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zmey [24]
3 years ago
14

The number of chickens (c) is four times as many the number of horses

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Number of chickens (c) is = 4 times number of horses (4h). c = 4h

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A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3
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Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = Length \times Breadth \times Height

Volume of rectangular prism =8 \times 6 \times 12

Volume of rectangular prism =576 feet^3

Hence the volume of the prism is 576 cubic feet

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Step-by-step explanation:

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Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 ​ start fraction, 4, start superscript, minus, 3, end super
Slav-nsk [51]

Answer:

\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}

\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}

Step-by-step explanation:

Given

\dfrac{4^{-3}}{4^{-1}}

Required

Choose equivalent expressions

Choosing the first answer:

\dfrac{4^{-3}}{4^{-1}}

Split expressions

4^{-3} * \frac{1}{4^{-1}}

Apply laws of indices: (a^{-b} = \frac{1}{a^b})

\frac{1}{4^3} * \frac{1}{4^{-1}}

Apply laws of indices: (a^{-b} = \frac{1}{a^b})

\frac{1}{4^3} * \frac{1}{1/4}

\frac{1}{4^3} * \frac{4^1}{1}

\frac{4^1}{4^3}

Hence:

\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}

Choosing the second:

\dfrac{4^{-3}}{4^{-1}}

Apply law of indices: (\frac{a^m}{a^n} = a^{m-n})

So,

\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}

\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}

\dfrac{4^{-3}}{4^{-1}} = 4^{-2}

Apply law of indices: (a^{-b} = \frac{1}{a^b})

So:

\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}

4 0
3 years ago
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