Tutor profile: Parisa T.
Subject: Basic Math
Simplify the following expression : 8 x 4 + 6.
We must use the order of operations to simplify. This shortened by the acronym PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction). For example, exponents must be worked out before addition. 1. The first order to solve is multiplication. 8 x 4 = 32. 2. Rewrite the new expression: 32 + 6. 3 Now we add the two numbers. The final answer is 38.
From the reaction: B2H6 + O2 -----> HBO2 + H2O, convert 36.1 g of B2H6 to moles of B2H6.
1. Start with what you are given: 36.1 g B2H6. 2. Set up a molar mass conversion factor to cancel "g B2H6". We are connecting g with moles. Work: 36.1 g B2H6 * 1 mol B2H6/ __molar mass____ g B2H6 3. The molar mass of B2H6 is found by adding the total number of atoms' molar masses together. The subscripts stand for the number of atoms of each element. Therefore, we have 2 B atoms and 6 H atoms. Each B atom is 10.811 g/mol, so there are 2 * 10.811 g/mol of B in B2H6. Each H atom is 1.01 g/mol, so there are 6 * 1.01 g/mol of H in B2H6. These two numbers total to be 27.66 g/mol of B2H6. 3. The g of B2H6 cancel out. Now we simply multiply across. (36.1 * 1)/27.66, which is 1.31. Our unit is mol of B2H6, with our final answer being 1.31 mol of B2H6.
Solve for x in the following equation. x + 5 = 8
1. First, identify what is being done to the x (it is being added to 5). 2. Undo what is being done to the x on BOTH sides (subtract by 5). What is done on one side is done to the other. Our goal is to isolate the x and get it by itself. Work: 5 minus 5 is 0 and therefore we are left with x on the left side. 8 minus 5 is 3 and therefore we are left with 3 on the right side. 3. Rewrite your equation (x = 3). This is your final answer, x = 3. 4. To check your answer, plug in 3 for x in the original equation. (3) + 5 = 8. This is true and therefore correct.
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