Tutor profile: Aidan E.
Subtract (9x^3) + 3x + 5 from (12x^4) + (10x^3) + 11
First, write out the subtraction problem: ( (12x^4) + (10x^3) +11) - ( (9x^3) + 3x + 5) Distribute the negative: (12x^4) + (10x^3) + 11 -(9x^3) -3x -5 Add or subtract any x's that have the same exponent: (12x^4) +(x^3) +3x + 6 Which gives the final answer!
Subject: Basic Math
You have 12 yards of rope to tie around bundles of hay. Each bundle gets the same amount, and you have 30 bundles to tie. How much rope does each bundle get?
We want to find out how much rope goes around each bundle. We know there's 30 bundles to tie with only 12 yards of rope. Since those 12 yards are distributed equally to each bundle, we can divide 12 by 30. This shows us that each bundle gets 0.4 yards, or 2/5th of a yard.
The sum of six times a number less eleven and four times the same number is 87. Write an equation and then solve for the number.
Begin by identifying what's on either side of the equation, on the left we'll put the sum and on the right the total, which we know is 87. The sum we're making is six times a number, let's say "n", less one plus four times that same "n." We then express that numerically: 6n -1 + 4n = 87 To solve, start by adding the n's together: 10n - 1 = 87 Then, add 1 to both sides: 10n = 88 Finally, solve for n by dividing both sides by its coefficient of 10: n= 8.8 And the problem is solved!