For this case we have the following equation, in a linear way:
This expression can be written in the form
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do
Thus, the point
Step 2:
We do
Thus, the point
Answer:
See attached image
$37.25 must be payed for the total time of 115 minutes.
<u>Step-by-step explanation:</u>
- The cost for 1st 45 minutes = $12.75
- The cost per minute for additional 2 hours = $0.35
- The cost per minute for additional time after 2 hours = $0.25
x be the total time spent in minutes,
It is given that the total time spent, x = 115 minutes.
<u>To find the cost to pay for 115 minutes :</u>
The first 45 minutes out of 115 minutes should be payed $12.75
Therefore, the remaining minutes is 115 - 45 = 70 minutes.
The additional 2 hours (120 minutes) should be payed $0.35 per minutes.
But, in this case the additional time is only 70 minutes.
⇒ 70 × 0.35
⇒ $24.5
The total amount to be payed for 115 minutes = $12.75 + $24.5
⇒ $37.25
Answer:
3628800 batting orders
Step-by-step explanation:
Since a batting order is an order arrangement, then we have a permutation of 9 out of 10
10!/(10 - 9)! = 10!/1! = 10! = 3628800 batting orders
Answer:
The greatest common factor of 16 and 24 is 8. The least common multiple is 48.
Step-by-step explanation:
Hope this helps!
Answer:
The length of the kitchen is 2.23 meters.
Step-by-step explanation:
Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:
Width = 2 meters
Hypotenuse = 3 meters
2 ^ 2 + X ^ 2 = 3 ^ 3
4 + X ^ 2 = 9
X ^ 2 = 9 - 4
X = √ 5
X = 2.236
Therefore, the length of the kitchen is 2.23 meters.