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Mandarinka [93]
3 years ago
8

You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit and requires six square feet of floor space. Ca

binet Y costs $20 per unit and requires eight square feet of floor space. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. Cabinet X provides 8 cubic feet of storage, and Cabinet Y provides 12 cubic feet of storage.
How many units of each model should you buy to maximize storage space?

A) 0 units of Cabinet X, 7 units of Cabinet Y
B) 12 units of Cabinet X, 0 units of Cabinet Y
C) 3 units of Cabinet X, 8 units of Cabinet Y
D) 8 units of Cabinet X, 3 units of Cabinet Y
Mathematics
2 answers:
Alborosie3 years ago
4 0

Answer:

i'm pretty sure it's d hope this helps


Step-by-step explanation:


Bezzdna [24]3 years ago
3 0

Answer:

d

Step-by-step explanation:

credit to usatestprep

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Joe will build a rectangular pen for his dog. A wall will form one side of the pen. Joe has 40 ft of fencing to form the other t
Svetlanka [38]
Material=wall+2*side and material is 40 ft so:

40=w+2s

w=40-2s

Area=ws, using w from above we get:

A=(40-2s)s

A=40s-2s^2

dA/ds=40-4s and d2A/ds2=-4

Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.

dA/ds=0 when 4s=40, s=10 ft

And since w=40-2s, w=20 ft

So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall.  And the maximum possible area is thus 200 ft^2
6 0
3 years ago
Read 2 more answers
given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
The diameter of a circle measures 32 mm. What is the circumference of the circle? Use 3.14 for , and do not round your answer. B
mart [117]

Answer:

100.48 ft

Step-by-step explanation:

8 0
2 years ago
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BaLLatris [955]

Answer:

$4040.57

Step-by-step explanation:

A=P(1+(r/n))^nt

P = Principal = 3000

r = rate = 0.03

n = no. times payed each year = 2

t = years = 10

A = 3000(1 + (0.03/2))^(2x10)

A = 3000(1.015)^20

A = 4040.57 (2.d.p)

Hope this helped!

6 0
3 years ago
This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 stude
vladimir1956 [14]

Answer:

it could be the number in 2015 is 2,330

Step-by-step explanation:

Just add the number of the students in 2014-2016.

1,030+ 1,300=2,330

4 0
3 years ago
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