Answer:
82/9= 9 1/9(mixed number
Step-by-step explanation
This is the answer because you multiply 1/3 twice which gives you 1/9.
Then you multiply 3 twice as well which gives you 9, so now you add 1/9+9=82/9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 82 and 9. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
82 over 9
82
9
=
9 and 1 over 9
9
1
9
Answer:
5.12 minutes ≈ 5 minutes 7.2 seconds
Step-by-step explanation:
The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
- 25x +27y = 0
- 27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
_____
The attached graph shows the geometry of the problem.
Billy can do 4 hours which is 1000 pictures
and Sandy 3 1/15 hours 500 pictures and 1/15 is 50.
Let me know if I'm wrong
Hope this helps
Answer:
AB=5.83
Step-by-step explanation:
Distance Formula=
Plugging our values in, we get:
And if we solve it like this:
We end up with:
Which is about 5.83
Answer:
There are 21 twenties and 8 fifties in the drawer.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of twenties
y is the number of fifties.
A cash drawer contains 29 bills.
This means that x + y = 29.
The total value of the bills is $820.
This means that 20x + 50y = 820.
So
x + y = 29
20x + 50y = 820
From the first equation, x = 29 - y. So:
20x + 50y = 820
20(29 - y) + 50y = 820
580 - 20y + 50y = 820
30y = 240
y = 8
And
x = 29 - y = 29 - 8 = 21
There are 21 twenties and 8 fifties.
