Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
Answer:
L.C.M of 15 and 30 is 30.
Answer:
6 inches
Step-by-step explanation:
Area = (base1 + base2)/2 · height
base1 = b
base2= 8
height = 3
Area = 21
21 = (b+8)/2 ·3
21 = 3(b+8)/2
multiply both sides by 2
42 = 3(b+8)
divide both sides by 3
14 = b+8
subtract 8 from both sides
b = 6 in
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at 
We have to look at the definition, and see which definition includes
. The equal sign at
is on the second definition, that is:

Thus, at
, the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003
Answer:
The system of inequalities that represents this situation will be:


Step-by-step explanation:
- Let 'f' represent the first number
- Let 's' represent the second number.
Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.
- so the inequality would be: f + s < 10
Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.
- so the inequality would be: f-s > 3
Thus, the system of inequalities that represents this situation will be:

