Answer:
The height of cuboid is 3 cm
Step-by-step explanation:
Total surface area of cuboid = 
Length of cuboid = 10 cm
Width of cuboid = 2 cm
Let the height be x
Total surface area of cuboid = 
Total surface area of this cuboid is 112 cm squared
Hence the height of cuboid is 3 cm
Answer:
After 15 years the use of said machine is no longer profitable
Step-by-step explanation:
it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).
Answer:
3.1 gallons
Step-by-step explanation:
To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that
miles of gas / gallons = miles of gas / gallons
23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house
If we write the gallons needed to go to Bob's mother's house as g, we can say
23 miles / 1 gallon = 72 miles/g
multiply both sides by 1 gallon to remove a denominator
23 miles = 72 miles * 1 gallon /g
multiply both sides by g to remove the other denominator
23 miles * g = 72 miles * 1 gallon
divide both sides by 23 miles to isolate the g
g = 72 miles * 1 gallon/23 miles
= 72 / 23 gallons
≈ 3.1 gallons
Rewrite the first equation: 3y=-2x-17. The equations are coincidental and -17 is one sixth of -102 so the other coefficients need to be multiplied by 6: 18y=-12x-102.
I hope you enjoy this explanation
