The answer is 0.154 m
Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒ V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³
Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625 / 0.405
d = 0.154 m
Let
x--------> the number of children
y------> the number of teenagers
z------> the number of adults
we know that
------> equation A
-----> equation B
-------> equation C
Substitute equation C in equation A and equation B
![2[\frac{4}{3}y]+3y+5z=1,950](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2B3y%2B5z%3D1%2C950)
--------> equation D
![[\frac{4}{3}y]+y+z=570](https://tex.z-dn.net/?f=%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2By%2Bz%3D570)
--------> equation E
Multiply equation E by 
--------> equation F
Adds equation D and equation F
therefore
<u>the answer is the option</u>
Answer:
−8.85174904 The first answer
Step-by-step explanation:
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -15 ± √((15)^2 - 4(2)(4)) ] / ( 2(2) )
x = [-15 ± √(225 - (32) ) ] / ( 4 )
x = [-15 ± √(193) ] / ( 4)
x = [-15 ± sqrt(193) ] / ( 4 )
x = -15/4 ± sqrt(193)/4
The answers are -15/4 + sqrt(193)/4 and -15/4 - sqrt(193)/4.
