Step-by-step explanation:
Write a proportion:
3 buckets / 1 gallon = 1 bucket / x gallons
Cross multiply and solve:
3x = 1
x = 1/3
You need 1/3 of a gallon of water.
Answer:
18%
Step-by-step explanation:
= ----> cross multiply
504(100) = 2800x
50400 = 2800x
=
18 = x
Commission Rate: 18%
Answer:
Step-by-step explanation:
A+B+C+D=360
A=180 as it half of the circle
B+C+D=180
60+C+90=180
150+C=180
C=180-150=30
The fraction of the circle to region C
30/180=1/6
The equation is equivalent to 1/cos(2x)-2=sin(2x)/cos(2x). Make the denominator cos(2x) for all terms, we get 1-2cos(2x)=sin(2x). Since cos^2(2x)+sin^2(2x)=1, let cos(2x)=a, substitute sin(2x) by +-\sqrt(1-a^2), and solve the equation with only one variable a. We get a=4/5 or 0, but cos(2x) cannot be 0, otherwise sec(2x) is undefined. 2x=36.9 degrees, so x=18.9 degrees approximately.
A1 = first term
a1 = 15
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d = common difference
d = (second term) - (first term)
d = a2 - a1
d = 9-12
d = -3
The negative common difference indicates that the terms are decreasing
Each time we subtract 3, or add -3, to get the next term.
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nth term of arithmetic sequence
an = a1 + d(n-1)
an = 15 + (-3)(n-1)
an = 15- 3n + 3
an = 18 - 3n
Answer is choice D