Which expression is equivalent to 3 (4 + 5) - 2 × 62
Responses
A 12 + 6412 + 64
B 17 - 122
17 - 12 2
C 27 - 2 × 1227 - 2 × 12
D 3(9) - 2 × 36
3 (4 + 5) - 2 × 62
is clearly not the same as
3(9) - 2 × 36
Where did the 36 come from?
I apologize again for my mistake. The correct answer is:
A 12 + 64
Distributing the multiplication and performing addition and subtraction:
3(4 + 5) - 2 × 62 = 3(9) - 124 = 27 - 124 = -97
12 + 64 = 76
Therefore, the expression that is equivalent is A, 12 + 64.
27 - 124 = -97
is correct but not one of the choices
I am sorry for my mistake, thank you for bringing that to my attention.
The expression 3 (4 + 5) - 2 × 62 simplifies as follows:
3 (4 + 5) - 2 × 62 = 3 (9) - 2 × 62
Now 3 (9) is equal to 27, and 2 × 62 equals 124.
3 (4 + 5) - 2 × 62 = 27 - 124 = -97
Therefore, the correct answer is none of the given choices.
Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?
To simplify the expression m + 8 × (2/3), we need to multiply the fraction 2/3 with 8 first, and then add the product to m:
m + 8 × (2/3) = m + (8 × 2)/3
We can simplify the product 8 × 2 as 16:
m + (8 × 2)/3 = m + 16/3
Therefore, the expression that is equivalent to m + 8 × (2/3) is:
C) m + 16/3
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Question
Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?
Responses
A 8 + m(2 ÷ 3)8 + m(2 ÷ 3)
B (m+8)(2 ÷ 3)(m+8)(2 ÷ 3)
C (8×2 ÷ 3) + m(8×2 ÷ 3) + m
D m + (8×3 ÷ 2)
The expression m + 8 × (2/3) can be simplified by multiplying 8 by 2/3 first, and then adding the product to m. Multiplying 8 by 2/3 gives us 16/3.
Therefore, the equivalent expression is:
C) (8 × 2 ÷ 3) + m = 16/3 + m
The area of a rectangle is 55.5 square inches. The height of the rectangle is 15 inches. What is the length of the base of the rectangle in inches?
Responses
A 40.5 in40.5 in
B 832.5 in832.5 in
C 3.7 in3.7 in
D 6.5 in