Answer:
I think the correct answer is D
Step-by-step explanation:
A rectangle with sides 15 and w has perimeter

We want this quantity to be at most 50, so it must be less than or equal to 50:

For the record, this implies that

So, the width can be at most 10.
Answer:
see attached
Step-by-step explanation:
Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.
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This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).
Answer:
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
Step-by-step explanation:
Let
x -----> the number of gallons of soda needed
y ----> the number of gallons of fruit drink needed
we know that
-----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (10,15)
see the attached figure
therefore
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
The angle sum of quadrilateral is 360 so just 360 - 120- 48 - 92 so the fourth angle should be 100°
the area of triangle is base X height /2 so the answer is 6 x 8 /2 = 24