Answer:
x = -5/2
Step-by-step explanation:
3 ^ ( 4x-5) = (1/27) ^( 2x+10)
Rewriting 1/27 as 3^-3
3 ^ ( 4x-5) = (3^-3) ^( 2x+10)
We know that a^b^x = a^(b*c)
3 ^ ( 4x-5) = (3) ^(-3*( 2x+10))
3 ^ ( 4x-5) = (3) ^( -6x-30)
The bases are the same so the exponents are the same
4x-5 = -6x-30
Add 6x to each side
10x -5 = -30
Add 5 to each side
10x -5+5 = -30+5
10x = -25
Divide each side by 10
10x/10 = -25/10
x = -5/2
Answer:
see below
Step-by-step explanation:
(3x+1)/2<−x+4
Multiply each side by 2 using the multiplication property of equality
3x+1 < -2x +8
Subtract 1 from each side using the subtraction property of equality
3x < -2x+7
Add 2x to each side using the addition property of equality
5x < 7
Divide each side by 5 using the division property of equality
x < 7/5
Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
Answer:
$5.75
Step-by-step explanation:
First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =
2x+7+3x=35.75=
5x=28.75
x=5.75
Answer:
11.8
Step-by-step explanation:
