Answer:
D) 52%
Step-by-step explanation:
(11+15)/(14+11+10+15) = 0.52 = 52%
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Let's make variables for two angles first. One angle will be x, and the other will be y.
Since they're supplementary, we know x + y = 180
We also know x = y - 32, since it's 32 degrees less than it's supplement.
Input the value of x into the first equation and...
y - 32 + y = 180
2y - 32 = 180
Add 32 to both sides:
2y = 212
Divide both sides by 2:
y = 106
We can solve for x in two ways.
One, we can subtract 32 from 106 since x is 32 degrees less.
Or, we could also just subtract 106 from 180 since we know the angles are supplementary.
x = 74
74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180
The discount is 15%, multiply the price y 15%:
5000 x 0.15 = 750
The discount is 750
Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
Answer:
5. a) 5b
b) 3b + 2b
Step-by-step explanation:
a) b + b + b + b + b is the same as
5 * b or 5b
b) 5b = 3b + 2b
or 3 * b + 2* b = 5b
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-Chetan K