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qaws [65]
3 years ago
6

Andre is creating a border around his rectangular patio with paver bricks. The coordinates of the vertices of the patio are ( 1,

5 ), ( 6,5 ), (6,1), and ( 1, 1 ). Each grid square has a length of 3 feet.Find the amount of brick, in feet,needed for the perimeter.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
The given coordinates are (1, 5), (6, 5), (6, 1) and (1, 1). Draw a rectangular figure using these coordinates. 

The measurements of each side are 4, 4 ,5, and 5. Therefore the perimeter of the patio is:

4 + 4 + 5 + 5 = 16 feet

If each grid of the square is 3 feet. The measurement of the upper part of the patio is 5 + 3 + 3 = 11 feet. The other side is 3 + 3 + 4 = 10 feet. So the total area of the patio plus the bricks is 10 x 11 = 110 sq. feet. The area of the patio is 4 x 5 = 20 ft.

Therefore, the remaining area is 110 - 20 = 90 ft.  
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Craig and Alissa are building a sandcastle on the beach. They each have a bucket. Craig's bucket holds 1/2 pound of sand and Ali
Nitella [24]
<h3>Amount of sand craig and Alissa collect together at one time is 1.4 pounds</h3>

<em><u>Solution:</u></em>

Given that,

Craig and Alissa are building a sandcastle on the beach. They each have a bucket

Craig's bucket holds 1/2 pound of sand and Alissa's bucket holds 9/10 pound of sand

Therefore,

Craig\ bucket = \frac{1}{2}\ pound\\\\Alissa\ bucket = \frac{9}{10}\ pound

<em><u>How much sand can craig Alissa collect together at one time</u></em>

Add both, we get

Collect\ together = \frac{1}{2} + \frac{9}{10}\\\\Collect\ together = \frac{1 \times 5}{2 \times 5} + \frac{9}{10}\\\\Collect\ together = \frac{5}{10} + \frac{9}{10}\\\\Collect\ together = \frac{9+5}{10}\\\\Collect\ together = \frac{14}{10} = \frac{7}{5} = 1.4\\\\In\ mixed\ fractions,\\\\Collect\ together = 1\frac{2}{5}

Thus, amount of sand craig and Alissa collect together at one time is 1.4 pounds

4 0
3 years ago
Please help, this is due today at 3PM
Agata [3.3K]
It decreases by -.4 over 1
6 0
3 years ago
Read 2 more answers
The pool at the apartment building is 30 feet long, 20 feet wide, and 5 feet deep. It has been filled 4 feet deep. How many more
egoroff_w [7]
I think the answer is A 600 cubic feet
6 0
3 years ago
Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou
Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

<u>A)  find the linear demand equation</u>

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

<u>B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue</u>

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = -\frac{b}{2a}  = - \frac{41500}{2(-4500)} =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

5 0
2 years ago
The length of a rectangle is 3 inches longer than half of its width. The area of the rectangle is 416 square inches. How many in
Pie

Answer:

C. 26 Inches

Step-by-step explanation:

Using process of elimination you can tell the answer. 26*(13+3)=416

8 0
2 years ago
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