Respuesta :
Answer:
a) 55 b)=21/32 c)x=6
Step-by-step 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
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]
[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]
[tex]\mathsf{6 + 5 \times 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{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \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[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]