Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Answer:
a = 3, b = 0, c = 0, d = -2
Step-by-step explanation:
<em>To find the reflection Multiply the matrices</em>
∵ The dimension of the first matrix is 2 × 2
∵ The dimension of the second matrix is 2 × 3
<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>
2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix
×
= ![\left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%281%2A0%2B0%2A0%29%26%281%2A3%2B0%2A0%29%26%281%2A0%2B0%2A2%29%5C%5C%280%2A0%2B-1%2A0%29%26%280%2A3%2B-1%2A0%29%26%280%2A0%2B-1%2A2%29%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%263%260%5C%5C0%260%26-2%5Cend%7Barray%7D%5Cright%5D)
Compare the elements in the answer with the third matrix to find the values of a, b, c, and d
∴ a = 3
∴ b = 0
∴ c = 0
∴ d = -2
Total length of boards needed = 2000*3.5 = 7,000.
Total number of 8' boards needed = 7000/8 = 875 answer
The answer is 2.94 because you divide 6.174 over 2.1