All categories

3 years ago

In the floor plan for a house, one bed-

Mathematics

1 answer:

UkoKoshka [18]3 years ago

5 0

Answer: the length of one side of the bedroom is 24 feet.

the length of one side of the closet is 3 feet

Step-by-step explanation:

Let x represent the length of one side of the bedroom.

Let y represent the length of one side of the closet.

The sides of the bedroom were 8

times as large as the sides of the closet. This means that

x = 8y

the sum of the areas of the two was

585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,

x^2 + y^2 = 585 - - - -- - - -1

Substituting x = 8y into equation 1, it becomes

(8y)^2 + y^2 = 585

64y^2 + y^2 = 585

65y^2 = 585

y^2 = 585/65 = 9

Take square root of both sides of the equation,

y = √9 = 3

x = 8y = 8×3 = 24

You might be interested in

help!! Katherine O’Donnell obtain a personal loan of $3000 at 14% for 24 months. The monthly payment is $144. What is the intere

lina2011 [118]

3000*0.14*24=??? Then uuu add the 144 to your answer to get your answer

8 0

3 years ago

I’m very confused so can someone help me with this math problem please.

GenaCL600 [577]

Answer:

244

Step-by-step explanation:

34
45 x 57 =
(9

5 0

3 years ago

Hello,

oksano4ka [1.4K]

It took him 9.92 hours to complete the journey.

Step-by-step explanation:

Given,

Distance traveled = 50 miles

Distance traveled on horse = $\frac{50}{2}=25\ miles$

Distance traveled on foot = 25 miles

Speed while riding = 9 miles per hour

Distance = Speed * Time

Time while riding = $\frac{Distance}{Speed}$

Time while riding = $\frac{25}{9}=2.78\ hours$

Speed while waling = 3.5 miles

Time = $\frac{25}{3.5}=7.14\ hours$

Total time = 2.78+7.14 = 9.92 hours

It took him 9.92 hours to complete the journey.

Keywords: speed, distance

Learn more about distance at:

#LearnwithBrainly

7 0

3 years ago

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

zmey [24]

Answer:

$n = 3$

$XY = 39$

$XZ = 39$

Step-by-step explanation:

Given

$XY = 9n + 12$

$XZ = 15n - 6$

Solving (a): n

To solve for n;

We make use of

$XY = XZ$

Substitute values for XY and XZ

$9n + 12 = 15n - 6$

$9n - 15n = -12 - 6$

$-6n = -18$

Divide through by -6

$n = 3$

Solving (b) XY

$XY = 9n + 12$

Substitute 3 for n

$XY = 9 * 3 + 12$

$XY = 27 + 12$

$XY = 39$

Solving (c): XZ

$XZ = XY$

$XZ = 39$

7 0

3 years ago

Patricia needs atleast $200 to go to camp this summer. she has saved $60. She earns $5 per hour babysitting. Which inequality sh

julsineya [31]

If x is the number of hours Patricia needs to babysit, the inequality is

$savings+5x\ge200$

Therefore, since she has already saved $60,

$\Rightarrow60+5x\ge200$

Thus, the inequality that models the question is 60+5x>=200

6 0

1 year ago