Tutor profile: Alison S.
Please simplify the below: 5-(4-2)^2-2*7
I'm going to write out my Order of Operations at the top so that I have them on hand while I solve. PEMDAS So let's start with P - Parentheses. 5-(4-2)^2-2*7 5-2^2-2*7 Ok, great! Next is E - Exponents 5-(4-2)^2-2*7 5-2^2-2*7 5-4-2*7 Almost there, lets go to MD - Multiply and Divide from left to right 5-(4-2)^2-2*7 5-2^2-2*7 5-4-2*7 5-4-14 Last step! AS - Add and Subtract from left to right 5-(4-2)^2-2*7 5-2^2-2*7 5-4-2*7 5-4-14 1-14 -13 We've fully simplified, and now we're all done!
Subject: Basic Math
It's Tammy's birthday and she brought in 3 pies to share with her classmates. Each pie is cut into 8 pieces. There are 19 other kids in Tammy's class besides her. If Tammy, her teacher, and all the students in the class eat 1 piece of pie, how many pieces are left over?
Let's start by figuring out how many slices of pie Tammy brought in to share with her class. There are 3 pies, and each pie has 8 slices, so let's multiply 3 times 8. 3x8=24. Ok, so there are 24 slices. Now we need to subtract how many slices will be eaten. There are 19 kids in the class, plus Tammy, plus her teacher. That makes 21. So now we can subtract slices eaten from total slices. 24-21=3. There will be 3 slices left over.
Please solve for x: 2x^2-2x-24=0
Starting out by diving both sides of the equation by 2, our problem now looks like this: x^2-x-12=0 And then using factoring to solve, our equation now looks like the below: (x-4)(x+3)=0 Ok, let's check our work now and make sure we factored correctly using the distributive approach: x^2+3x-4x-12=0 x^2-x-12=0 Great! We factored correctly, let's continue to solve. Let's set both sides of the equation equal to 0: x+3=0 x=-3 x-4=0 x=4 Now we'll plug in our answers for x back into the original problem to make sure that we didn't come up with any extraneous solutions. We'll make sure to use the correct order of operations as we check our work: 2(-3)^2-2(-3)-24=0 2(9)+6-24=0 18+6-24=0 0=0 2(4)^2-2(4)-24=0 2(16)-8-24=0 32-8-24=0 0=0 Perfect! So the answer is that x=-3 or 4
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