1. y = -⅔x + 490
2. I would start with the y-intercept(490) on the graph. Then from that point, I would use rise/run to find the next point: I would go down two points (because the slope is negative), and run three points to the right.
3. f(x) = -⅔ + 490. The graph represents the total profits of last month.
4. View file below.
5. The graphs of these functions are similar in the fact that they are parallel to each other, therefore having the same slope.Both lines are also negative. They are different in that they do not have the same y-intercept or x-intercept.
Answer:
1. 3,168 in³
2. 
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism -
, where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then
of the tank will be full. Simplified, that is
. So that means
of the tank will be empty.
Hope this helps! Feel free to ask any questions!
Answer:
2
Step-by-step explanation:
Answer:
20 people
Step-by-step explanation:
The volume of a cuboid is equal to length * breadth * height.
First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.
Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so
280cm³/14cm³ = 20 people
Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x
Answer:
Less than
Step-by-step explanation: