Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
Answer: 2z+4/y+7
Step-by-step explanation:
We are trying to solve for x
7x-2z=4-xy
Add xy to both sides:
7x-2z+xy=-xy+4+xy= xy+7x-2z=4
Then you add 2z to both sides:
xy+7x-2z+2z=4+2z
xy+7x=2z+4
Then you factor out variable x
x(y+7)=2z+4
You divide both sides by y+7
x(y+7)/y+7= 2z+4/y+7
Which we would get x=2z+4/y+7
Answer:
an = n -27
Step-by-step explanation:
The general term (an) of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
Your sequence has a first term of a1 = -26 and a common difference of d = 1. Putting these values into the formula gives ...
an = -26 + 1(n -1)
This can be simplified to ...
an = n - 27
Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.
Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.
In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.
Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually
Answer:
9
Step-by-step explanation:
All you have to do is plug x = 2 into the equation so:
