Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w
subtract 21 on both sides
now solve for 'w'
0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
Answer: 11.18
Step-by-step explanation:
You’re substituting 5 for x in the equations...
Sqrt[x^2+4x^2]
Sqrt[5^2+4(5)^2]
Sqrt[25+4(25)]
Sqrt[25+100]
Sqrt[125]
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Define jam and bread mix
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Let the number of jar of jam be x
Let the number of packages of bread mix be y
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Form equations and solve
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x + y = 8 --------------------- (1)
6x + 5y = 45 ---------------- (2)
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Rewrite equation to make x the subject
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x+ y = 8
x = 8 - y ----------------------------(1a)
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Substitute (1a) into (2)
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6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3
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Substitute y = 3 into (1) to find x
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x + 3 = 8
x = 8 - 3
x = 5
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Find jam and bread mix
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Jars of Jam = x = 5
Packages of bread mix = y = 3
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Answer: Jam = 5 ; bread mix = 3
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