Answer:
The meal was $16.00.
Step-by-step explanation:
since the equation for finding the tip is: decimal of percent times total bill, what you want to do is isolate the bill. you do this by dividing both sides by percent and your equation is total cost = tip/percent
let's say our total equation is x.
x=3.20/0.2
x=16
Now check your work.
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Multiplying is the opposite of dividing, so that's why you multiply it by the reciprocal.
1. 1/4 ÷ 3/8 is equivalent to 1/4 × 8/3
2. 1/3 × 8/3 = ?
3. 1 × 8 = 8
4. 3 × 3 = 9
