Answer:
width=16
length=38
Step-by-step explanation:
perimeter of a rectangle=2(length+width)
108/2=length+ width
54=length+ width
54-width=length
also:
length-6= 2×width
length=2width +6
now you can put the length we found, in the second equation:
54-width=2width+6
54-6=2width+width
48=3width
width=16
now do the exact same thing with one of the equations we created in the beginning.
either this:
54-width=length
or this:
length=2width +6
as the 1st one is simpler, I use that:
54-(16)=length
length=38
Answer:
20 cubic miles = 5.0872E+15 cubic inches
Step-by-step explanation:
it's a big number. hope this helps!
Step-by-step explanation:
3.25÷2=1.625
19.5÷1.625=12
Answer:
x = -14
Step-by-step explanation:
Simplifying
7x + 156 = 9x + 184
Reorder the terms:
156 + 7x = 9x + 184
Reorder the terms:
156 + 7x = 184 + 9x
Solving
156 + 7x = 184 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
156 + 7x + -9x = 184 + 9x + -9x
Combine like terms: 7x + -9x = -2x
156 + -2x = 184 + 9x + -9x
Combine like terms: 9x + -9x = 0
156 + -2x = 184 + 0
156 + -2x = 184
Add '-156' to each side of the equation.
156 + -156 + -2x = 184 + -156
Combine like terms: 156 + -156 = 0
0 + -2x = 184 + -156
-2x = 184 + -156
Combine like terms: 184 + -156 = 28
-2x = 28
Divide each side by '-2'.
x = -14
Simplifying
x = -14
Answer:
Step-by-step explanation:
In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio between successive terms in the sequence.
n represents the number of terms in the sequence.
From the seies shown,
a = 28
r = 98/28 = 343/98 = 3.5
The formula representing the nth term of the given sequence would be expressed as
Tn = 28 × (3.5)^(n - 1)
