Statement #1: Antoine spends $35.00 per pair of shoes.
This statement is incorrect. The expression 35x represents the amount Antoine spends on shoes, but it does not provide the cost per pair of shoes.
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.
This statement is incorrect. The expression 35x represents the amount Antoine spends on shoes, but it does not provide the cost per pair of shoes.
This statement correctly interprets a part of the expression. The term 35x represents the amount Antoine spends on shoes, and it is multiplied by the number of pairs of shoes he buys, x. So, the total amount Antoine spends on shoes can be represented by the expression 35x.
76
100
54
4^2+60
(16-12)^2 = 4^2 = 16
2^2 = 4
Now, substituting the simplified values back into the original expression, we have:
16 + 5(8 + 4)/5^3 - (1+4)^2
Next, we simplify the expression within the parentheses:
8 + 4 = 12
1 + 4 = 5
So the expression becomes:
16 + 5(12)/5^3 - 5^2
Using the order of operations (PEMDAS/BODMAS), we perform the operations involving exponents:
5^3 = 125
5^2 = 25
Now, we substitute the simplified values:
16 + 5(12)/125 - 25
Multiplying 5 by 12:
= 60/125 - 25
Simplifying the fraction:
= 12/25 - 25
To subtract fractions, we need a common denominator. The common denominator is 25.
12/25 - 25/1 = (12 - 625)/25
= -613/25
Therefore, the simplified numerator is -613.
(16-12)^2 + 5(8+2^2)
Within the parentheses and exponents:
(16-12)^2 = 4^2 = 16
2^2 = 4
Now, substituting the simplified values back into the original expression:
16 + 5(8 + 4)
Simplifying within the parentheses:
8 + 4 = 12
Substituting the simplified value:
16 + 5(12)
Using the order of operations, we multiply:
16 + 60
Now, we add:
76
Therefore, the simplified numerator is 76.
(-4x-6)+(2+5x)
(x-7)+(2-4x)
-1+(x-4x)+6
-1+3x-(2x+6)