Answer:
Step-by-step explanation:
1. let x be the unknown number.
-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.
-The in equality is written as:
2.Let the amount Chris has be y.
-At most is a term of inclusivity implying less than or equal to a specified quantity.
-$5 less than twice y will therefore be represented as:
3. It is clear that the minimum age to have a drivers license is 16.
-Let x be the age of a driver whose age is unknown.
-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.
-Our inequality symbol is that of equal to or greater than, thus:
4. let x be the number of CD's bought and y of DVD's bought.
-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.
-They can only buy a number of units whose price is less than or exactly $65, thus:
To find slope:
(y1 - y2) / (x1 - x2)
(0-3)/(-4-0)
Slope is 3/4
So the equation is
y=3/4x + 3
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
Diagonally
the top of the closet