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nekit [7.7K]
3 years ago
13

a square has the sides of 2 yards. plastic cues with sides of 8 inches are placed on the rug. if the cubes cost $2 each, how muc

h money is needed to completely cover the rug with the cubes
Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0
The square is 6 by 6 feet or 72 by 72 inches.
The area of the square is 5184 inches squared.
Divide the area by 64 (area of cube) to equal 81 cubes.
Multiply 81 by 2 to find cost.
Cost = $162

Hope this helps!! :)
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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
Please help me i really need this grade !
Goshia [24]

Answer:

C. 8

Step-by-step explanation:

still using the equation a^2 = b^2 = c^2

8 0
3 years ago
Which equation has a constant of proportionality equal to 8?
tiny-mole [99]
B is the right answer for you question
8 0
3 years ago
MAX POINTS!!! Write and solve a system of equations. Be sure to label the variables. The difference of two numbers is two. Two t
Cerrena [4.2K]

Answer:

  • 5 and 3

Step-by-step explanation:

Let the numbers be x and y.

<u>The equations are:</u>

  • x - y = 2
  • 2x + y = 13

<u>Add up the equations to eliminate y and solve for x:</u>

  • x - y + 2x + y = 2 + 13
  • 3x = 15
  • x = 15/3
  • x = 5

<u>Now find the value of y:</u>

  • y = x - 2
  • y = 5 - 2
  • y = 3
3 0
3 years ago
Read 2 more answers
Simplify. √-64 A) -8 B) 8i C) -8i D) 32i
Vedmedyk [2.9K]

Answer:

C

Step-by-step explanation:

8i

√-64 = i√64 = 8i

6 0
3 years ago
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