Answer:
(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf
(b) density = 0.1206g/cm^3
(c) rho = 0.1206exp(8.27×10^-7P)
Step-by-step explanation:
(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf
(b) P = 9×10^6N/m^2
rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3
rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3
(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is
rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)
$ 5 is taken is off the regular price
<em><u>Solution:</u></em>
Given that, Regular price of the soccer ball is $ 25
During the sale, it is 20 percent off
Let "x" be the amount that is taken off the regular price
Regular price = $ 25
Discount = 20 percent off
Which means, 20 % of regular price is taken off
x = 20 % of regular price
x = 20 % of 25
Thus $ 5 is taken is off the regular price
386 divided by 20 is 19.3 so Greg averaged 19.3 miles per gallon.
Let's first define variables.
y: number of shares of $ 10
x: number of shares of $ 12
We write the system of equations:
10x + 12y = 210
y = 2x + 5
Solving the system:
x = 75/17
y = 235/17
Answer:
she has:
75/17 shares of $ 12
235/17 shares of $ 10
51.36 is the answer.
The equation is total=original(1+% in decimal form)