Answer: =1/2x+1/3
Step-by-step explanation:
(
3
x
3
2
y
3
x
2
y
−
1
2
)
−
2
(
3
x
3
2
y
3
x
2
y
-
1
2
)
-
2
Move
x
3
2
x
3
2
to the denominator using the negative exponent rule
b
n
=
1
b
−
n
b
n
=
1
b
-
n
.
⎛
⎝
3
y
3
x
2
y
−
1
2
x
−
3
2
⎞
⎠
−
2
(
3
y
3
x
2
y
-
1
2
x
-
3
2
)
-
2
Multiply
x
2
x
2
by
x
−
3
2
x
-
3
2
by adding the exponents.
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(
3
y
3
x
1
2
y
−
1
2
)
−
2
(
3
y
3
x
1
2
y
-
1
2
)
-
2
Move
y
−
1
2
y
-
1
2
to the numerator using the negative exponent rule
1
b
−
n
=
b
n
1
b
-
n
=
b
n
.
(
3
y
3
y
1
2
x
1
2
)
−
2
(
3
y
3
y
1
2
x
1
2
)
-
2
Multiply
y
3
y
3
by
y
1
2
y
1
2
by adding the exponents.
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⎛
⎝
3
y
7
2
x
1
2
⎞
⎠
−
2
(
3
y
7
2
x
1
2
)
-
2
Change the sign of the exponent by rewriting the base as its reciprocal.
⎛
⎝
x
1
2
3
y
7
2
⎞
⎠
2
(
x
1
2
3
y
7
2
)
2
Use the power rule
(
a
b
)
n
=
a
n
b
n
(
a
b
)
n
=
a
n
b
n
to distribute the exponent.
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(
x
1
2
)
2
3
2
(
y
7
2
)
2
(
x
1
2
)
2
3
2
(
y
7
2
)
2
Simplify the numerator.
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x
3
2
(
y
7
2
)
2
x
3
2
(
y
7
2
)
2
Simplify the denominator.
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x
9
y
7
Answer:
1. The elephant should be given _ fl oz.
2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.
3. 0.9 < 1.1
4. There are 7 tons in 14,000 pounds.
5. There are 17900 Milligrams in 17.9 grams.
Step-by-step explanation:
1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.
5.5 x 2,000 = 11,000
Then you have to divide 11,000 by 250.
11,000/250 = 44
2. Every term in Pattern B is 4 times less than the term in Pattern A.
3. 0.9 is smaller than 1.1.
4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.
5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.
Answer:
x=-17, y=5. (-17, 5).
Step-by-step explanation:
-2x-5y=9
3x+11y=4
---------------
3(-2x-5y)=3(9)
2(3x+11y)=2(4)
---------------------
-6x-15y=27
6x+22y=8
-----------------
7y=35
y=35/7
y=5
3x+11(5)=4
3x+55=4
3x=4-55
3x=-51
x=-51/3
x=-17
Average speed = 24 3/4 / 1 1/2 = 99/4 / 3/2 = 99/4 x 2/3 = 16 1/2 miles per hour.
