Janet can fill a certain order in 5 hours, therefore she performs 1/5 of the order within 1 hour.
Tom needs 8 hours to do the same job, therefore he performs 1/8 of the order within 1 hour.
Working together, they make 1/5 + 1/8 orders within 1 hour.
Let <em>t</em> mean the number of hours they need. Then we have equation:
A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.
average rate of change:
($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year
initial value:
$350
B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.
If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is
(450 - 350) / (1 - 0) = 100/1 = 100
which is the same as the average rate of change.
Using the point-slope formula for a line, the equation you want is then
<em>y</em> - 350 = 100 (<em>x</em> - 0)
<em>y</em> - 350 = 100<em>x</em>
<em>y</em> = 100<em>x</em> + 350
Answer:
500.5 $
Step-by-step explanation:
1430 :100×35= 500.5$
1001
____ = 500.5
2
Answer:
8 pieces of wood should be put along each side of the chessboard
Step-by-step explanation:
Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.
Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood
Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood
64 pieces of wood would be needed to complete the cheeseboard.
The number of pieces to put along each side of the cheese board will be √64.
This is because the shape of a chessboard is square.
Thus the number of pieces to put on each side will be √64 = 8
Answer:
D
Step-by-step explanation:
