Use the following example to answer the question. Antoine goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays per pair of shoes. His total spending can be modeled by the equation 35x+55y . Which of the statements correctly interprets a part of the expression? Statement #1: Antoine spends $35.00 per pair of shoes. Statement #2: Antoine spends $55.00 per pair of shoes. Statement #3: Antoine spends $35.00 in total for shoes. (1 point) Statement # correctly interprets a part of the expression.
None of the statements correctly interprets a part of the expression. The correct interpretation is that Antoine spends $35.00 per pair of shoes and $55.00 per jersey, not per pair of shoes. Thus, statement #1 is incorrect and statement #2 is incorrect. Statement #3 is also incorrect because it states that Antoine spends $35.00 in total for shoes, but that is not accurate.
Consider the expression (16−12)2+5(8+22)53−(1+4)2 . What is the simplified numerator?(1 point) Responses 54 54 42+60 4 squared plus 60 76 76 100 100
To simplify the numerator of the expression (16−12)2 + 5(8+22), we perform the operations inside the parentheses first: (16−12) = 4 and (8+22) = 30.
Plugging these values back into the expression, we have:
(4)^2 + 5(30)
Simplifying further, we have:
16 + 5(30)
Next, we evaluate the multiplication:
16 + 150
Finally, adding the two terms together, we get:
166
Therefore, the simplified numerator is 166.
Which expression correctly demonstrates the Commutative Property of Multiplication?(1 point) Responses 15⋅(x)⋅4=4⋅15⋅(x) 15 times left parenthesis x right parenthesis times 4 equals 4 times 15 times left parenthesis x right parenthesis 15⋅x⋅4=4+15+x 15 times x times 4 equals 4 plus 15 plus x x+4+15=15+4+x x plus 4 plus 15 equals 15 plus 4 plus x 15(x+4)=15(x⋅4)
The expression that correctly demonstrates the Commutative Property of Multiplication is:
15⋅(x)⋅4=4⋅15⋅(x)
This expression shows that the order of multiplication does not affect the result. The numbers 15, x, and 4 can be rearranged and the product will remain the same.
Write an equivalent expression to (a⋅b)⋅c using the Associative Property of Multiplication.(1 point)
An equivalent expression to (a⋅b)⋅c using the Associative Property of Multiplication is:
a⋅(b⋅c)
Which expression is equivalent to −3x−5 ?(1 point) Responses −1+(x−4x)+6 negative 1 plus left parenthesis x minus 4 x right parenthesis plus 6 (x−7)+(2−4x) left parenthesis x minus 7 right parenthesis plus left parenthesis 2 minus 4 x right parenthesis (−4x−6)+(2+5x) left parenthesis negative 4 x minus 6 right parenthesis plus left parenthesis 2 plus 5 x right parenthesis −1+3x−(2x+6)
The expression that is equivalent to -3x-5 is:
-1+(x-4x)+6
This expression can be simplified to
-1+(-3x)+6
which simplifies further to
-1-3x+6
and finally to
5-3x