Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
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P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15
Answer:
(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12
Step-by-step explanation:
2x² + 2x - 12 given equation
Now divide it by 2 we get,
x² + x - 6
then
x² + x - 6
x² + 3x - 2x - 6
x(x + 3) - 2(x + 3)
<em><u>(x - 2) (x + 3)</u></em>
( 5/3 + 2 2/5 ) ÷ ( 1 3/4 ) =
( 5×5/3×5 + 2 2×3/5×3 ) ÷ ( 4/4 + 3/4 ) =
( 25/15 + 2 6/15 ) ÷ ( 7/4 ) =
(25/15 + 30/15 + 6/15 ) ÷ ( 7/4 ) =
( 25 + 30 + 6 / 15 ) ÷ ( 7/4 ) =
( 61/15 ) ÷ ( 7/4 ) =
61/15 <em>×</em><em> </em><em>4</em><em>/</em><em>7</em><em> </em> =
61 × 4 / 15 × 7 =
244 / 105
Since 34 only goes into 7 four times the answer is 28 with a remainder of 6:) so basically you would could by your 7s so 7, 14, 21, 28, 35 and since 35 is too much we would have to go with 28. so then we subtract 28 from 34 and that gives us 6 left over. hoped this helped:))
9/10. make the bottom numbers the same to add fractions. you can do that by multiplying 7/10 by 10/10.
70/100 + 20/100 = 90/100
90/100 = 9/10
you can also reduce 20/100 to 2/10.
7/10 + 2/10 = 9/10