Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Step-by-step explanation:
Hi, to answer this question we have to solve the given equation: |x – 500| = 8.
The modulus can take a positive value (x - 500) or a negative value (-x+500).
- <em>For the positive value:
</em>
x -500 = 8
x = 8+500
x =508
- <em>For the negative value:
</em>
- (x -500) =8
-x +500 =8
500 -8 = x
492 =x
So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Feel free to ask for more if needed or if you did not understand something.
Divide the tip by the percentage:
3.25 / 0.20 = 16.25
The meal cost $16.25
It takes Mercury <span>approximately 58 days, 15 h, and 30 min to complete a full rotation..
We are going to write the time not in days, hours and minutes, but only hours.
This means that we have to write 58 days as hours and 30 minutes as hours.
1 day is 24 hours, so 58 days are
58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32
=1,200+192=1,392 (hours)
60 minutes are 1 hour, so 30 minutes are 0.5 hours.
Thus
</span>58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours
Answer: 1,407.5 hours
Answer:
18s+20b<_150
Step-by-step explanation:
He can buy 5 basketballs and 2 soccer balls. This equation is correct because 18x2 is 36 and 20x5 is 100. So that will be a total of $100. This makes the equation 100<_150. You can infer that this equation is true.
Answer:
369 students have taken a course in either calculus or discrete mathematics
Step-by-step explanation:
I am going to build the Venn's diagram of these values.
I am going to say that:
A is the number of students who have taken a course in calculus.
B is the number of students who have taken a course in discrete mathematics.
We have that:

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and
is the number of students who have taken a course in both calculus and discrete mathematics.
By the same logic, we have that:

188 who have taken courses in both calculus and discrete mathematics.
This means that 
212 who have taken a course in discrete mathematics
This means that 
345 students at a college who have taken a course in calculus
This means that 
How many students have taken a course in either calculus or discrete mathematics

369 students have taken a course in either calculus or discrete mathematics