Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2
Answer:
20 times
Step-by-step explanation:
The equation is...
9.5x+105=14.75x
105=5.25x
20=x
Answer:
A = 99 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
Here b = 18 and h = 11 , then
A =
× 18 × 11 = 9 × 11 = 99 cm²
Answer:
The number of wrapping paper sold was 32 and the number of magazines sold was 40
Step-by-step explanation:
Let
x ----> the number of wrapping paper sold
y ----> the number of magazines sold
we know that
The classes sold 72 items
so
----> equation A
The classes earned $222 for their school
so
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is (32,40)
see the attached figure
therefore
The number of wrapping paper sold was 32 and the number of magazines sold was 40
=> 4x = 16 - 8
=>4x= 8
=> x= 2
in short the answer is 2