Answer:
x=2
Step-by-step explanation:
9 ^(2x-1) = 3 ^ (-x+8)
Rewrite 9 as 3^2
3^2 ^(2x-1) = 3 ^ (-x+8)
We know a^b^c = a^(b*c)
3^(2 *(2x-1)) = 3 ^ (-x+8)
3 ^ (4x-2) = 3 ^ (-x+8)
The bases are the same so the exponents are the same
4x-2 = -x+8
Add x to each side
4x-2+x = -x+x+8
5x-2 =8
Add 2 to each side
5x-2+2 = 8+2
5x = 10
Divide each side by 5
5x/5 = 10/5
x=2
Answer: 277/12
Step-by-step explanation:
Use the order of operations or pemdas (parenthesis, exponents, multiplication, division, addition, subtraction) to solve this equation:
3 / 6^2 +7 x 4 - 5
there are no parenthesis, so exponents
= 3 / 36 + 7 x 4 - 5
now multiplication and division(from left to right)
= 3 / 36 + 7 x 4 - 5
= 1/12 + 28 - 5
addition and subtraction are next(it doesn't matter the order in this case):
1/12 + 23
= 1/12 + 276/12
= 277/12
i hope this helps
Answer:
32.5%
Step-by-step explanation:
80 - 54 = $26 in the piggy bank
80/100% = 26/x%
x = 32.5%
Answer:
There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.
Step-by-step explanation:
The first one is 1100 and the second is 300
I think