Well this is pretty easy.
If there are 8 people, with 6 doughnuts in every box, then do 6*4 to give you 24.
If you know you multiplication (recommend practicing), then you would know that 8 is a multiple of 24. So the second step to this word problem is 24/8 to give you the final answer of:
3 doughnuts / person
<h3>3
Answers: Choice D, Choice E, Choice F</h3>
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
Answer:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
Explanation:
A figure is a rotationally symmetrical if it look the same after a given turn.
We have to analyze if the parallelogram has rotational symmetry of 180° or 270°. picture the figure rotating a given amount of degrees to see if it looks the same or not.
180 degree rotation:
We can see that the figure looks the same after a 180° rotation.
270 degree rotation:
We can see that the figure does not look the same after a 270° rotation.
So the answer will be:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
Answer:
As=0.13
Step-by-step explanation:
If we have central angle we use this rule to find area of sector :

C is central angle. r is radius.

Evaluate :

Solve the inequality , find the max possible value for the variable.
3t + 1 < t + 12
2t < 11
t < 5.5
t_max = 5.5
For the second question just solve as two separate inequalities
4 +2 < x <= 7 + 2
6 <x <= 9
x in ]6, 9]