Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
There are 27 boys on the playground.
Step-by-step explanation:
No. of Pre-K children = 34
No. of kindergarten children = 29
Total no of children = 29+34 = 63
Ratio of boys to girls = 3:4
Total ratio = 3+4 = 7
Therefore,
boys proportion = 
Total number of boys = 

There are 27 boys on the playground.
Keywords: Proportion, division.
Learn more about proportion at:
#LearnwithBrainly
Answer:
m = - 1/4
Step-by-step explanation:
When two line is perpendicular to each other the product of them is - 1
So let the other line be B
Gradient of B = t
Gradient of A = 4

therefore m = - 1/4
Answer: 56
Step-by-step explanation:
4=(a+b-24)/2
32=a+b
32+24=56
Sorry it’s not that neat but I think the answer would be in the exact surd form root 233