Answer: She should budget $672.89 monthly next year for this service.
Step-by-step explanation:
Since we have given that
Amount he was able to save per month = $48.50
Total amount he spent for the year = $1254.89
Amount he saved for the year would be

Amount left from total would be

Hence, She should budget $672.89 monthly next year for this service.
The unit fraction of 7/8 is 1/8
Option C
Math teacher would need to buy 130 prizes
<em><u>Solution:</u></em>
Given that,
Math teacher currently has 109 students and the box has 88 prizes in it
The math teacher likes to keep at least twice as many prizes in the box as she has students
So, she wants the number of prizes to be twice the number of students
Therefore,
number of prizes = 2 x 109 students
number of prizes = 2 x 109 = 218 prizes
The box has 88 prizes in it
Therefore, number of prizes she would need to buy is:
⇒ 218 - 88 = 130
Thus she would need to buy 130 prizes
Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.
Step-by-step explanation:
Given: Sharon is conducting research on two species of birds at a bird sanctuary.
The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

To plot the above function, first find points by which they are passing.
For species A, At x=0 , 
At x=2 , 
Similarly find more points and plot curve on graph.
For species A, At x=0 , 
At x=2 , 
Plot a line with the help of these two points.
Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.
Answer:
Step-by-step explanation:
We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

Standard form of equation of line = 
Given points = (7, -3) and (4, -8)
Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

[∵ (-)(-)=(+)]
Or
Hence, the required equation :-