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Julli [10]
2 years ago
9

-3-6v=-3(1-4y) + 2v

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Answer:

               if solving for v: v= 3y

                                            -  _

                                               2

Step-by-step explanation:

if solving for y: y= 2v

                           -    _

                               3                          

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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
Find x if AB = 9, BC = 2x - 5,<br> and AC = x + 9
Oxana [17]

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

5 0
3 years ago
Read 2 more answers
What is the first term of the quotient of the following division problem?
Naddika [18.5K]

Answer:

x²

Step-by-step explanation:

x³ - 1 ÷ x + 2

the first term of the quotient is x³ ÷ x = x²

4 0
2 years ago
What is the prime factorization of the number 45 
Hunter-Best [27]
45|3
15|3
5|5
1

45=3^2\cdot5
4 0
3 years ago
Jim can run a mile in 5 minutes and 50 seconds, john can run a mile in 6 minutes and 40 seconds.
QveST [7]

Jim's time is 5:50 and John's time is 6:40.

8 0
2 years ago
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