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3 years ago

5

Fran is limited to watching television less than 10.8 hours per week. She has already watched 3.6 hours, and each show is 0.6 of

an hour long.
0.6x + 3.6 < 10.8

How many more shows can Fran watch this week?
A x < 7.2
B x < 12
C x < 3.6
D x < 0.6

1 answer:

Marysya12 [62]3 years ago

5 0

This answer is quite simple. 7+3=10, 6+2=8. The answer is A. 7.2. Fran can watch 7.2 more hours of television.

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The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

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If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

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Area of Rectangular field = 1440 sq. m

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We need to find which one needs to be decreased by what percentage to make it a square.

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Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

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$l\times w = 1440 \ \ \ \ equation\ 1$

Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.

framing in equation form we get;

$2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2$

Now Substituting equation 2 in equation 1 we get;

$l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0$

Now we will find the root by factorizing the same we get;

$w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\$

Now solving for each to find the value of 'w' we get;

$w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40$

So We can say that;

Width = 36 m and Length = 40 m

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We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

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Hence If Length is decreased by 10% then it would become a square.

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