Conceptually, you are asking for the additive inverse of 8. By definition, in fact, the additive inverse of a number 
is a number 
such that 
You obtain the additive inverse of a number by switching its sign, so the additive inverse of 8 is -8. In fact, you have
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
2x - y = -24
x + 7y = 3
Solve one equation for a variable and plug the resulting value into the second equation.
x + 7y = 3 Subtract 7y from both sides
x = -7y + 3
Now, plug that x-value into the x of the first equation.
2x - y = -24 Plug in the x-value
2(-7y + 3) - y = 24 Use the Distributive Property
-14y + 6 - y = -24 Combine like terms (-14y and -y)
-15y + 6 = -24 Subtract 6 from both sides
-15y = -30 Divide both sides by 15
y = 2
Next, plug the y-value back into the second equation.
x + 7y = 3 Plug in the y-value
x + 7(2) = 3 Multiply
x + 14 = 3 Subtract 14 from both sides
x = -11
y = 2 and x = -11
Answer:
12x² - 2x - 30
Step-by-step explanation:
(3x - 5)(4x + 6)
12x² + 18x - 20x - 30
12x² - 2x - 30
