Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
Answer:
y = 2.1x +5, 21 miles
Step-by-step explanation:
We will denote miles as "x"
Since she tipped the driver $5, that is a flat rate and that will be our y-intercept. Since it costs $2.10 per mile, we need to multiply that number by the number of miles
So our equation will be y = 2.1x +5
In order to figure out how many miles Ann lives from the airport, we need to substitute y for her grand total that she was charged
This gives us 49.10 = 2.10x + 5
First we need to subtract 5 from each side to get 44.10 = 2.10x
We then need to divide both sides by 2.10 to get 21 = x
Ann drove 21 miles
Answ
$11.00
Step-by-step explanation:
A quick way to do this would be as follows: 1.10 ( 0.50*$20), or $11.00.
0.50($20) gives us the sale price (at half off); that's half of $20, or $10.
The total due is then $10 (item cost) plus $1 (tax), or $11
Answer:
The slope of the ramp is 1.
Step-by-step explanation:
See the diagram attached.
Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.
Then, EC = (15 - 10) = 5 ft.
Now, considering the right triangle Δ EDC, if 
is the inclination of the ramp, then 
Hence, 
Therefore, the slope of the ramp is 1. (Answer)
