12.) AM:MN is a 2:1 ratio. BN:AM is a 1:2 ratio. MN:AB is a 4:1 ratio.
13.) three equal parts: two-thirds m. five equal parts: four-fifths m.
Answer:
Dana would go 18 miles in 90 minutes because she is going a mile for every five minutes, so if she bikes for another forty minutes she will have biked 8 miles. This means that you would multiply 8 miles (remember its a mile per 5 minutes) by five minutes and that would give you forty. Then just add that on to the 50 minutes she has already biked.
or do it this way
To get the answer you need to find out how many miles she bikes in 10minutes.
Divide 50minutes by 10 you get 5. Now you divide 10(miles) by 5 and you get 2. So it means that in 10minutes she bikes 2miles. Now you need to know how many miles she bikes in 90minutes so if she bikes 2 in 10 then because 90:10=9 you do 2*9=18. She can bike 18miles in 90minutes. :))
Step-by-step explanation:
if this was helpful mark me as brainless
Answer:
no soution
Step-by-step explanation:
3x - 2x + 4 = 5x - 4x - 8
Combine like terms
x+4 = x-8
Subtract x from each side
x+4-x =x-x-8
4 = -8
This is never true so there is no solution
Answer:
4th choice 
Step-by-step explanation:
<u>Definition of the inverse of a function</u>
A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g
To solve for the inverse of the function 
Let 


Switch sides

Take square roots on both sides

Add 4 on both sides to solve for y

We have two solutions

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative
The third choice can also be eliminated since
is a decreasing function for
So the last answer choice is correct and the inverse of
is given by 
Answer:4th choice 
Note
Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative
Range of (x-4)² is [0, ∞)
Domain of
is [0, ∞)
Range of
is [4, ∞)
so indeed the domain of (x-4)² has become the range of
and the range of (x-4)² has become the domain of 
Answer:
Option C 
Step-by-step explanation:
we know that
the surface area of a pyramid is equal to

where
B is the area of the base
LA is the lateral area
The area of the base B is

The lateral area is equal to

the surface area is equal to
