Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3
20 brainly points asap
Answers
Hey there!
Option A.
(4 + 5) * 3^2 - 9 ÷ 3^2
= 9 * 9 - 9 ÷ 9
= 81 - 1
= 80
Thus, that answer is: [incorrect]
Option B.
4 + 5 * (3^2 - 9) + 3^2
= 4 + 5 * (9 - 9) + 9
= 4 + 5 * (0) + 9
= 4 + 5(0) + 9
= 4 + 0 + 9
= 4 + 9
= 13
Thus, that answer is also [incorrect]
Option C.
4 + 5 * 3^2(-9 ÷ 3^2)
= 4 + 5 * 3^2(-9 ÷ 9)
= 4 + 5 * 3^2(-1)
= 4 + 5 * 9(-9)
= 4 + 5(9) * -1
= 4 + 45 * -1
= 4 - 45
= -41
Thus, that answer is also [incorrect]
Option D.
4 + 5 * 3^2 - 9 ÷ 3^2
= 4 + 5(9) - 9 ÷ 9
= 4 + 45 - 9 ÷ 9
= 49 - 9 ÷ 9
= 49 - 1
= 48
Therefore, your answer is: Option D.
Good luck on your assignment & enjoy your day l!
~Amphitrite1040:)
Answer:
Option D
Step-by-step explanation:
To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).
A) [4 + 5] × 3² - 9 ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS
⇒ [9] × 3² - 9 ÷ 3²
Pull the "9" out of the parenthesis
⇒ 9 × 3² - 9 ÷ 3²
Simplify the exponents as PEMDAS
⇒ 9 × 9 - 9 ÷ 9
Multiply the first two terms in the expression as PEMDAS
⇒ 81 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 81 - 1
Finally, simplify the expression.
⇒ 80
⇒ 48 ≠ 80
B) 4 + 5 × (3² - 9) ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS.
We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.
⇒ 4 + 5 × (3² - 9) ÷ 3²
⇒ 4 + 5 × (9 - 9) ÷ 3²
⇒ 4 + 5 × (0) ÷ 3²
Pull the "0" out of the parenthesis
⇒ 4 + 5 × 0 ÷ 3²
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 0 ÷ 9
Multiply the middle two terms as PEMDAS
⇒ 4 + 0 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 0
Add the two terms in the expression as PEMDAS
⇒ 4
⇒ 4 ≠ 48
C) 4 + 5 × 3²(-9 ÷ 3²)
First, simplify the expression in the parenthesis as PEMDAS
⇒ 4 + 5 × 3²(-9 ÷ 3²)
⇒ 4 + 5 × 3²(-9 ÷ 9)
⇒ 4 + 5 × 3²(-1)
*3²(-1) can also be written as 3² × -1*
⇒ 4 + 5 × 3² × -1
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 9 × -1
Multiply the last three terms as PEMDAS
⇒ 4 + 5 × 9 × -1
⇒ 4 + (-45)
Add/Subtract the last two terms as PEMDAS
⇒ 4 - 45
⇒ -41
D) 4 + 5 × 3² - 9 ÷ 3²
Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.
⇒ 4 + 5 × 3² - 9 ÷ 3²
⇒ 4 + 5 × 9 - 9 ÷ 9
⇒ 4 + 5 × 9 - 9 ÷ 9
Multiply the second and the third terms as PEMDAS
⇒ 4 + 45 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 45 - 1
Add/Subtract the terms as PEMDAS
⇒ 4 + 44
⇒ 48
⇒ 48 = 48 ✔✔
In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.
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[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
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