Answer:
They each carried 25 books each.
Step-by-step explanation:
You get this by doing
84/5=16.8
then you do
84/2/5= 8.4
8.4+16.8=25.2
but round to whatever 5 or higher bump up below 5 keep the same
so your answer results in 25.
Answer:
The farmer should make the enclosure 36 feet wide to have the maximum area for his pigs.
Step-by-step explanation:
The question tests the applications of differential calculus. We are informed that the farmer will use the wall of his barn as one side of the enclosure implying that the 144 feet of fencing will only be used to form the three remaining sides of the rectangular enclosure.
If we let x denote the width of this rectangular enclosure to be formed, then its length will be 144-2x since we shall be having two sides each measuring x and the total length of the fencing is 144. 2x will be used on the width leaving 144-2x for the length since one side of the length is formed by the wall.
If we let A denote the area of the rectangular enclosure, then;
A = x(144 - 2x)
since the area of a rectangle is simply the product of the length and the width. We open the brackets;
A = 144x - 2x^2
Clearly, the Area is a function of the width that is A is the dependent variable while x is the independent one.
At the maximum area, the slope of the tangent to the curve 144x - 2x^2 is 0. Therefore, we differentiate the given function of x with respect to x then set the resulting expression to 0 to determine x that will maximize A;
dA/dx = 144 - 4x
We set this expression to 0 and solve for x;
144 - 4x = 0
144 = 4x
x = 36
Therefore, the farmer should make the enclosure 36 feet wide to have the maximum area for his pigs.
Answer:
Step-by-step explanation:
Cost of one dress = 
Cost of one pair of shoes = 
Cost of one dress and a pair of shoes is 
They get half off the price because they buy both
The shipping and handling charge is 
.
So, the total amount Ruth has to pay is 
.
Answer:
function
A function is a relation (such that for each input, there is exactly one output) between sets. The formula and the graph are merely descriptions of this relation.
Answer:
1
Step-by-step explanation:
