Answer:
562 child tickets were sold
217 adult tickets were sold
Step-by-step explanation:
A festival charges $3 for children admission and $5 for adult admission
At the end of the festival they have sold a total number of 779 tickets for $2771
Let x represent the child ticket
Let y represent the adult ticket
x + y= 779..............equation 1
3x + 5y= 2771..........equation 2
From equation 1
x + y = 779
x= 779 -y
Substitute 779-y for x in equation 2
3x + 5y= 2771
3(779-y) + 5y= 2771
2337 - 3y + 5y= 2771
2337 +2y= 2771
2y= 2771 -2337
2y = 434
y = 434/2
y = 217
Substitute 217 for y in equation 1
x + y= 779
x + 217= 779
x = 779-217
x= 562
Hence 562 child tickets were sold and 217 adult tickets were sold
Slope is 1/2 and the y intercept is -1
Proportions are the comparison of two equal ratios. Therefore, proportional relationships are relationships between two equal ratios. So yes, it does matter.. I<span>nterval: all the numbers between two given numbers.</span>
Answer:
<em>The water is leaking at the rate of 0.0625 gal/min.</em>
Step-by-step explanation:
<u>Rate of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.
When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.
Calculating the rate at which it's leaking:
r = 0.0625 gal/min
The water is leaking at the rate of 0.0625 gal/min.
