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2 years ago

12

A rectangular restaurant kitchen has a perimeter of 54 meters. Its area is 162 square meters. What are the dimensions of the kit

chen?

1 answer:

trasher [3.6K]2 years ago

8 0

Answer:

length = 18m

width = 9m

Step-by-step explanation:

a = lw

162 = lw

p = 2l + 2w

54 = 2l + 2w

27 = w + l

27 - w = l

162 = (27 - w)w

162 = -w² + 27w

-162 = w² - 27w

0 = w² - 27w + 162

0 = (w - 9)(w - 18)

9 = width

18 = length

a = (18)(9)

a = 162

27 = 18 + 9

27 = 27

Thus proves our answer.

Best of luck!

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Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav

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Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82

To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.

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2 years ago

The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The

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Given that, according to sanitation departments report; the samount of garbage produced by 1 resident $= 1.643 \times 10^3$ pound.

Given that population of the city $= 2.61 \times 10^5$

Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.

Total garbage collected $= (2.61 \times 10^5 ) * (1.643 \times 10^3 )$ pounds

Total garbage collected $= (2.61*1.643) \times 10^{5+3}$ pounds

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2 years ago

Read 2 more answers

What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?

Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

$|KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124$

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0

2 years ago

vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangula

irina1246 [14]

Answer:

<em>5,598 cans are required to empty the vessel</em>

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

$V = \pi r^2h$

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

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Converting to cubic cm:

$V_1=9.236*1,000,000\ cm^3$

$V_1=9,236,282\ cm^3$

The volume of each rectangular tin can is:

$V_2=33*10*5=1,650\ cm^3$

$V_2=1,650\ cm^3$

The number of cans required to empty the vessel is:

$V_1/V_2=9,236,282/1,650 = 5,598$

5,598 cans are required to empty the vessel

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2 years ago

A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or los

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Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

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Let the cost price be $x

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% profit = (30-x)/x * 100

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So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

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2 years ago