Answer:
Distance between B and C = 
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As 
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C = 
The solution to the inequality
is 
The number line is shown in figure attached.
Step-by-step explanation:
We need to solve the inequality: 
Solving the inequality:

Divide by 3 and divide by 12

So, value of x can be less than equal to -4 or value of x is greater than equal to 3.
The number line is shown in figure attached.
The solution to the inequality
is 
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
Answer:
5/6 oz/pamphlet
Step-by-step explanation:
Find the unit rate:
7 1/2 oz 15 oz 1
--------------------- = ------------- * -------------------- = 15/18 oz/pamphlet, or
9 pamphlets 2 9 pamphlets
5/6 oz/pamphlet
Area of a triangle is,

Substitute the numbers,


The above number is the base.
Using the pythagorean method let's calculate for "c" the hypotenuse.

Substitute

Solve,

Simplify,

Calculate one last time,

The hypotenuse is 37 inches.
Answer:
Step-by-step explanation:
How many questions are on the exam? Represent this by n.
Then 40% of n comes out to 12 questions, or more symbolically,
0.40n = 12, after which we get n = 12/0.40 = 30
Answers:
(1) 0.40n = 12 is the desired equation.
(2) n = 30 is the number of questions on the exam.
(3) See above for explanations.