Alibrary has at least 900 square feet to create a new study area. each study cubicle uses 6 square feet, and each computer station uses 8 square feet.

which inequality correctly represents this situation, where s is the number of study cubicles and c is the number of computer stations?

6s+8c≤900

6s+8c> 900

6s+8c< 900

6s+8c≥900

6s + 8c ≥ 900

Step-by-step explanation:

The library has at least 900 square feet available. It means 900 or more.

If s is the number of study cubicles and c is the number of computer stations, the total space occupied by them is 6s+8c. That space is 900 or more square feet, so our inequality is 6s + 8c ≥ 900

Statement 1 : True

Statement 2: False

Statement 3: False

Statement 4:True

Statement 5:False

Statement 6:True

Step-by-step explanation:

Given :

To Find: Which statements about the system are true?

Solution:

Slope intercept form:

where m is the slope

Convert the given equations in slope intercept form

Equation 1:

 --A

On comparing with general form

Slope = m =

Equation 2:

 --B

On comparing with general form

Slope = m = 1

Substitute the value of x form B in A

Substitute the value of y in B to get value of x

Thus the solution is (0,5)

Thus The system has one solution.

So, Statement 1 is true

Since the slopes of the given lines are not same so the lines are not parallel

Thus the statement 2 is false.

Slope of line 1 is and slope of line 2 is 1

Since the slopes are not same

So, statement 3 is false.

Equation 1:

To find y intercept substitute x =0

Equation 2:

To find y intercept substitute x =0

So,statement 4 is true Both lines have the same y-intercept.

Statement 5: The equations graph the same line.

Statement 5 is false (refer the attached graph)

Statement 6 is true The solution is the intersection of the 2 lines (refer the attached graph)