9514 1404 393
Answer:
1000
Step-by-step explanation:
If the number of protesters per minute remains a constant, then you could write the proportion ...
p/12 = 177/2.1
Multiplying by 12 gives ...
p = 12(177/2.1) ≈ 1011.4
Here, minutes are given to 2 significant figures, and the initial count is given to 3 significant figures. The best you can hope for is that your estimate is good to 3 significant figures:
1010 protesters
It is probably sufficient to report the number to 2 significant figures*:
1000 protesters
_____
* Unfortunately, with a number like 1000, the only way you can tell it has 2 significant figures is to report it as 1.0×10³ or 10. hundreds. The trailing zeros are usually not considered significant.
Answer:
The solution is B) (3, 1).
Step-by-step explanation:
For the system of equations given, there are few different ways to solve. Since the second equation y = 2x - 5 is already solved for 'y', we can use substitution and place the expression '2x - 5' in for 'y' in the first equation and solve:
2x - 5 + 2 = x
We can also solve for 'y' in the first equation and then set the two equations equal to each other:
y + 2 - 2 = x -2 or y = x -2 so, 2x -5 = x - 2
Either way, when we solve for 'x', we get:
2x - 3 = x or -3 = -x, so x = 3
Plugging in the value of 'x' into the second equation:
y = 2(3) - 5 or y = 6 - 5 or y = 1
The ordered pair (x, y) would be (3, 1).
Answer:
6, 12, 18, 24, 30
Step-by-step explanation:
1+2+3+4+5 = 15
90 divided by 15 is 6
6x1 = 6
6x1 = 12
6x1 = 18
6x1 = 24
6x1 = 30
Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
6,000 ÷ 15= 400; 400 × 2= 800
The answer is 800 meters
Hope this helps :)