Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k = 
= 
= 3
Use x+2y=8
Subtract 2y to make
x=8-2y
Plug this in to the other equation
3(8-2y)+2y=6
Distribute the 3
24-6y+2y=6
Combine like terms
24-4y=6
Solve
18/4=y, 9/2=y
Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1
Answer:
60 : 28, 90 : 42, 120 : 56, 150 : 70
here are some of the ratios equivalent to 30:14
give me brainliest please
multiple 30:14 or divide it by 2 to get the equivalent
Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
