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LekaFEV [45]
1 year ago
15

Divide:7/4 ÷ 8/732/4949/3217/3281/32

Mathematics
1 answer:
SIZIF [17.4K]1 year ago
5 0

7/4 ÷ 8/7

To divide fraction multiply the first fraction by the reciprocal of the second fraction:

7/4 x 7/8 = (7x7) / (4x8) = 49/32

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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
Sue bought a pair of jeans and a shirt for $55.75. If the jeans cost $25.25, how much did she pay for the shirt?
givi [52]
Hey there!

In order to find the amount that Sue paid for the shirt, all you have to do is subtract the price of the jeans from the total amount that she paid for the jeans and the shirt. 

55.75 – 25.25 = 30.5

Sue paid $30.50 for the shirt, making your answer A. 

Hope this helped you out! :-)
6 0
3 years ago
PLEASE HELP ME PLEAESESES
Bogdan [553]

Answer:

Make a coordinate plane and you have to solve around the orgin say 4,4 and 4,1

Step-by-step explanation:

8 0
3 years ago
Evaluate 24 + |x - 4| - y if x=2 and y= -3<br><br> Help me plz
Sonja [21]

Answer:

\huge  \boxed {29}

Step-by-step explanation:

24 +  |x - 4|  - y

Given x = 2 and y = -3. Therefore, substitute x = 2 and y = -3 in the expression.

24 +  |2 - 4|  - ( - 3) \\ 24 +  | - 2|   + 3

Multiplying the negative with negative equal positive. All negative numbers in the absolute will become positive.

24 + 2 + 3 = 24 + 5 = 29

Therefore the answer is 29.

5 0
3 years ago
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Brianna needs to contact members of the softball league. She calls 4 members in the morning. Those 4 people each call 4 more peo
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Answer:

...

Step-by-step explanation:

4 0
2 years ago
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