6) What are ED and FD?
1 answer:
You might be interested in
Answer:
The fraction is
Option (B) is correct.
and
Step-by-step explanation:
Let n denotes numerator and d denotes denominator of the fraction.
Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.
That is
Cross multiply , we get,
Or, ........(1)
Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4
That is
Cross multiply , We get,
.........(2)
.......(3)
Thus, from (1) and (2) , option (B) follows.
Solving equation (1) and (3) to get the original fraction using elimination method,
3n - 2d = 0 ............(1)
and 3d - 4n = 2 .........(3)
Multiply equation (1) by 3 , we get ,
9n - 6d = 0 ..........(4)
Multiply equation (3) by 2 , we get ,
-8n + 6d = 4 ..........(5)
Adding (4) and (5) , we get,
9n - 6d -8n + 6d = 4 + 0
⇒ n = 4
Put n = 4 in (1), we get
3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0 ⇒ 12 = 2d ⇒ d = 6
so, the numerator is 4 and the denominator is 6.
Thus, the fraction is
<h3>The monthly cost of cell phone is A = 40 + 0.005 m</h3>
Step-by-step explanation:
The monthly fixed charges by mobile company = $40
The cost of sending each text message = 0.05 cents
Now, 100 cents = 1 dollar
⇒ 1 cent =$
⇒ 0.05 cent s =$
Also, the number of text messages send = m
So, the cost of sending m text message = m x ( cost of 1 text )
= m x ( $ 0.0005) = 0.0005 m
Now, Total bill = Fixed rate + cost of m texts
⇒ A =$40 + $ 0.0005 m
Hence, the monthly cost of cell phone is A = 40 + 0.005 m