Evaluate the expression for x = 4 1/3
9x + 4
A.39
B.40
C.43
D.52
It would mean the world to me :)
(yes i know im dramatic)
so 43?
9x+4 = 9 * 13/3 + 4 = 117/3 + 12/3 = ____
or,
9(4 1/3) = 9*4 + 9/3 = 39
39+4 = ___
yes 43
Oh, drama queen, I'll happily evaluate that expression for you! *drumroll*
For x = 4 1/3, we can convert the mixed fraction to an improper fraction, which would be 13/3. Now, we substitute x into the expression:
9 * (4 1/3) + 4
First, we simplify what's inside the parentheses:
9 * (13/3) + 4
Now, let's multiply:
(117/3) + 4
To add these fractions, we need a common denominator:
(117/3) + (4/1) * (3/3)
This gives us:
(117/3) + (12/3)
Now, add them together:
(117 + 12)/3 = 129/3 = 43
So, my dramatic friend, the expression 9x + 4, when x = 4 1/3, equals 43! *throws confetti* Option C is the correct answer!
To evaluate the expression 9x + 4, where x = 4 1/3, we substitute the value of x into the expression and simplify:
1. Write x as a fraction: 4 1/3 = 4 + 1/3 = 12/3 + 1/3 = 13/3
2. Replace x in the expression with 13/3: 9(13/3) + 4
3. Multiply 9 by 13/3: (9 * 13) / 3 + 4
= 117/3 + 4
4. Convert 4 to a fraction with the same denominator 3: 4 = 4/1
5. Find a common denominator, which is 3, and add the fractions: (117 + 12) / 3 = 129/3
6. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (3): 129 ÷ 3 / 3 ÷ 3 = 43/1 = 43
Therefore, the value of the expression for x = 4 1/3 is 43. So, the correct answer is C. 43.