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AlladinOne [14]
3 years ago
8

the area of a rectangular patio is 5 5/8 square yards, and its length is 1 1/2 yards. what is the width in yards

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0
Area=legnth times width
area=5 and 5/8
legnth=1 and 1/2
convert all to imporopoer fractions
5 and 5/8=5+5/8=40/8+5/8=45/8
1 and 1/2=1+1/2=2/2+1/2=3/2


area=45/8
legnth=3/2

area=legnth times width
45/8=3/2 times width
multiply both sides by 2/3 to clear fraction (3/2 times 2/3=6/6=1 and 1 times width=width so)
90/24=width
simplify
15/4=width
15/4=12/4+3/4=3+3/4=3 and 3/4


width=3 and 3/4 yards

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Bill began his diet when he weighed 268 pounds. After 4 weeks he weighed 250 pounds. Write an equation in slope-intercept form o
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An equation in slope-intercept form of the line

p=-\frac{9}{2}w+268\\

Given :

Bill began his diet when he weighed 268 pounds.

After 4 weeks he weighed 250 pounds

Lets 'w' represents weeks and 'p' represents pounds

Using the given information ,we find two points (w,p)

Bill began his diet when he weighed 268 pounds.

when w=0 , weight in pounds =268

(0,268)

After 4 weeks he weighed 250 pounds, so point is (4,250)

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m=\frac{y_2-y_1}{x_2-x_1} =\frac{250-268}{4-0} =-\frac{9}{2}

now use slope m and any one point (0,268) to write equation

y=mx+b\\y=-\frac{9}{2}x+b\\(0,268) where x=0  and y=268\\268=-\frac{9}{2}(0)+b\\\\b=268

we know that w represents weeks and p represents pounds

The equation of the line in slope intercept form is

p=-\frac{9}{2}w+268\\

Learn more :  brainly.com/question/986503

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