1. 3(6a); for a=3
2. 5d(4); for d=-2

Step-by-step explanation:

1. Solution for 3(6a)a=3 equation:

Simplifying

3(6a) * a = 3

Remove parenthesis around (6a)

3 * 6a * a = 3

Multiply 3 * 6

18a * a = 3

Multiply a * a

18a2 = 3

Solving

18a2 = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by '18'.

a2 = 0.1666666667

Simplifying

a2 = 0.1666666667

Take the square root of each side:

a = {-0.408248291, 0.408248291}

2.Solution for 5d(4)d=-2 equation:

Simplifying

5d(4) * d = -2

Reorder the terms for easier multiplication:

5 * 4d * d = -2

Multiply 5 * 4

20d * d = -2

Multiply d * d

20d2 = -2

Solving

20d2 = -2

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '20'.

d2 = -0.1

Simplifying

d2 = -0.1

Reorder the terms:

0.1 + d2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0

0.1 + d2 = 0.0

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°