An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
So square feet is area which is legnth times width or area=lw or a=lw
width=w=2 2/4
2/4=1/2
w=2 1/2=5/2
a=lw
11 11/16=187/16
187/16=l(5/2)
multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)
374/80=legnth
simplify
374/80=187/40=4 27/40=legnth
legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit
To solve 10x-35+3ax=5ax-7a, we'll need to assume that a is a constant and that we are to solve for the variable x. To accomplish this, group all the x terms together on one side and all of the no-x terms on the other:
10x + 3ax - 5ax = -7a + 35
Factoring x out of the left side, we get:
x(10 - 2a) = 7(5 - a). Dividing both sides by (10 - 2a), we get:
7(5 - a)
x = ------------ = 7/2
2(5 - a)
x has the value 7/2.
Answer:
It is 60.
Step-by-step explanation:
When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length. This means if the scale factor is 2, then you multiply it by 2. 2 multiplied by 30 equals 60.
