A+B=15 —>A+15=B(plug this into the other equation)
60a+30b=600
60a+30(a+15)=600
60a+30a+150=600
90a+150=600
90a=450
A=5 (plug back in to first equation)
A+B=15
5+B=15
B=10
They have 5 of the Model A and 10 of model B.
The first 5 terms in an arithmetic sequence is 4,2,0,-2,-4
Explanation:
The general form of an arithmetic sequence is

where a denotes the first term of the sequence, d denotes the common difference.
Here a = 4 and d = -2
To determine the consecutive terms of the sequence, let us substitute the values for n.
To find the second term, substitute n = 2 in the formula 

Simplifying,

Similarly,
For n = 3,

For n = 4,

For n = 5,

Thus, the first 5 terms of the arithmetic sequence is 4,2,0,-2,-4
Answer:
Step-by-step explanation:
- Math session = 45 min = 3/4 hr
- French session = 30 min = 1/2 hr
- Number of math sessions = m, total math hours = 3/4m
- Number of French sessions = f, total French hours = 1/2f
<u>Total hours constraint:</u>
<u>Number of session constraint:</u>
<u>So the system is:</u>
Answer: Yes because if you add 4 squared and 7 squared you get 65. The if you use square root with 65 you will get 8.06225774. Simplify that and you get 8
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
(2,1)(4,2)
x1-y1/x2-y2
slope:m=1/2