Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
1 and 3 I believe sorry if it’s incorrect
Answer:
104
Step-by-step explanation:
did the test yourself(sorry for no proof)
Answer:
(A) ![A=\left[\begin{array}{ccc}10&20&40\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%2620%2640%5Cend%7Barray%7D%5Cright%5D)
(B) ![B=\left[\begin{array}{ccc}11&22&44\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%2622%2644%5Cend%7Barray%7D%5Cright%5D)
(C) ![A+B=\left[\begin{array}{ccc}21&42&84\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%2642%2684%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The manager ordered 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.
(A)
Matrix <em>A</em> represents the amount of each item ordered. It is 1 × 3 matrix.
Then matrix <em>A</em> is:
![A=\left[\begin{array}{ccc}10&20&40\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%2620%2640%5Cend%7Barray%7D%5Cright%5D)
(B)
Next week the manager increases the order of all the products by 10%.
Then the amount of new orders are:
Tomatoes ![=10\times [1+\frac{10}{100}]=10\times1.10=11](https://tex.z-dn.net/?f=%3D10%5Ctimes%20%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%3D10%5Ctimes1.10%3D11)
Zucchini ![=20\times [1+\frac{10}{100}]=20\times1.10=22](https://tex.z-dn.net/?f=%3D20%5Ctimes%20%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%3D20%5Ctimes1.10%3D22)
Onions ![=40\times [1+\frac{10}{100}]=40\times1.10=44](https://tex.z-dn.net/?f=%3D40%5Ctimes%20%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%3D40%5Ctimes1.10%3D44)
Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:
![B=\left[\begin{array}{ccc}11&22&44\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%2622%2644%5Cend%7Barray%7D%5Cright%5D)
(C)
Add the two matrix <em>A</em> and <em>B</em> as follows:
![A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%2620%2640%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%2622%2644%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%2810%2B11%29%26%2820%2B22%29%26%2840%2B44%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%2642%2684%5Cend%7Barray%7D%5Cright%5D)
The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.