See the solution above..☝☝
HOPE THIS WILL HELP!!!
<h3>PLZZ PLZZ MARK ME BRAINLIEST!!</h3>
Answer:
Step-by-step explanation:
Let x represent Dan's age
3x be James'age
Paul 2(3x+x)=6x+2x
Suming all ages
x+3x+6x+2x=120
Solving for x
12x=120
x=10 (Dan's age)
3×=30 (James'age)
6×+2×=80(Paul's age)
C, 60 hope this helps it helped me on my test
Answer:
Ok so the area of the frame is 18*12 = 216cm^2
Let’s suppose the width of the frame is x
The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432
4x^2 + 60x + 216 = 432
4x^2 + 60x - 216 = 0
x^2 + 15x - 54 = 0
(x+18)(x-3) = 0
Therefore x = {-18,3}
Since width of the frame has to be positive, the width has to be 3cm Step-
i hope i helped!
Answer:
The first four terms of the series are

= 14.25
Step-by-step explanation:
We know that
Sum of convergent series is also a convergent series.
We know that,

If the common ratio of a sequence |r| <1 then it is a convergent series.
The sum of the series is 
Given series,


The first four terms of the series are

Let
and 
Now for
,


It is a geometric series.
The common ratio of
is
The sum of the series



=10.5
Now for 


It is a geometric series.
The common ratio of
is
The sum of the series



=3.75
The sum of the series is 
= 
=10.5+3.75
=14.25