Let p represent the number of people originally in the fort. Then the quantity of provisions is 90p (person-days). The scenario can be described by
90p = 20p +50(p+600)
90p = 70p +30000 . . . . . . . eliminate parentheses
20p = 30000 . . . . . . . . . . . . subtract 70p
p = 1500 . . . . . . . . . . . . . . . . divide by 100
There were originally 1500 people in the fort.
Step-by-step explanation:
the equation is
y = ax + b
a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.
so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).
so the slope is -4/2 = -2
now or equation looks like
y = -2x + b
to get b we use one of the points in the equation. e.g. B
1 = -2×5 + b = -10 + b
b = 11
so, our full equation is
y = -2x + 11
The amount of days he needs to collect one egg
Answer:
Step-by-step explanation:
Given
See attachment for base dimension
Required
Determine the volume of the storage unit
From the attachment, we can split the base dimension into two rectangles.
CDEF and ABCG
And the dimensions are:
<u>CDEF</u>
So, the area of CDEF is:
<u>ABCG</u>
<u></u><u></u>
<u></u><u></u>
<u></u>
<u></u><u></u>
So, the base area is:
The volume is then calculated as: