Hey there! I'm happy to help!
To find the distance between two numbers, you simply subtract them!
-18--4
-18+4 (two negatives makes a positive)
-14.
Have a wonderful day! :D
A proportional fraction to 1/4
1 * 1 1
- = -
4 * 4 16
Also known as 1/16
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
![A\propto t](https://tex.z-dn.net/?f=A%5Cpropto%20t)
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
![54.60=k(6)](https://tex.z-dn.net/?f=54.60%3Dk%286%29)
Divide both sides by 6.
![\dfrac{54.60}{6}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B54.60%7D%7B6%7D%3Dk)
![9.1=k](https://tex.z-dn.net/?f=9.1%3Dk)
Put k=9.1 in (i).
![A=9.1t](https://tex.z-dn.net/?f=A%3D9.1t)
Substitute A=260 in the above equation.
![260=9.1t](https://tex.z-dn.net/?f=260%3D9.1t)
Divide both sides by 9.1.
![\dfrac{260}{9.1}=t](https://tex.z-dn.net/?f=%5Cdfrac%7B260%7D%7B9.1%7D%3Dt)
![28.5714=t](https://tex.z-dn.net/?f=28.5714%3Dt)
![t\approx 29](https://tex.z-dn.net/?f=t%5Capprox%2029)
Therefore, she need to work extra about 29 hours to earn an additional $260.
Answer:
Step-by-step explanation:
H
Answer:
2 ( - x + 2 )
Step-by-step explanation:
x - 3x + 2 = - 2x + 2
- 2x = 2 * - x
2 = 2 * 1
- 2x + 2 = 2 ( - x + 2 )
Hence factorized.