12A+8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water.
If the robot filters air for 20 minutes and water for 15 minutes, plugging A as 20 and W as 15, let us check if the equation is true or not.
Checking left side:
12A + 8W = 12(20) +8(15)
240+ 120 = 360
Checking right side: 343
12A+8W > 343
360>343
True.
So the robot meets the first expectation.
Let us check for second equation:
3A+4W < 49
Left side : 3A +4W = 3(20) +4(15) = 60 +60 =120
Right side is 49
comparing left and right side:
3A+4W < 49
120<49
False.
So the robot does not meet the second expectation.
Answer:
x=-7
Step-by-step explanation:
Given:
The pair of composite numbers: 10 and 15
To find:
The greatest common factor (GFC) for the given pair of composite numbers.
Solution:
Two composite number are 10 and 15.
The factor forms of these two numbers are


It is clear that the common factor is 5 in both factor forms. So, the greatest common factor is

Therefore, the greatest common factor of 10 and 15 is 5.
Answer:
D = n/5 - m^2
Step-by-step explanation:
work:
n = 5(m^2 + D)
distribute the 5
n = 5m^2 + 5D
move the 5 to the other side by subtracting from both sides
n - 5m^2 = 5D
Divide both sides by 5 to isolate D
n/5 -m^2 = D
use reflexive property to get the answer on the left side
D = n/5 - m^2
To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9