Question

Calculate 51 + ( 6 + 3 x 2 ) ÷ 3

………………………………………
b) Work out (29 – 8) ÷ 32

………………………………………
c) Write the missing number to it correct.
6 + 5 x ………….. – 16 = 20

Answer 1

a) 55 b)=21/32 c)x=6

Explanation:

a)Follow the PEMDAS order of operations

Calculate within parentheses

(6 +3 x 2)

(6+6)

= 12

=51+ 12 ÷ 3

Multiply and divide (left to right)

12÷ 3=4

51 +4

Add and subtract (left to right)

51 + 4=55

B)

Follow the PEMDAS order of operations

29 – 8) ÷ 32

Calculate within parentheses

(29 – 8) =21

= 21 ÷32

Multiply and divide (left to right)

21 ÷32

=21/1× 1/32

=21/32

C)let the unknown be X

6+ 5× X- 16 = 20

Group like terms

5x +6- 16 = 20

Add/Subtract the numbers:

6- 16 = -10

5x - 10= 20

Add 10 to both sides

5x- 10 + 10 =20 + 10

Simplify

5x=30

Divide both sides by 5

5x/5=30/5

x=6

Answer 2

`\huge\text{Hey there!}`

`\mathsf{51 + ( 6 + 3 * 2 ) / 3}\\\\\mathsf{= 51 + (6+ 3*2)/(3)}\\\\\mathsf{= 51 + (6 + 6)/(3)}\\\\\mathsf{= 51 + (12)/(3)}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark`

`\mathsf{(29 - 8) / 32}\\\\\mathsf{= (29 - 8)/(32)}\\\\\mathsf{= (29 - 8)/(32 - 0)}\\\\\mathsf{= (21)/(32)}\\\\\mathsf{= 21/ 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark`

`\mathsf{6 + 5 * p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{(5p)/(5)= (30)/(5)}\\\text{SIMPLIFY IT!}\\\mathsf{p = (30)/(5)}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark`

`\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5* \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`