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3 years ago

The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

20 feet wide, 24 feet long

Step-by-step explanation:

Let x - width, y - length.

The perimeter is given by the formula:

P = 2*(width + length) or using x, y

P = 2*(x + y) = 88

x + y = 44

And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

x = 5y/6

Plug this in the first expression:

y + 5y/6 = 44. Muliply by 6

6y + 5y = 264

11y = 264

y = 264/11 = 24.

So x = 5(24)/6 = 20

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Step-by-step explanation:

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. The cost of 2 pizzas and 1 burger is ₹ 450. Write a linear equation for this situation and draw its graph.

Akimi4 [234]

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y, X

1, 448

2, 446

3, 444

4, 442

5, 440

6, 438

7, 436

8, 434

9, 432

10, 430

11, 428

12, 426

13, 424

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3 years ago

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olganol [36]

Answer:

(-4, 0) and (5/2, 0)

Step-by-step explanation:

if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0

set each factor equal to zero and solve:

2x - 5 = 0

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x = -4

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2 years ago