P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
The answer is 24.5
Hope this helps :)
2 and 1/4 = 9/4
4 and 1/12 = 49/12
3 and 2/3 = 11/3
Perimeter = 9/4 + 49/12 + 11/3
= 27/12 + 49/12 + 44/3
= 120/12
= 10inches
Let x denote the length of the side of the garden which is covered fenced by a shed, and
be the width of the garden.
The perimeter of a rectangle is given by 2(length + width)
i.e.
which gives:
For the area to be maximum, the differentiation of A with respect to x must be equal to 0.
i.e.
Therefore, the maximum area of the garden enclosed is given by