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.
<u>Find the equation of the graph:</u>
General Equation : y = mx + b
.
Given that the gradient is 1.45
<u>Sub m = 1.45:</u>
y = 1.45x + b
.
<u>Find b:</u>
Given that x = 23, y = 48.31:
48.31 = 1.45(23) + b
b = 14.96
.
<u>Equation of the graph:</u>
y = 1.45x + 14.96
.
<u>When x = 18:</u>
y = 1.45(18) + 14.96 = $41.06
.
Answer: $41.06
Answer: the percent of the books in the store that are discounted is 60%
Step-by-step explanation:
Let x represent the total number of books in the bookstore. If the bargain books make up 18 percent of the total number of books in the store, it means that the total number of bargain books in the bookstore is
18/100× x = 0.18x
Let y represent the number of books that have been discounted. 30 percent of the books that have been discounted are called bargain books. This means that
30/100 × y = × 0.18x
0.3y = 0.18x
y = 0.18x/0.3 = 0.6x
The percentage of the number of books that have been discounted would be
0.6x/x × 100/= 0.6×100 = 60%
C
If Nelson’s score was -4, he took 4 strokes less than par. His score was 68
Erwin has 1 more point than Nelson. The person with the most points loses, so Nelson won by 1 stroke.
Answer:
The answer is the picture
Step-by-step explanation:
