Evaluate each expression is a=9, b=3, and c=1/3
a^2 ÷ 3 =

a^2 + 30 - 18 =

4b^2 · 3 =

ac ÷ (2b) =

3c ÷ (2b^2) =

if a=9, b=3, and c=1/3 then...

a^2 ÷ 3 = 9^2÷3

= 27

a^2 + 30 - 18 = 9^2+30-18

= 93

4b^2 · 3 = 4×3^2×3

= 108

ac ÷ (2b) = 9×1/3÷ (2×3)

= 1/2

3c ÷ (2b^2) = 3×1/3 ÷ (2×3^2)

= 1/18

Step-by-step explanation:

With a^2 ÷ 3, you would replace any letters with the number it says to replace it with. so, "a" would be replaced with 9, since it says that a=9. So, once your done with all of that, the equation would become, 9^2÷3.

With a^2 + 30 - 18, you would also, replace any letters with the number it says to replace it with. So, "a" would be replaced with 9, since it says that a=9. So, then after you do all of that, the equation would be, 9^2+30-18.

With 4b^2 · 3, you would do the same thing, you would replace any letters  with the number it tells you to replace it with. So, "b" would be replaced with the number, 3. And if you don't already know... when "b" turns into 3, the number doesn't become 43. When "b", gets changed to 3, it becomes 4×3. So, after all that is done, then the equation would turn into, 4×3^2×3.

With ac ÷ (2b), you would do the same thing that was done above. Start by replacing any letters with the numbers that, it says to replace it with. Which you would replace "a" with 9, "c" with 1/3, and "b" with 3. And like I said above if the letters change to a number the numbers don't just stay as numbers, they get multiplied by each other. like when you change "a" to 9 and "c" to 1/3... it becomes 9×1/3. Same thing with b, when "b" gets changed to 3... since the number 2 is right next to it... it becomes, 2×3. So, after all that is done, the equation turns out to be, 9×1/3 ÷ (2×3).

And last but not least, to solve 3c ÷ (2b^2)... To solve 3c ÷ (2b^2), you would change any letters with the numbers that it says to replace it with. Like changing "c" to 1/3, and "b" to 3. And when changing "c" to 1/3, you'd notice that since 3 is right next to "c", you would multiply them together, 3×1/3. Same thing when changing "b" to 3, you would multiply it by the number it is next to. So, it would be 2×3. So, after all of that is done the equation turns into, 3×1/3 ÷ (2×3^2).

Answer is below

Step-by-step explanation:

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