Answer:
a=50 b=20
Step-by-step explanation:
Call A and B the 2 present ages.
Ten years from now, A is twice as old as B -->
(A + 10) = 2(B + 10) (1)
Five years ago, A was 3 times as old as B -->
(A - 5) = 3(B - 5) (2).
Solve the system (1) and (2).
From (2) --> A = 3B - 15 + 5 = 3B - 10.
Replace this value of A into (1) -->
3B - 10 + 10 = 2B + 20 --> B = 20. Then,
A = 3B - 10 = 60 - 10 = 50.
Check
!0 years from now --> A = 60 and B = 30 --> A = 2B .OK
5 years ago --> A = 45 and B = 15 --> A = 3B. OK
Answer:
I to 16
Step-by-step explanation:
The first point was put on one and the last was on 16
Answer:
length: 23 m; width: 11 m.
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:
l + w = 34
l - w = 12
Adding these together gives you ...
2l = 46
l = 23 . . . . . . divide by 2
Then the width is
w = 23 -12 = 11
The length and width are 23 m and 11 m, respectively.
Answer:
Hannah got $200 for her mom
Step-by-step explanation:
With the numbers in this question you don't even have to worry about percentages.
You can think of it in quarters:
75% is 3 quarters of 100%
(25% + 25% + 25% + 25%)
$150 is 3 quarters of $200
($50 + $50 + $50 + $50)
Hope this helps and isn't a confusing way of explaining it! :)
Answer:
Step-by-step explanation:
The given function is 
and we need to graph it.
In order to graph this function, we'll find below things:
Horizontal asymptote:
Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of denominator.
Horizontal asymptote is y = 1/1 = 1
Vertical asymptote:
Vertical asymptote occurs where the denominator is zero.
x-intercepts:
For x-intercept, y = 0
y-intercepts:
For y-intercept, x= 0
Using these, we can draw the graph of the rational expression.
