Lauren31490idn
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Which of the following expressions are equivalent to 44? Select all that apply.

A. [tex]\(4(-3+15)\)[/tex]
B. [tex]\(4(4+2+5)\)[/tex]
C. [tex]\(4(7+2+3)\)[/tex]
D. [tex]\(4(8+6-2)\)[/tex]
E. [tex]\(4(-2-3+16)\)[/tex]

Sagot :

GinnyAnsweridn
To determine which of the given expressions are equivalent to 44, let's evaluate each one step by step:

1. Evaluate [tex]\( 4(-3 + 15) \)[/tex]
[tex]\[ -3 + 15 = 12 \][/tex]
[tex]\[ 4 \times 12 = 48 \][/tex]
Since [tex]\( 4(-3 + 15) = 48 \)[/tex], it is not equivalent to 44.

2. Evaluate [tex]\( 4(4 + 2 + 5) \)[/tex]
[tex]\[ 4 + 2 + 5 = 11 \][/tex]
[tex]\[ 4 \times 11 = 44 \][/tex]
Since [tex]\( 4(4 + 2 + 5) = 44 \)[/tex], it is equivalent to 44.

3. Evaluate [tex]\( 4(7 + 2 + 3) \)[/tex]
[tex]\[ 7 + 2 + 3 = 12 \][/tex]
[tex]\[ 4 \times 12 = 48 \][/tex]
Since [tex]\( 4(7 + 2 + 3) = 48 \)[/tex], it is not equivalent to 44.

4. Evaluate [tex]\( 4(8 + 6 - 2) \)[/tex]
[tex]\[ 8 + 6 - 2 = 12 \][/tex]
[tex]\[ 4 \times 12 = 48 \][/tex]
Since [tex]\( 4(8 + 6 - 2) = 48 \)[/tex], it is not equivalent to 44.

5. Evaluate [tex]\( 4(-2 - 3 + 16) \)[/tex]
[tex]\[ -2 - 3 + 16 = 11 \][/tex]
[tex]\[ 4 \times 11 = 44 \][/tex]
Since [tex]\( 4(-2 - 3 + 16) = 44 \)[/tex], it is equivalent to 44.

Thus, the expressions that are equivalent to 44 are:
[tex]\[ 4(4+2+5) \quad \text{and} \quad 4(-2-3+16) \][/tex]
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