Step-by-step explanation:
x = number
3x - 15 = (x - 12)×-4 or (12-x)×-4
3x - 15 = -4x + 48 or -48 + 4x
7x = 63, x = 9 or
33 = x
The answer would be b.100 because its clearly not a right triangle
Answer:
6 tables.
Step-by-step explanation:
If he has 15 shelves, we can put the overall number of books off to the side for a moment. First calculate how many books he COULD put onto shelves. This would be 7*15, since each of fifteen shelves can hold 7 books. Counting by fifteens or using a calculator allows us to see that the shelves can hold 105 books.
Going back to the original number of books, we subtract 105 from the original value. The equation at this point is 231 - 105. The result is 126 books left to put on top of tables. But we're not done yet!
Since a table can hold 25 books, we need to divide the remaining number of books by 25. That would be 126/25. Doing this gives us 5 tables we would need, plus one book let over. Since we've run out of shelves, we MUST use another table just for the final book. That's 5+1, or 6 tables. Let's not forget to label our answer.
Answer:
(c) 45x³y
Step-by-step explanation:
Terms of a polynomial expression are separated by + or - signs. If there is only one term, there is no need to separate terms with such signs.
<h3>One term</h3>
The one-term expression is ...
45x³y
__
<em>Additional comments</em>
If the coefficient of a one-term expression is negative, there will be a leading minus sign. There won't be another term on the other side of that sign.
The given expressions appear to suffer from poor editing. Ordinarily, exponents are rendered using a superscript font, as the 3 is in the first expression. However, the second term of that expression is 1x2, which we understand to be 1x². If the 2 were intended as a multiplier, rather than an exponent, we would expect it to be combined with the coefficient 1 in that term to give (xy)³ -2x.
It is this assumption that leads us to write 45x3y as 45x³y. If that is not the intention of the given expression, it could be simplified to 135xy.
Ordinarily, if an exponent is not rendered in superscript font, we expect it to be identified by the caret (^) operator, as in 45x^3y.
41, because the ratio is the same