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2 years ago

5

A airplane travels at 150 miles per hour the number of hours at that rate is h what is an expression for the number of miles tra

veled?

1 answer:

Alex73 [517]2 years ago

4 0

Answer:

150h

Step-by-step explanation

An expression doesnt have an equal sign. If it was an equation it would have an equal sign and be m=150h.

FYI: m stands for miles traveled

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

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9 months ago

In this figure, 52. 9% of the area is painted yellow. How much of the area is painted yellow?22. 218 in²25. 921 in²44. 436 in²48

Paraphin [41]

Answer:

its 48.139

Step-by-step explanation:

i also needed help , but i only saw this so i guessed the answer and it is 48.139.

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2 years ago

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Afina-wow [57]

Answer:

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Step-by-step explanation:

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2 years ago

A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2. What is the volume of the carton? A( 4 cubic fe

notsponge [240]

Answer:

The volume of the carton is 5 1/3 cubic feet

Step-by-step explanation:

A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.

The dimensions can be rewritten as

Length of carton =2 2/3 = 8/3 converting to improper fraction).

width of 1 1/3 feet = 4/3 feet

and a height of 1 1/2= 3/2 ,feet

volume of the carton = length of the carton × width of the carton × height of the carton

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Converting to mixed fractions, we have

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3 years ago

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Answer:

x= -5

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Step-by-step explanation

I hope that is the answer you are looking for!And Brainiest is needed!

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2 years ago

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