Answer:
Quarters: 10
Dimes: 8
Step-by-step explanation:
Constraints
value: 0.25q + 0.10d = 3.30
count: q + d = 18
q = 18 - d
0.25(18-d) + 0.10d = 3.30
4.50-0.25d+0.10d = 3.30
4.50-0.15d = 3.30
-0.15d = -1.20
d = 8
q + d = 18
q + 8 = 18
q = 10
Check:
0.25(10) + 0.10(8) = 3.30
2.5+ 0.80 = 3.30
3.30 = 3.30
An ordered pair which makes both inequalities true is (-1, -3).
<h3>What is an ordered pair?</h3>
An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.
For ordered pair (-3, 5), we have:
y < –x + 1
5 < -(-3) + 1
5 < 3 + 1
5 < 4 (False).
For ordered pair (-2, 2), we have:
y < –x + 1
2 < -(-2) + 1
2 < 2 + 1
2 < 3 (True).
y > x
2 > -2 (True)
For ordered pair (-1, -3), we have:
y < –x + 1
-3 < -(-1) + 1
-3 < 1 + 1
-3 < 2 (True).
y > x
-3 > -1 (False)
For ordered pair (0, -1), we have:
y < –x + 1
-(-1) < -(0) + 1
1 < 1
1 < 1 (False).
y > x
-1 > 0 (False)
Read more on inequality here: brainly.com/question/27166555
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First we need to find the slope of line k. Using the slope formula, we fill in accordingly:
![m= \frac{4-1}{1-3}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B4-1%7D%7B1-3%7D%20)
. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.
Answer:
A
Step-by-step explanation:
sorrow if its wrong I need to find my glasses
Answer:
Add them up so ur answer can be right