Question 2

w=10, what is the answer to w+(w-12÷2^2•3)•7

73
66
23
17*

Question 3

14-3•4÷6

14
12*
6
3

Question 4---which algebraic expression represents the following:the sum of four times a number and six?

4(x+6)
4(x•6)*
4x+6
x+4•6

Where you just guessing so that somebody would just give you the answers?

All your answers are incorrect.

btw, none of the choices given in #2 and #3 are correct

no on 4). SUM

correction - your #3 answer is correct

wow really but those are my answer choices... for 2 and 3 and for 4 I was going too pick c but it said times so I thought it ment multiplication.

#2

w+(w-12÷2^2•3)•7
= 10+(10-12÷2^2•3)•7
= 10+(10-12÷8•3)•7 , exponents first
= 10+(10-9/2)•7 , division and multiplication in the order the appear
= 10 + (11/2)•7
= 10 + 77/2
= 97/2 or 48.5

To find the answer to the expressions in question 2 and question 3, we can follow the order of operations (also known as PEMDAS):

Question 2: w+(w-12÷2^2•3)•7
First, we need to simplify the expression within the parentheses:
w-12÷2^2•3

To do this, we start by performing the exponentiation:
2^2 = 4

Next, we perform the division:
12 ÷ 4 = 3

Finally, we multiply by 3:
3 • 3 = 9

Now, we substitute this simplified expression back into the original equation:
w + 9 • 7

Next, we perform the multiplication:
9 • 7 = 63

Finally, we add w and 63 to get the answer. Since w is given as 10, the final calculation is:
10 + 63 = 73

Hence, the answer to question 2 is 73.

Question 3: 14-3•4÷6
To simplify this expression, we follow the order of operations:

First, we perform the multiplication:
3 • 4 = 12

Next, we perform the division:
12 ÷ 6 = 2

Finally, we subtract 2 from 14 to get the answer:
14 - 2 = 12

So, the answer to question 3 is 12.

Question 4: Which algebraic expression represents the sum of four times a number and six?

The expression is represented by:
4(x) + 6

Here, "x" represents the unknown number. Multiplying the number by 4 gives us four times the number, and then adding 6 gives us the sum of four times a number and six.

So, the correct algebraic expression for the given question is 4(x) + 6.