1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pani-rosa [81]
3 years ago
5

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

by 15 ft, and the area of the rug is 24 square feet, how wide will the border be?
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = (10-2x)(15-2x)  

We are given that the area of the rug is 24 square feet.

So,  (10-2x)(15-2x)=24 ---A

150-20x-30x+4x^2=24

150-24-50x+4x^2=0

126-50x+4x^2=0

2(x-9)(2x-7)=0

x=9,\frac{7}{2}

x=9,3.5

Substitute x =9 in A

(10-2(9))(15-2(9))=24

24=24

LHS = RHS

Substitute x = 3.5

(10-2(3.5))(15-2(3.5))=24

24=24

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

You might be interested in
Pls answer asap 7 - 3 r = r - 4 ( 2 + r)​
Marianna [84]

Answer:

no real answer

Step-by-step explanation:

distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r

then we have 7-3r=-8-3r

from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.

since 7 doesn't equal -8, there is no answer.

if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers

8 0
2 years ago
Which rate has the same unit rate as 126 miles in 9 hours.
OLEGan [10]

Answer: THE ANSWER IS C

Step-by-step explanation:

5 0
2 years ago
A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,
Ostrovityanka [42]
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>
6 0
2 years ago
Help, im timed :((( <br> will mark branliest
Daniel [21]

Answer: it is D)

Step-by-step explanation:

4 0
2 years ago
Use a single digit times a power of 10 to express the number 0.000023456
Aloiza [94]

Answer:

2.3456 x 10^-5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • La desigualdad para comparar los numeros 11 y ‐9​
    14·1 answer
  • Suppose that a person with a push mower can mow a large lawn in 2 ​hours, whereas the lawn can be mowed with a riding lawn mower
    7·1 answer
  • Is 2 mi greater than equal to or less than 10,560 ft​
    15·1 answer
  • You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass
    15·1 answer
  • Consider the figure below. Find the values of J, W, and A
    7·1 answer
  • Rosa made a mosaic wall mural using 47 black tiles, 36 blue tiles and 17 red tiles.
    12·1 answer
  • 2.1n -5.31 = 18 <br> Question : Find n <br> Pls Answer !!
    10·2 answers
  • Helpp me plzzzzzzzzzzz i need it right noww
    12·1 answer
  • Igebra 1: CC 2015 &gt; Chapter 1: Rewriting Equations and Formulas &gt; Section Exercises 1.5 &gt; Exercise 33
    15·1 answer
  • HELP‼️12 Points
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!