Answer:
The length of rectangular panel is 6.4 cm.
Step-by-step explanation:
We are given the following information in the question:
Area of rectangular solar panel = 128 square cm
Width of panel = 20 cm
We have to find the length of the panel
Formula:
Hence, the length of rectangular panel is 6.4 cm.
This is an example of direct variation as greater would be length and breadth, the greater would be the area.
<h2>
Time required to complete the round trip where x is average velocity on the outgoing trip.</h2>
Step-by-step explanation:
Let average velocity of outgoing trip = x mph
The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.
Average velocity of return trip = (x-15) mph
Distance to vacation place = 420 miles
Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip
Distance to vacation place = Time for return trip x average velocity of return trip
We have total time T = t₁ + t₂
That is
Time required to complete the round trip where x is average velocity on the outgoing trip.
Step-by-step explanation:
Total fat in mixture is 8x+15y100 pints.
Explanation:
In a mixture of x pints of 8% butterfat, we have 8x100 pints of butter
and in y pints of 15% butterfat, we have 15y100 of butterfat.
Hence total fat in mixture is 8x+15y100 pints.
Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50