3/5 mile in 1/20 hours =3 minutes . so in 1 minute he skates 1/5 of a mile . in 60 minutes he skates 12 miles . speed is 12mph
Answer:
Unit rate of people per book = 2.5
Step by step explanation:
Given:
Number of peoples = 
Number of books = 
Their ratios = 
We have to find the unit rate of people per book.
To find out the unit rate of people per book we have to divide the total number of peoples by the total number of books.
Or
For this we will follow the unitary method:
For
book there are
persons.
For
book there will be
persons.
So,
The numeric value =
=
There are 2.5 people per book and that it also the unit rate of people per book.
The answer to the question is d
Answer:
3 to 4
Step-by-step explanation:
6:8 = 3:4
Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct