Answer:
width = 8 feet and length = 12 feet
Step-by-step explanation:
Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )
The area (A) of a rectangle is
A = length × width, that is
w(3w - 12) = 96 ← area of floor
3w² - 12w = 96 ( subtract 96 from both sides )
3w² - 12w - 96 = 0 ← in standard form for a quadratic equation
Divide all terms by 3
w² - 4w - 32 = 0
Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)
The factors are - 8 and + 4, since
- 8 × 4 = - 32 and - 8 + 4 = - 4, hence
(w - 8)(w + 4) = 0
Equate each factor to zero and solve for w
w - 8 = 0 ⇒ w = 8
w + 4 = 0 ⇒ w = - 4
However, w > 0 ⇒ w = 8
Hence width = 8 feet
length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet
The first problem Levi solves is incorrect, because 5/4 is not equal to 20.
The second problem Levi solves is correct, because 1.5 x 10 is 15, which subtracting 8 is equal to 7.
The third problem Levi solves is correct, because 4 x 13 is 52 and plus 6 it is 58.
I hope this helps!
Answer:
He will need to sleep 5.77 hours
Step-by-step explanation:
The first night, he slept 3 percent more than the previous night, meaning 5.28 + (5.28 x 3/100) = 5.28 + 0.1584 = 5.4384
The second night, he will need to sleep 3 percent more than the previous night, meaning 5.4384 + (5.4384 x 3/100) = 5.4384 + 0.163152 = 5.601552
The third night, he will need to sleep 3 percent more than the previous night, meaning 5.601552 + (5.601552 x 3/100) = 5.601552 + 0.16804656 = 5.76959856 = 5.77
9 quarters...................
Answer:
73
Step-by-step explanation:
(
x
e
v
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n
−
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)
+
(
x
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e
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=
−
148
which is the same as
x
o
d
d
−
l
o
w
+
x
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d
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i
g
h
=
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148
where
x
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d
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−
l
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w
=
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v
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=
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75
and
x
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d
d
−
h
i
g
h
=
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=
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73
