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Serggg [28]
3 years ago
10

write each statement as a decimal to two decimal places. (i)$6.00 to 95 cents (ii) 3 hours to 35 minutes (iii) 42 inches to 2 fe

et
Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

1) $6.00 to 95 cents

$1 = 100 cents

\$6.00=\$6.00*\frac{100\ cent}{\$} =600\ cent\\\\\$6\ to\ 95\ cent=\frac{\$6}{95\ cent} = \frac{600\ cent}{95\ cent} = 6.32\ to\ 2\ decimal\ places

2) 3 hours to 35 minutes

1 hour = 60 minutes

3\ hr=3\ hr*\frac{60\ minute}{1\ hr} =180\ minte\\\\3\ hr\ to\ 35\ minute=\frac{3\ hr}{35\ minute} = \frac{180\ minute}{35\ minute} = 5.14\ to\ 2\ decimal\ places

3) 42 inches to 2 feet

1 inches = 0.0833 ft

42\ inch=42\ inch*\frac{0.0833\ feet}{1\ inch} =3.5\ feet\\\\42\ inch\ to\ 2\ feet=\frac{42\ inch}{2\ feet} = \frac{3.5\ feet}{2\ feet} = 1.75\ to\ 2\ decimal\ places

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Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a frie
sergiy2304 [10]
<h3>Answer:</h3>

5/6

<h3>Explanation:</h3>

There are 6 half-hours between 9 and 12. You will be there for 5 of them. The probability you will be there is 5/6.

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3 years ago
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The 3 bubble is the correct answer.

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5(n-4)=(4n-12)

First: Distribute 5 into n and -4.
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Second: Subtract 4n from both sides to eliminate the variable from the right side of the equation.

(5n-20)=(4n-12)

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Next: Add 20 to both sides to eliminate the constant from the left side of the equation.

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