N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
Answer:
All geometric figures, shapes and solids can be named as a sets of surface regions and plane regions and they all lie in three dimensional spaces.
Step-by-step explanation:
Answer:
Then, the object will take 29.11 min to travel 
Step-by-step explanation:
When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:
(equation 1)
In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:
So, now we can calculate the time using the equation 1:
And, if we want the result in minutes:
Then, the object will take 29.11 min to travel
Answer:
x^4 y^12 z^16
Step-by-step explanation:
This is the answer when its simplified.
Answer:
Step-by-step explanation:
The Lee family and the Davis family are seeing a movie together in the theater. At the concession stand, Mr. Lee paid $36 for 4 popcorns and 4 drinks that his family will share. Mrs. Davis bought 4 popcorn and 1 drink and paid $24. How much did each item cost ? Let x= price of popcorn and y= price of drinks. Explain the process, using complete sentences, how to solve for the price of popcorn and the price of a drink.
