The system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
<h3>
Which system of equations represents this situation?</h3>
Let's define the variables:
- v = number of hours playing video games.
- h = number of hours spent on homework.
The maximum time that you can spend on both activities is 8 hours, then:
v + h ≤ 8
You want to spend less than 2 hours on video games, so:
v < 2
You want to spend at least, 1.5 hours on homework, so:
h ≥ 1.5
Then the system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
If you want to learn more about inequalities:
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Answer:5,000
Step-by-step explanation:
Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15
Answer:
it is good and people need to do math problems
Step-by-step explanation:
Answer:
462 paths from A to B
Step-by-step explanation:
The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.
The first step is to represent the grid map itself. (See attachment 1)
From the question, we understand that:
- Only right movement is allowed in the horizontal direction
- Only up movement is allowed in the vertical direction
There are a several number of ways to navigate through. However, one possible way is in attachment 2
In attachment 2,
- R represents the right movement
- U represents the up movement
And we have:
and 
The number of possible paths (N) is then calculated as:
Substitute values for N and U
<em>Hence, there are 462 possible paths from A to B</em>
