The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y.
3x + 2y = 16
Given the sizes of the room, the relation should be that,
x = 2y
Solving the equation,
3(2y) + 2y = 16
y = 2
Therefore x is equal to 4 gallons.
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons.
Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
![9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}](https://tex.z-dn.net/?f=9932%3D%2819100%29r%284%29%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B9932%7D%7B19100%5Ctimes4%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D0.13%5C%20%5C%20%5C%20%5Ctext%7B%5BOn%20simplifying%5D%7D)
In percent, 
Hence, the rate of interest = 13%
Answer:
0.4545 kgs.
Step-by-step explanation:
Given that 1 kg weighs approximately 22 pounds.
i.e. 1kg= 22 lbs.
We can use this to convert lbs into kg.
22 lbs = 1 kg
Hence 1 lb = 1/22 = 0.04545 kg
Now to find out the equivalent weight for 10lbs,
we have conversion factor as 1 lb= 0.04545 kg
Hence 10 lbs = 10(0.04545) = 0.4545 kgs
Hence 10 pounds written in equivalent kgs would be0.4545 kgs.
Answer:
π/4 radians
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,
Ф = s/r.
Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.
If you divide.40 into 9 you will get 22.5 which is your answer
