Add: 1/2 (x+4)+ 1/4 (4x − 2) . Answer should be in mixed number form.(1 point)

To solve this equation, you'll need to find a common denominator for the fractions. In this case, the common denominator is 4.

1/2 (x+4) can be rewritten as 2/4 (x+4), and 1/4 (4x-2) remains the same.

Now, you can combine the fractions:

2/4 (x+4) + 1/4 (4x-2)
= (2x + 8)/4 + (4x - 2)/4
= (2x + 4x + 8 - 2)/4
= (6x + 6)/4

To put this answer in mixed number form, divide the numerator by the denominator:

(6x + 6)/4 = 6/4 * x + 6/4
= 3/2 * x + 3/2

Therefore, the answer in mixed number form is 3/2x + 3/2.

Add: (4d−3)+(12d+4)

To add the expressions (4d - 3) and (12d + 4), you simply need to combine the like terms:

(4d - 3) + (12d + 4) = 4d + 12d - 3 + 4

Combining the like terms, we have:

= (4d + 12d) + (-3 + 4)
= 16d + 1

Therefore, the sum of (4d - 3) and (12d + 4) is 16d + 1.

Add: (2m−3)+(3n−1)+(3m+1) .

To add the expressions (2m - 3), (3n - 1), and (3m + 1), you need to combine the like terms:

(2m - 3) + (3n - 1) + (3m + 1)

Combining the terms with "m":
= 2m + 3m - 3 + 1 + 3n - 1

Combining the like terms of "m":
= (2m + 3m) + (-3 + 1) + 3n

= 5m - 2 + 3n

Therefore, the sum of (2m - 3), (3n - 1), and (3m + 1) is 5m - 2 + 3n.

Subtract: 2(10b+4)−(b−2) .

To simplify the expression 2(10b + 4) - (b - 2), you need to distribute the 2 and remove the parentheses:

2(10b + 4) - (b - 2)
= 2 * 10b + 2 * 4 - (b - 2)

= 20b + 8 - (b - 2)

Now, distribute the negative sign into the second set of parentheses:

= 20b + 8 - b + 2

= (20b - b) + (8 + 2)

= 19b + 10

Therefore, the simplified expression 2(10b + 4) - (b - 2) is equal to 19b + 10.

Subtract: (3g−4)−2(3g+4) .

To simplify the expression (3g - 4) - 2(3g + 4), you need to distribute the -2 and remove the parentheses:

(3g - 4) - 2(3g + 4)
= 3g - 4 - 2 * 3g - 2 * 4

= 3g - 4 - 6g - 8

Now, combine like terms:

= (3g - 6g) + (-4 - 8)

= -3g - 12

Therefore, the simplified expression (3g - 4) - 2(3g + 4) is equal to -3g - 12.

The protein that carries oxygen in our blood is known as(1 point)

Responses

anemia.
anemia.

hemoglobin.
hemoglobin.

messenger RNA.
messenger RNA.

amino acid.