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Kipish [7]
3 years ago
10

*7. Mrs. Martin rents a car for $36 plus $0.15 per mile. His budget is $60.

Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

The answer is A

Step-by-step explanation:

60-36= 24/0.15=160

m_a_m_a [10]3 years ago
5 0

9514 1404 393

Answer:

  (a)  160 miles

Step-by-step explanation:

Let m represent the number of miles Mrs Martin drives. Her rental cost is ...

  c = 36 +0.15m

She wants to find m when that is equal to $60.

  60 = 36 +0.15m

  24 = 0.15m . . . . . . . subtract 36

  24/0.15 = m = 160 . . . . divide by the coefficient of m

Mrs. Martin can afford to drive up to 160 miles.

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What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
3 years ago
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