The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².
What type of fraction?
Mixed Fraction/Number: 1 2/5.
Improper fraction: 7/5
The length is 13 for your answer
Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.
