Answer:
Therefore,

Step-by-step explanation:
Given:
![A=\left[\begin{array}{ccc}3&6&9\\2&4&8\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%269%5C%5C2%264%268%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To Find:
a₂₁ = ?
Solution:
Let,
![A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B11%7D%26a_%7B12%7D%26a_%7B13%7D%5C%5Ca_%7B21%7D%26a_%7B22%7D%26a_%7B23%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
We require ' a₂₁ ' i.e Second Row First Column Element
So on Comparing we get
∴ 
Therefore,

Answer:
Yes; she will have $4008 for other expenses.
Step-by-step explanation:
First you find out how much she saved by multiplying 350 by 36 as she saved for 3 years which is 36 months.

After that you need to work out the amount she needs in total for her tuition by multiplying 4 by 3723 which is the amount needed per year.

If her parents add to her account half the amount she saved that means that they give her an additional 6300 as that's half of 12600.
This means she has 18900 and if you take away 14892 you will be left with 4008 for expenses.
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Step-by-step explanation:
We are given the system of equations:

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.
We need to solve the systems to find the values of x and y.
Let:

Subtract both equations:

So, value of y=3
Putting value of y in eq(2) and finding value of x:

So, value of x=6
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Keywords: System of equations
Learn more about system of equations at:
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The two number are 39 and 13
<em><u>Solution:</u></em>
Let the two numbers be "a" and "b"
Let the larger number be "a" and the smaller number be "b"
<em><u>Given that, sum of two numbers is 52</u></em>
a + b = 52 ---------- eqn 1
<em><u>One number is 3 times as large as the other number</u></em>
Larger number = 3 times smaller number
a = 3b -------- eqn 2
<em><u>Let us solve eqn 1and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
3b + b = 52
4b = 52
b = 13
<em><u>Substitute b = 13 in eqn 2</u></em>
a = 3(13)
a = 39
Thus the two number are 39 and 13
You would go through 4.5 bottles