Answer:
=6x+20
Step-by-step explanation:
3(x+5)+(3x+5)
Solution:
=3x+15+3x+5
=6x+20
Answer:
$38.50
Step-by-step explanation:
We are told the cost of the fabric per meter, so we first need to convert 250 cm into meters.
1 meter = 100 cm
Therefore, 250 cm = 250 ÷ 100 = 2.5 meters
cost of fabric = $15.40 per meter
To calculate the total cost, mulitply the length in meters by 15.40:
2.5 x 15.40 = 38.50
Part (a)
<h3>Answer:
2(2.4+w) = 14.2</h3>
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Explanation:
L = 2.4 = length
W = unknown width
The perimeter of any rectangle is P = 2(L+W)
We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2
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Part (b)
<h3>Answer:
w = 4.7</h3>
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Explanation:
We'll solve the equation we set up in part (a)
2(2.4+w) = 14.2
2(2.4)+2(w) = 14.2
4.8+2w = 14.2
2w = 14.2-4.8
2w = 9.4
w = 9.4/2
w = 4.7
The width must be 4.7 cm.
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
