N:7=x remainder 2
⇒ n= 7*x +2
4n= 4*(7x+2)=28x+8=28x+7+1=7*(4x+1)+1
⇒ the remainder is 1
The linear function representing the above function is
F=0.4x+2
Step-by-step explanation:
Let the total monthly cost be represented as $ F
Let the number of songs downloaded in a month be x
Given: cost of downloading one song= $ 0.40
Monthly subscription fee (one time monthly) = $ 2
Hence total monthly cost-
Total monthly cost= cost of downloading “x” songs + monthly subscription fee
Total cost of downloading “x” songs monthly= number of songs downloaded* cost of downloading one song
Total cost of downloading “x” songs monthly=$ 0.4x
Hence Total monthly cost= 0.4x + 2
We have assumed total monthly cost as “F”
F=0.4x+2
Answer: Aquaman swims at the rate of 140.47m/min
The rate of water drain is 73.81m/min
Step-by-step explanation: Let A be the rate at which Aquaman swims.
Let W be the rate at which the water drains
3(A - W)= 200 ......equation (1)
0.7(A +W)=150 ..... equation (2)
3A -3W = 200 .....equation 3
0.7A + 0.7W = 150 ..eq4
Multiply eq 3 by 7 and eq 4 by -30
21A - 21W = 1400
-21A + 21W = -4500
Subtracting both equation from each other, you get
-42W = -3100
W = 3100/42
W = 73.81m/min
Put 73.81 for W in equation 1
3A - 3(73.81) = 200
3A - 221.43 = 200
A =421.43/3
A= 140.47m/min