Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
![\frac{2}{1}=\frac{5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D%3D%5Cfrac%7B5%7D%7Bx%7D)
Now you must solve for "x" in order to find its value:
![(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5](https://tex.z-dn.net/?f=%28x%29%28%5Cfrac%7B2%7D%7B1%7D%29%3D5%5C%5C%5C%5C2x%3D5%5C%5C%5C%5Cx%3D%5Cfrac%7B5%7D%7B2%7D%5C%5C%5C%5Cx%3D2.5)
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
![x\approx2](https://tex.z-dn.net/?f=x%5Capprox2)
Additive Identity Property is the answer.
So 60% = 3/5
All you do is 3/5 x 10 = 30/5 and get 6
The mass of substance left after 7 days is 13.09 g
The mass of substance left, N is given by
N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time
Also, λ = 0.693/t' where t' = half-life of iodine = 8 days
So, λ = 0.693/t'
λ = 0.693/8
λ = 0.086625/day
Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,
N = N₀exp(-λt)
N = 24 gexp(-0.086625/day × 7 days)
N = 24 gexp(-0.606375)
N = 24 g × 0.5453
N = 13.09 g
So, the mass of substance left after 7 days is 13.09 g
Learn more about radioactive decay here:
brainly.com/question/23705307
If we multiply and then divide the number by the same thing,
we won't change its value.
Take the number: 58,000,000,000
Divide it by 10¹⁰ : 5.8
Multiply it by 10¹⁰ : 5.8 x 10¹⁰
They want a single digit, so we'll round the 5.8
to the nearest whole number:
6 x 10¹⁰ .