How can we correct the following sentence? "I, am so excited to visit boston this weekend" ! exclaimed susan
1) There is an unnecessary comma ( , ) after the 'I' at the beginning of the sentence. 2) Boston is the name of a city, which means that it is a proper noun. Proper nouns must have their first letter capitalized. 3) The exclamation point ( ! ) should be within the quotation marks (" "). 4) Susan is a persons name, and thus a proper noun. That means the 'S' in Susan should be capitalized. 5) The end of a sentence needs to be signaled by the use of a period ( . ). [ANS: "I am so excited to visit Boston this weekend!" exclaimed Susan. ]
How many moles of glucose (C6H12O6) exist in 10 g of glucose?
1) First, we need to find the molecular weight of glucose in one mole. By looking at the periodic table, we find that Carbon weighs 12 g/mol, Hydrogen weighs 1 g/mol, and Oxygen weighs 16 g/mol. From this information, we can calculate the molar mass (mass of one mole of the material) of glucose (C6H12O6) 2) Adding the weight of 6 Carbons, 12 Hydrogens, and 6 Oxygens gives us this equation: ( 6 * 12 ) + ( 1 * 12 ) + ( 6 * 16) = 180 grams in one mole of glucose, or 180 g/mol. 3) Next, use unit conversions to go from our given material amount, 10 g of glucose, to see how many moles that is. From before, we know that 1 mole of glucose weighs 180 g. (10 grams glucose) * ( 1 mole of glucose / 180 grams of glucose) = 1/18 moles of glucose. In the equation above, we wrote it s that when multiplying it out, the unit of grams of glucose will cancel out, leaving us with an answer in moles!
What would be the first step in solving this following equation for 'x'? 2(-5x + -25) = 6 + -4x
Here is how you would attack the problem! 1) Multiply the left side of the equation by 2 in order to get rid of the parenthesis ( ). [ANS: -10x - 50 = 6 - 4x] 2) We need to move all of the x components to one side of the equation. Do this by adding 10x to both sides. Remember, anything that you add to one side of the equation, you must add to another! [ANS: -50 = 6 + 14x] 3) Now that we have all the x components on one side, we need to isolate them. We can do this by subtracting the 3 from both sides. [ANS: -56 = 14x] 4) To isolate the x, we need to divide both sides by 14. [ANS: -56/14 = x] 5) Finally, we need to simplify in order to get the smallest form of x. Use long division to divide 56 by 14, and then add the negative sign in to your final answer. [ANS: -4]