Find the difference between the two times
= 4 2/5 - 2 1/4
convert each mixed number to an improper fraction
= 22/5 - 9/4
change to common denominator (20)
= 88/20 - 45/20
subtract numerators only
= 43/20
change back to mixed number
= 2 3/20
ANSWER: It took 2 3/20 hours longer to clean the bathroom.
Hope this helps! :)
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
(-4) + 8 = 4
(-----------------)
Answer: 
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
![4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)](https://tex.z-dn.net/?f=4%5Cint%5Climits%20%7Bx%7D%20%5C%2C%20dx%20%3D4%5B%5Cfrac%7B1%7D%7B2%7D%20x%5E2%5D%3D2x%5E2%2BC%3Df%28x%29)
The initial conditions say that when x = 0, the function equals 5. Let's write that down:
Therefore, the integration constant 'C' must equal 5. This means that our function is:
Answer:
Step-by-step explanation:
Given data
It costs $35 for a membership
Monthly fee is $15
Let the number of months be x
and the total cost for x months be y
Hence the expression for the cost after x months is given as:
