Nicole is using a ¾ cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil?

12 times

Step-by-step explanation:

Given that :

Amount of potting soil in bag = 9 cups

Size of scooping cup = 3/4 cup

The number of times scooping will be done to use entire bag of potting soil will be ;

(Amount of potting soil in bag ÷ size of scooping cup)

(9 ÷ 3/4)

9/ 1 * 4/3

= 36/3

= 12 times

Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.

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