11/6 is less than. 6 only goes into 11 once,, so it'd be 11/6
Your question is very confusing but x=8 so just plug in 8 where you see X
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.
<h3>Answer:</h3>
a) l = 5 + 2w
b) P = 2(l +w) = 2(5 +2w +w)
c) w = 8 cm, l = 21 cm
<h3>Explanation:</h3>
a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:
... l = 5 + 2w
b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.
... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)
c) Substituting the given perimeter, we have ...
... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses
... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10
... 8 = w . . . . . . . . divide by 6
... l = 5 + 2·8 = 21 . . . . . find length using the formula for it
Dimensions are in centimeters, so we can write the solution as ...
- width = 8 cm
- length = 21 cm
