Answer translate the following into an equation: a number x is decreased by 45. the result is then divided by 12. then 20 is added to this new result to give a final result of five times the difference of 32 and the number x

(This is a little difficult but I've got it)

((x - 45)/12) + 20 = 5(32 - x)

(I made the equation a little more complex than I should have but that equation should still work if you were to solve for x)

Hey there!!

Let's get this step by step

x is decreased by 45 = x - 45

Result is divided by 12 = ( x - 45 ) / 12

Then, 20 is added to the result

[ ( x - 45 ) / 12 ] + 20

Result =

Five times the difference of 32 and x = 5 ( 32 - x )

Hence, the equation

[ ( x - 45 ) / 12 ] + 20 = 5 ( 32 - x )

( x - 195 ) / 12 = 160 - 5x

Multiply 12 on both sides

x - 195 = 12 ( 160 - 5x )

x - 195 = 1920 - 60x

Add 60x on both sides and add 195 on both sides

61x = 2115

divide by 61 on both sides

x = 34.67

x = 34.7

Hence, the required answer is 34.7 this can be rounded to 35

Hope my answer helps!

probably the last option

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct