Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = 
← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
It’s not a good idea to beg
Answer:
x = 19°
Step-by-step explanation:
Given that < (6x + 1)° + < (3x + 8)° are supplementary angles whose sum = 180°
6x + 1 + 3x + 8 = 180°
Add common terms:
9x + 9 = 180°
Subtract 9 from both sides:
9x + 9 - 9 = 180° - 9
9x = 171°
Divide both sides by 9 to solve for x:
x = 19°
They will have the same amount of money after 7 weeks.
We first set these equal to each other:
36+4x=x²+15
We want to gather all of the variables on one side. Subtract 4x from both sides:
36+4x-4x=x²+15-4x
36=x²-4x+15
We want the equation to be equal to 0 to solve it, so subtract 36 from both sides:
36-36=x²-4x+15-36
0=x²-4x-21
We can factor this expression. We want factors of -21 that sum to -4; -7(3)=-21 and -7+3=-4:
0=(x-7)(x+3)
Using the zero product property, we know that x-7=0 or x+3=0; this means x=7 or x=-3. Since a negative number of weeks makes no sense, the answer is 7 weeks.
This is what I have but it doesn't match with your answers
