I think that her rate per mile is 15 miniutes
4.2.
If the 2 inch side was scaled to 10.5 inches the 5 inch side would be scaled by 10.5/2 = 5.25, so would be 25.125 inches which is too big.
So the 10.5 inches is the 5 inch side on the original, and so it 10.5/5 = 2.1 times bigger.
Therefore the smaller side would be 2*2.1/= 4.2 inches.
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
Assuming the bird flew at a constant rate, it flew 205 miles in 5 hours.
6 times, with 2 sticks remaining
If you have 26 sticks and to make a square you need 4, do how many times can 4 get into 26, and i got 6.
