Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Answer:
The y-intercept represents the flat fee.
Step-by-step explanation:
The y-intercept on the graph would be the point at which the line cuts across or intercepts the y-axis. At this point, the value of x (miles travelled) would be 0. The y-intercept in this case, would be the flat fee which is given as $2.
At x = 0, f(0) = 2.
The y-intercept represents the flat fee on the graph of f(x).
Total students = 28
Students with brown eyes = 19
students wear glasses = 13
Not brown eyes or no glasses = 7
Not brown eyes = 28 - 19 = 9
Not wearing glasses = 28 - 13 = 15
Not brown eyes and wearing glasses = 15 - 9 = 6
Brown eyes and wearing glasses = 13 - 6 = 7 <==== answer
♂️♂️ -15 a parallel, clarify your question
Answer:
(a) see attachment
(b) E(x) = 226/105
Step-by-step explanation: see attachment
