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.

The protein that carries oxygen in our blood is called hemoglobin.