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Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx.
To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
Then, plug in m to the equation to get y = (5/4)x.
Finally, plug in the y-coordinate 18 to the equation and solve for x!
Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4
Hope this helps!
To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
Then, plug in m to the equation to get y = (5/4)x.
Finally, plug in the y-coordinate 18 to the equation and solve for x!
Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4
Hope this helps!
Answer:
a) The maximum amount of water the aquarium can hold is 1728 in³.
b) The cover has to be 624 in² big.
Step-by-step explanation:
a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:
V=L×W×H=18 in × 8 in × 12 in= 1728 in³
b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:
One of them is given by the multiplication of the width and the height:
A₁= W×H= 8 in × 12 in=96 in²
The other area is given by the multiplication of the length and the height:
A₂= L×H= 18 in × 12 in= 216 in²
As the fish aquarium is rectangular the area of the walls is given by:
=2×96 in²+2×216 in²=624 in²