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3 years ago

five years ago Kate's age was four less than twice the Mary's age. If mary is 11 now, how old is kate now?

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

13 years old

Step-by-step explanation:

2x - 4

11-5=6

6 x 2 = 12

12 - 4 = 8

8 + 5 = 13

CHECKING JUST TO MAKE SURE:

13 - 5 = 8

11 - 5 = 6

6 x 2 = 12

12 - 8 = 4

You can now tell that it is correct.

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Tickets to a play cost $11 for each adult and $4 for each child. If 360 tickets were sold for a total of 2826, how many tickets

Vesna [10]

Well take 11 decided by 4 then take tat decided by 360

7 0

3 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

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Llana [10]

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sergeinik [125]

Answer:

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Step-by-step explanation:

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Georgia [21]

We have been given a diagram and we need to find the value of arc angle a.

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Therefore, value of angle a is:

$a^{0}=2*34=68^{0}$

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3 years ago

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