Days in boston=x
days in colorado=1.4x
boston+colorado=2.4x
475=2.4x
475/2.4=2.4x/2.4
198=x
198*1.4=277
days in boston=198
days in colorado=277
198+277=475
The only thing you need to do is divide 56 by -7. You know the d must be a negative number because negative x negative= positive. So 56 / -7 is -8.
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.
The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³
The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³
The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min
Answer: 16.875 minutes
Hello :
f(x) = (x-5)(x+2i)
= x² +2ix -5x-10i
f(x) = x² +(2i-5)x -10i
<span>coefficients : a =1 b = 2i-5 c =-10i</span>
Answer:
The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km
Step-by-step explanation:
The given parameters from the question are;
The elevation of the meteor above the Earth's surface = 100 km
The rate at which the meteor falls = 20 km per second
The 'x' values represent the time in seconds and the 'y' values represent the meteor's height
Therefore, we have;
y = 100 - 20·x
The domain of a function is the set of inputs to the function
Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface
At the start x = 0 seconds
On the Earth's surface, y = 0, therefore;
0 = 100 - 20·x
x = 100/20 = 5
When the meteor just touches the Earth's surface x = 5 seconds
Therefore, the domain is 0 ≤ x ≤ 5.
