => k=2*250=500
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
