Answer:
To empty the aquarium it takes 26 minutes
Step-by-step explanation:
step 1
Find the volume of the aquarium
The volume of rectangular prism is
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
we have
![L=33\ in\\W=26\ in\\H=12\ in](https://tex.z-dn.net/?f=L%3D33%5C%20in%5C%5CW%3D26%5C%20in%5C%5CH%3D12%5C%20in)
substitute the given values
![V=(33)(26)(12)=10,296\ in^3](https://tex.z-dn.net/?f=V%3D%2833%29%2826%29%2812%29%3D10%2C296%5C%20in%5E3)
step 2
Divide the volume by the rate of 396 in^3 per minute
![10,296/(396)=26\ minutes](https://tex.z-dn.net/?f=10%2C296%2F%28396%29%3D26%5C%20minutes)
therefore
To empty the aquarium it takes 26 minutes
Answer:
50 minutes
Step-by-step explanation:
1/2 hour = 30 minutes
1/3 hour = 20 minutes
30 + 20 = 50 minutes
Answer:
110.01 (aprox)
Step-by-step explanation:
x + (1/x) = 5
x(x + (1/x)) = x(5)
x*x + x*1/x = 5x
x² + 1 = 5x
x² - 5x + 1 = 0
x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)
x = {5±√(25-4)} / 2
x = {5±√21} / 2
x = {5±4.5826} / 2
x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087
x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913
Comprobación:
x₁
0.2087 + 1/0.2087 = 5
0.2087 + 4.7913 = 5
x₂
4.7913 + 1/4.7913 = 5
4.7913 + 0.2087 = 5
Respuesta:
x₁
(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019
x₂
(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01
Answer:
A) false, b)true, c) true, d)false
Step-by-step explanation:
Answer:
The answer is 4 and 3/4 or 4.75.
Step-by-step explanation:
1/2 + 1/2 is equal to 1
1/4 is the same thing as 2/8 so we have four eights
3/8 is six eights since we have two on the number line
5/8 x 3 is about 1.875
7/8 is just 7/8 because there is only 1 on the number line.
add all of these fractions together and you will end up with about 4 and 3/4