To solve the expression 7x + y we can substitute x with 2 and y with 6.
= 7(2) + 6
= 14 + 6
= 20
Best of Luck!
Answer:
18cm
Step-by-step explanation:
We have the length of the rectangle but we need to find the width which we'll call w. Area is a, l is length.
a = l * w
20 = 5 * w
divide both sides by 5 to cancel the multiplication by 5 on the right side
4 = w
The rectangle is going to have two sides that are the length of l, and two sides that are the the length of w. We're looking for the perimiter p.
p = 2l + 2w
p = (2 * 5) + (2 * 4)
p = 18
9514 1404 393
Answer:
[211.43,216.57]
Step-by-step explanation:
1.2% of 214 is ...
0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths
Then the minimum possible value is ...
214 -2.57 = 211.43
and the maximum possible value is ...
214 +2.57 = 216.57
The range is 211.43 to 216.57.
Answer: School Y has 4 points and School X has 12 points.
Explanation:
Let the number of points School Y has be x
Let the number of points School X has be 3x
According to question, we get
So, the number of point School Y has 4.
and number of points School X has
Hence, School Y has 4 points and School X has 12 points.
<h3>
Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
