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gtnhenbr [62]
3 years ago
8

Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The car

go section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

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guapka [62]
<h2>Hello!</h2>

The answer is:

The second option,

b.) C(x)=40.60x+201

<h2>Why?</h2>

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to add them in order to find the correct option.

From the statement we know the functions:

E(x)=22.75x+74

and

K(x)=17.85x+127

So, adding the functions we have:

C(x)=E(x)+F(x)

C(x)=(22.75x+74)+(17.85x+127)

C(x)=22.75x+17.85x+74+127

C(x)=40.60x+201

Hence, the answer is the second option,

b.) C(x)=40.60x+201

Have a nice day!

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Step-by-step explanation:

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7/9x9/2=63/18= wat does that equal
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Read 2 more answers
Need help asap please!
RUDIKE [14]

Answer:

\textsf{$f(1) = \boxed{1}$ , meaning when a $\boxed{1}$ is rolled on the die, the player is awarded}\\\\ \textsf{ $\boxed{1}$ point.  This interpretation $\boxed{\sf makes \; sense}$ in the context of the problem.}

\textsf{$f(4.5) = \boxed{8}$ , meaning when a $\boxed{4.5}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{8}$ points.  This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}

\textsf{$f(10) = \boxed{19}$ , meaning when a $\boxed{10}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{19}$ points.  This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}

\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}

Step-by-step explanation:

<u>Given function</u>:

f(x)=2x-1

where:

  • x is the value rolled on the six-sided die.
  • The sides of the die are labelled 1 to 6.

----------------------------------------------------------------------------------------------------

f(1) means the value of the function when x = 1.  

Therefore, substitute x = 1 into the given function to find f(1):

\begin{aligned}x=1 \implies f(1)&=2(1)-1\\&=2-1\\&=1\end{aligned}

\textsf{$f(1) = \boxed{1}$ , meaning when a $\boxed{1}$ is rolled on the die, the player is awarded}\\\\ \textsf{ $\boxed{1}$ point.  This interpretation $\boxed{\sf makes \; sense}$ in the context of the problem.}

----------------------------------------------------------------------------------------------------

f(4.5) means the value of the function when x = 4.5.

Therefore, substitute x = 4.5 into the given function to find f(4.5):

\begin{aligned}x=4.5 \implies f(4.5)&=2(4.5)-1\\&=9-1\\&=8\end{aligned}

As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6.  Therefore, rolling a "4.5" does not make sense.

\textsf{$f(4.5) = \boxed{8}$ , meaning when a $\boxed{4.5}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{8}$ points.  This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}

----------------------------------------------------------------------------------------------------

f(10) means the value of the function when x = 10.

Therefore, substitute x = 10 into the given function to find f(10):

\begin{aligned}x=10 \implies f(1)&=2(10)-1\\&=20-1\\&=19\end{aligned}

As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6.  Therefore, rolling a "10" does not make sense.

\textsf{$f(10) = \boxed{19}$ , meaning when a $\boxed{10}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{19}$ points.  This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}

----------------------------------------------------------------------------------------------------

The domain of a function is the set of all possible x-values.

As the faces of the six-sided die are labelled 1 to 6, the only possible values of x are 1, 2, 3, 4, 5 and 6.  

\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}

The domain can also be written as:

\{x \in \mathbb{N} \; | \; 1 \leq x \leq 6 \}  

or \{x \in \mathbb{Z} \; | \; 1 \leq x \leq 6 \}

8 0
1 year ago
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