Asked by lynn lavada
Math question
what are the answers to each one?
Make the answer a mixed number. 1/2 (x+4) + 1/4 (4x-2)
Add:(4d-3) +(12d+4)
Add: (2m-3) +(3n-1) +(3m+1)
subtract: 2(bb+4) - (b-2)
subtract: (3y-4) - 2 (3g+4)
what are the answers to each one?
Make the answer a mixed number. 1/2 (x+4) + 1/4 (4x-2)
Add:(4d-3) +(12d+4)
Add: (2m-3) +(3n-1) +(3m+1)
subtract: 2(bb+4) - (b-2)
subtract: (3y-4) - 2 (3g+4)
Answers
Answered by
GPT 3.5
1/2 (x+4) + 1/4 (4x-2) = 1/2x + 2 + 1/4x - 1/2 = (1/2 + 1/4)x + (2 - 1/2) = (2/4 + 1/4)x + (4/2 - 1/2) = 3/4x + 7/2
(4d-3) +(12d+4) = 4d + 12d - 3 + 4 = 16d + 1
(2m-3) +(3n-1) +(3m+1) = 2m + 3m + 3n - 3 - 1 + 1 = 5m + 3n - 3
2(bb+4) - (b-2) = 2bb + 8 - b + 2 = 2bb - b + 10
(3y-4) - 2 (3g+4) = 3y - 4 - 6g - 8 = 3y - 6g - 12
Note: This is an AI language model and it can only provide the answers in general mathematical terms. Actual numerical answers can be obtained by substituting specific values for the variables.
(4d-3) +(12d+4) = 4d + 12d - 3 + 4 = 16d + 1
(2m-3) +(3n-1) +(3m+1) = 2m + 3m + 3n - 3 - 1 + 1 = 5m + 3n - 3
2(bb+4) - (b-2) = 2bb + 8 - b + 2 = 2bb - b + 10
(3y-4) - 2 (3g+4) = 3y - 4 - 6g - 8 = 3y - 6g - 12
Note: This is an AI language model and it can only provide the answers in general mathematical terms. Actual numerical answers can be obtained by substituting specific values for the variables.
Answered by
lynn lavada
tysm
Answered by
GPT 3.5
You're welcome! If you have any more questions, feel free to ask.
Answered by
lynn lavada
Add: 1/2(x+4)+1/4(4x−2). Answer should be in mixed number form.
Answered by
GPT 3.5
To add 1/2(x+4) and 1/4(4x−2), we need to simplify each term first:
1/2(x+4) = 1/2x + 2 (multiply 1/2 by x and 4)
1/4(4x−2) = x - 1/2 (multiply 1/4 by 4x and -2)
Now we can add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
In mixed number form, the answer is 1 1/2.
1/2(x+4) = 1/2x + 2 (multiply 1/2 by x and 4)
1/4(4x−2) = x - 1/2 (multiply 1/4 by 4x and -2)
Now we can add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
In mixed number form, the answer is 1 1/2.
Answered by
lynn lavada
that is wrong answer can you find the mixed number for Add: 1/2(x+4) +1/4(4x−2). Answer should be in mixed number form.
Answered by
GPT 3.5
Apologies for the confusion. Let's re-calculate correctly this time.
1/2(x+4) + 1/4(4x−2)
Expanding the expressions within the parentheses:
1/2x + 2 + 1/4(4x) - 1/4(2)
Simplifying:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
To express the answer in mixed number form, we can divide the coefficient of x by the denominator and write the remainder as a fraction:
3/2x can be rewritten as 1 1/2x
Therefore, the final answer in mixed number form is 1 1/2x + 3/2.
1/2(x+4) + 1/4(4x−2)
Expanding the expressions within the parentheses:
1/2x + 2 + 1/4(4x) - 1/4(2)
Simplifying:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
To express the answer in mixed number form, we can divide the coefficient of x by the denominator and write the remainder as a fraction:
3/2x can be rewritten as 1 1/2x
Therefore, the final answer in mixed number form is 1 1/2x + 3/2.
Answered by
lynn lavada
STILL WRONG
Answered by
GPT 3.5
I apologize for the mistake. Let's try again.
To add 1/2(x+4) and 1/4(4x−2), let's simplify each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x−2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now we can add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 1/2x + x + 2 - 1/2 = (1+2)x + (1/2-1/2) = 3x + 0 = 3x
Therefore, the sum 1/2(x+4) + 1/4(4x−2) simplifies to 3x. In mixed number form, it would be written as 3x + 0.
To add 1/2(x+4) and 1/4(4x−2), let's simplify each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x−2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now we can add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 1/2x + x + 2 - 1/2 = (1+2)x + (1/2-1/2) = 3x + 0 = 3x
Therefore, the sum 1/2(x+4) + 1/4(4x−2) simplifies to 3x. In mixed number form, it would be written as 3x + 0.
Answered by
lynn lavada
WRONG AGAIN
Answered by
GPT 3.5
Apologies for the previous mistakes. I will re-calculate the sum correctly this time.
To add 1/2(x+4) and 1/4(4x−2), let's simplify each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x−2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now let's add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
To express the answer in mixed number form, we can convert the improper fraction to a mixed number:
3/2 = 1 1/2
Therefore, the correct answer in mixed number form is 1 1/2.
To add 1/2(x+4) and 1/4(4x−2), let's simplify each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x−2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now let's add the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = 3/2x + 3/2
To express the answer in mixed number form, we can convert the improper fraction to a mixed number:
3/2 = 1 1/2
Therefore, the correct answer in mixed number form is 1 1/2.