The given inequality is expressed as
0 < a < 6
This means that the values of a that would satisfy the inequality are numbers between 0 and 6 but both 0 and 6 are not inclusive. This would be shown by not making solid circles at 0 and 6. The number line is shown below
Answer:
y = -5x + 21
Step-by-step explanation:
perpendicular lines have slopes that are negative reciprocals.
The given line has a slope of 1/5, so the perpendicular line will have a slope of -5.
y = -5x + B
-4 = -5(5) + B
B = -4 + 25 = 21
y = -5x + 21
Answer:
8x + 12y < 240
Step-by-step explanation:
If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).
Then, to find the total number of hours they dye them in, add the terms together.
8x + 12y
The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).
8x + 12y < 240
Answer:
(a) Equation: 
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:

Where


Substitute these values in the formula


Collect Like Terms


Solving for (b): In this case, n - 3
Substitute 3 for n in 



<em>7.5 gallon of gas left</em>
Answer:
with? TwT mental? physical?
Step-by-step explanation: