Answer:
The number of wreaths Alaina sells is 9 .
Step-by-step explanation:
As given
Alaina is selling wreaths and poinsettias for her chorus fundraiser.
Wreaths cost $27 each poinsettia cost $20 each.
If she sold 15 poinsettias and made $543.
Let us assume that the number of wreaths Alaina sells = x
As the number of poinsettias Alaina sells = 15
Than the equation becomes
27x + 15 × 20 = 543
27x + 300 = 543
27x = 543 - 300
27x = 243

x = 9
Therefore the number of wreaths Alaina sells is 9 .
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Answer:
A score between 79 to 100
Step-by-step explanation:
As the average is not a simple number but a range between 79 and 86 you need to make a decision on what average number to choose, for example we can choose the 79 or 86
First we choose 79
Then (test1+test2+test3)/3=79
(75+83+test3)/3=79
75+83+test3=237
Test3=237-75-83
Test3=79
Second we choose 86
(test1+test2+test3)/3=86
(75+83+test3)/3=86
75+83+test3=258
Test3=258-75-83
Test3=100
According to this you need a score in the range from 79 to 100 to have a test average between 79 to 86
Answer:

Step-by-step explanation:
Find the diagram to the question attached.
The standard equation of a line in point-slope form is expressed as:
where:
m is the slope of the line
is coordinate point on the line
First is to get the slope of the line.

If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)

Hence the slope is -3
Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)

Hence the equation of the line in point-slope form is 