Step-by-step explanation:
(4/3)–1 = 3/4 and (1/4)–1 = 4/1
now we have,
(3/4 - 4)–1 = (-13/4)–1
= -4/13
I need help myself lol XD
The service plans are illustrations of linear equations
It will take 125 minutes for the plans to have the same cost
<h3>How to determine the number of minutes</h3>
From the question, we have the following parameters
<u>Service plan 1</u>
- Monthly fee = $16
- Charges = $0.15 per minute
<u>Service plan 2</u>
- Monthly fee = $21
- Charges = $0.11 per minute
So, the linear equations for both plans are:
![y = 16 + 0.15x](https://tex.z-dn.net/?f=y%20%3D%2016%20%2B%200.15x)
![y = 21 + 0.11x](https://tex.z-dn.net/?f=y%20%3D%2021%20%2B%200.11x)
When the plans cost the same, we have:
![16 + 0.15x = 21 + 0.11x](https://tex.z-dn.net/?f=16%20%2B%200.15x%20%3D%2021%20%2B%200.11x)
Collect like terms
![0.15x - 0.11x = 21 - 16](https://tex.z-dn.net/?f=0.15x%20-%200.11x%20%3D%2021%20-%2016)
This gives
![0.04x = 5](https://tex.z-dn.net/?f=0.04x%20%3D%205)
Solve for x
![x = 125](https://tex.z-dn.net/?f=x%20%3D%20125)
Hence, it will take 125 minutes for the plans to have the same cost
Read more about linear equations at:
brainly.com/question/14323743
This is a proportion problem
Info needed: there is 36 inches in a yard
1/36= x/18
Cross multiply and divide
18 x 1= 18
18 divided by 36= .5 or 1/2
Answer is 1/2
You could have also known that 18 inches was half of 36 inches. Which 36 inches equals one yard
1,200mm is smaller than 12m because 1 mm equals 0.001 meter