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Delicious77 [7]
3 years ago
5

Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 4 hours, plus Dave gave the

driver a 10% tip. How much did he spend in total for the hourly charges plus tip?
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0
Add all of them up then divide by 10
andriy [413]3 years ago
6 0

Answer:

70 x4 =280 x 10%=28

280+28 = 308

Step-by-step explanation:

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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge
Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

5x+4y+5z=-1

x+y+2z=1

2x+y-z=-3

Firs we find determinant of system of equations

Let a matrix A=\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right] and B=\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]

\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}

\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply R_1\rightarrow R_1-4R_2 and R_3\rightarrow R_3-2R_2

\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]

ApplyR_2\rightarrow R_2-R_1

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]

Apply R_3\rightarrow R_3+R_2

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]

Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0
3 years ago
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not
sergejj [24]

Answer:

Quadrant III ( C )

Quadrant IV ( D )

Step-by-step explanation:

Ordered pair ( a, b )

gives a point P on the coordinate plane

( a, b ) = ( x, y )

given : b = negative ( y-axis )

           a ≠ 0 ( i.e. a = negative or positive ) ( x -axis )

Therefore point P is located in the : Third and fourth quadrants

8 0
3 years ago
Read 2 more answers
Each day a cashier counts the number of pennies left in the "take a penny, leave a penny" dish. Estimate the probability that th
jeka94

Answer:

B.4/11

Step-by-step explanation:

hope it helps

consider making my answer as BRAINLIST

7 0
3 years ago
What is the scale factor of the dilation shown? Quadrilateral D E F G has side lengths 4, 10, 8, and 4. Quadrilateral D prime E
ira [324]

Answer:

i think the scale factor is 3:2

Step-by-step explanation:

To figure the total difference divide:

6 divided by 4 = 1.5

1.5 = 3/2

pls tell me if wrong

Hope this helps

8 0
3 years ago
Find a common difference of the arithmetic sequence -2, -1 4/5, -1 3/5, -1 2/5,
elixir [45]

Answer:

The common difference is \frac{1}{5} or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ = \frac{-9}{5}

Third term     = a₃ = \frac{-8}{5}

Fourth term = a₄ = \frac{-7}{5}

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}

\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}

∴ d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2\\

The common difference is \frac{1}{5} or 0.2

6 0
3 years ago
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