Substitute y = 15x to the equation y = 25 + 12.5x:
15x = 25 + 12.5x <em>subtract 12.5x from both sides</em>
2.5x = 25 <em>divide both sides by 2.5</em>
x = 10
Substitute the value of x to the equation y = 15x:
y = (15)(10)
y = 150
<h3>
Answer: x = 10 and y = 150</h3>
Answer:
30 mph
Step-by-step explanation:
Let d = distance (in miles)
Let t = time (in hours)
Let v = average speed driving <u>to</u> the airport (in mph)
⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)
Using: distance = speed x time
![\implies t=\dfrac{d}{v}](https://tex.z-dn.net/?f=%5Cimplies%20t%3D%5Cdfrac%7Bd%7D%7Bv%7D)
Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:
![\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}](https://tex.z-dn.net/?f=%5Cimplies%20t%3D%5Cdfrac%7B18%7D%7Bv%7D%20%20%5C%20%5C%20%5Ctextsf%7Band%7D%20%5C%20%5C%20%20t%3D%5Cdfrac%7B18%7D%7Bv%2B15%7D)
We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:
![\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B18%7D%7Bv%7D%20%2B%5Cdfrac%7B18%7D%7Bv%2B15%7D%3D1)
Now all we have to do is solve the equation for v:
![\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B18%28v%2B15%29%7D%7Bv%28v%2B15%29%7D%20%2B%5Cdfrac%7B18v%7D%7Bv%28v%2B15%29%7D%3D1)
![\implies \dfrac{18(v+15)+18v}{v(v+15)}=1](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B18%28v%2B15%29%2B18v%7D%7Bv%28v%2B15%29%7D%3D1)
![\implies 18(v+15)+18v=v(v+15)](https://tex.z-dn.net/?f=%5Cimplies%2018%28v%2B15%29%2B18v%3Dv%28v%2B15%29)
![\implies 18v+270+18v=v^2+15v](https://tex.z-dn.net/?f=%5Cimplies%2018v%2B270%2B18v%3Dv%5E2%2B15v)
![\implies v^2-21v-270=0](https://tex.z-dn.net/?f=%5Cimplies%20v%5E2-21v-270%3D0)
![\implies (v-30)(v+9)=0](https://tex.z-dn.net/?f=%5Cimplies%20%28v-30%29%28v%2B9%29%3D0)
![\implies v=30, v=-9](https://tex.z-dn.net/?f=%5Cimplies%20v%3D30%2C%20v%3D-9)
As v is positive, v = 30 only
So the average speed driving to the airport was 30 mph
(and the average speed driving from the airport was 45 mph)
Answer:
Any expression doesn't have the same value
Step-by-step explanation:
<h3>1. 23-82</h3>
Subtract 82 from 23.
−59
<h3>2. 23 - (8 x 2)</h3>
Simplify each term.
Multiply 8 by 2.
23−1⋅16
Multiply −1 by 16.
23−16
Subtract 16 from 23.
7
<h3>3. (23 -8) x 2</h3>
Subtract 8 from 23.
15⋅2
Multiply 15 by 2.
30
<h2>Hope it is helpful.....</h2>
Answer:
could you translate it
Step-by-step explanation:
I would need to have the same book and go to page 73 to be able to answer it. By the way, do you have any friends that have the answer?