John was looking at his streaming music stats. the ratio of songs he liked to disliked was 5.2. If he listened to 63 songs total
1 answer:
Answer:
liked = 45 ; disliked = 18
Step-by-step explanation:
Let the number of songs he liked be x & disliked be y.
The ratio of x & y :-
And total number of songs he listened = 63
Then, x + y = 63...................eqn.1
=> x = 63 - y
Substituting the value of x in eqn. 2x = 5y gives :-
2(63 - y) = 5y
=> 126 - 2y = 5y
=> 7y = 126
=> y = 18
Substituting the value of y in eqn.1 gives
x = 63 - 18
= 45
Hence no. of songs he liked = 45 & disliked = 18
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Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle (), in square centimeters, is described by following expression:
(1)
Where:
- Width, in centimeters.
- Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle (), in square centimeters per second:
(2)
Where:
- Rate of change of the width of the rectangle, in centimeters per second.
- Rate of change of the length of the rectangle, in centimeters per second.
If we know that ,
,
and
, then the rate of change of the area of the rectangle is:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.