Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Given:
2 rectangular prism.
same height
square bases
Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft
Solving for the space inside each rectangular prism, we need to find its volume.
Volume of a rectangular prism = length * width * height
Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet
Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet
Box A - Box B = difference in space
16 cubic feet - 2.25 cubic feet = 13.75 cubic feet
Box A contains 13.75 cubic feet more space than Box B.
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Answer:
-20/13 <g
Step-by-step explanation:
-7–5(3g+8)<10g–7+g
Distribute
-7–15g-40<10g–7+g
Combine like terms
-15g - 47 < 11g -7
Add 15 g to each side
-15g+15g -47< 11g+15g -7
-47 < 26g -7
Add 7 to each side
-47+7 < 26g-7+7
-40 < 26g
Divide each side by 26
-40/26 <26g/26
-40/26 <g
Divide top and bottom by 2
-20/13 <g
Answer:
What are you solving for?
Step-by-step explanation:
