X is the bottom and y is the left side an it should be straight
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Plates are $2.80
Cups are $1.40
Answer:
10
Step-by-step explanation:
Sec^2x+csc^2x=sec^2xcsc^2x
Divide both sides by csc^2x
sec^2x+(csc^2x/csc^2x)=sec^2xcsc^2x/csc^2x
sec^2x=sec^2x
Divide both sides by sec^2x
0=0 which is a true statement.
Hope this helps :)
Answer:
Correct answer: a = 3 · 4⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
Geometric sequence 3, 12, 48, 192, .....
First term a₁ = 3
Second term a₂ = 12
Third term a₃ = 48
Common ratio or quotient:
q = a₂ / a₁ = a₃ / a₂ = 12 / 3 = 48 / 12 = 4
q = 4
First term a₁ = 3
Second term a₂ = a · q
Third term a₃ = a₂ · q = a₁ · q²
Fourth term a₄ = a₃ · q = a₁ · q³
......................................................
n- th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
In this case aₙ = 3 · 4⁽ⁿ ⁻ ¹⁾
God is with you!!!
