Make slope form: y = mx + b
8y = 3x + 12
Divide by 8
Y = 3/8x + 12/8
The slope is 3/8
(a)
pavan saves = x
his 1st brother saves = x + 4
2nd brother saves = x +4
all together they save = x + x +4 + x + 4
= 3x+8
so
3x + 8 = 26
(b)
3x + 8 = 26
subtract 8 from.both side
3x + 8 - 8 = 26 - 8
3x = 18
divide by 3 both side
3x/3 = 18/3
x = 6
so pavan saves $ 6 each month
Answer:
<em>(A) $18</em>
<em>(B) 
</em>
<em>(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: 
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: 
(B)
If 
represents the number of ride tickets and 
represents the total cost, then the cost for number of ride tickets is 
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: 
(C)
In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.
And the <u>constant term is 18, which represents the cost of admission to the fair</u>.
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
