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3 years ago

98points! PLEASE SHOW ALL STEPS Given the system of constraints, name all the vertices of the feasible region.

1 answer:

5 0

The lines y = x/3 + 3 and 5 = x+y intersect at (1.5,3.5)
So feasible region is bounded by the x-axis, the y-axis, the line from (0.3) to (1.5. 3.5), and the line from (1.5,3.5) to ((5,0). You should draw this so you can clearly see the feasible region. Now you need to evaluate = 6x-47 at each corner point of the feasible region.
The corner point that gives you the greatest value of C is the maximum value.

Hope that helps :)

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2 years ago

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

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Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

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2 years ago

A radio is being discounted 20% if the sale price of the radio is $51.44 what is the original price of the radio Radio is being

Grace [21]

Original price of the radio is $64.30

Sale price - $51.44
Discount rate - 20%

This means that $51.44 is the discounted price or is equivalent to 80% of the original price, since the 20% equivalent is deducted from the original price.

To get the original price, divide $51.44 by its corresponding percentage, 80%.

$51.44 / 80% = $64.30

To get the discount, multiply the original price by its discount rate

$64.30 x 20% = $12.86

To get the sales price, deduct the discount from the original price.

$64.30 - $12.86 = $51.44
100% - 20% = 80%

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3 years ago

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2 years ago

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Solve the inequality shown below. -2(q-22)+q+12>0

Andru [333]

−2(q−22)+q+12>0
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−q+56>0
Step 2: Subtract 56 from both sides.
−q+56−56>0−56
−q>−56
Step 3: Divide both sides by -1.
−q−1>−56−1
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