AX = b or ![\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C0.1%260.05%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C1.10%5Cend%7Barray%7D%5Cright%5D)
<h3>
The above matrix can be used to determine the number of dimes x and nickels y.</h3>
Step-by-step explanation:
Here, total number of coins = 15
Let us assume the number of dimes = x
Also, let us assume the number of nickels = y
So, x + y = 15 .... (1)
Again, 1 dime = $0.1
So, x dimes = x ($0.1) = $ (0.1 x)
1 nickel = $0.05
So, y nickels = y ($0.05) = $ (0.05 y)
Also, total value of coins = $1.10
⇒ 0.1 x + 0.05 y = 1.10 .... (2)
So, from (1) and (2) the matrix can be written as:
AX = b or
The above matrix can be used to determine the number of dimes x and nickels y.
Answer:
B = 119! The answer is 119!
Step-by-step explanation:
Step-by-step explanation:
4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)
4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
A meter is 100 cm, so 4 m = 400 cm.
1 cm : 4 m = 1 cm : 400 cm = 1 : 400
Answer:
23/3 cubic units
Step-by-step explanation:
The volume of a prism is the product of its base area and it height:
V = (23/4 units^2)(4/3 units) = (4·23)/(4·3) units^3 = 23/3 units^3
