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
EastWind [94]
2 years ago
12

A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​

Mathematics
1 answer:
Alex17521 [72]2 years ago
8 0

Answer:

w=6

l=14

Step-by-step explanation:

Area of rectangle = l*w

So:

w*(w+8)=84

Then, just find w, and w+8.

w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14

You might be interested in
What ratio is equivalent to the ratio 14:7 A 1:7 B2:7 C2:1
svp [43]

Answer:

c 2:1

Step-by-step explanation:

If you simplify 14:7 it is 2:1  (divide by 7)

5 0
3 years ago
Read 2 more answers
A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang
laiz [17]

<u>Answer-</u>

a. Probability that  three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

\binom{19}{3} = \frac{19!}{3!16!} = 969

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

\binom{33}{6} = \frac{33!}{6!27!} =1107568

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

\binom{52}{9} = \frac{52!}{9!43!} = 3679075400

∴P(3 white candies) = \frac{1073233392}{3679075400} =0.29



Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}

=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})

=(969)(45)(7)(5)(15)=22892625

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

\binom{52}{9}=\frac{52!}{9!43!} =3679075400

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

\frac{22892625}{3679075400} = 0.006


6 0
3 years ago
Drag each tile to the table to multiply (6x-y)(2x-y+2)
77julia77 [94]
The other answer is 12x2 – 8xy + 12x + y2 – 2<span>y</span><span />

7 0
3 years ago
Can somebody please please help me !!!! I don’t know if the answer is A,B,C,D ! Help ASAP !!!
Alexxx [7]

Answer:

pretty sure its b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the pattern in the values as the exponents increase?
uranmaximum [27]

Answer:

Option D is correct.

Step-by-step explanation:

We need to find the pattern in the values as the exponents increase.

First value is 1/3

if we multiply 3 with 1/3 i.e. 1/3*3 we get 1

The next value is 1 in the table.

Now, if we multiply 1 with 3 i.e. 1*3 we get 3

The next value is 3 in the table.

Now, if we multiply 3 with 3 i.e 3*3 we get 9

So, the next value is 9 in the table.

So, if we multiply 3 with the previous value we get the next value in the table.

Hence Option D multiply the previous value by 3 is correct.

6 0
3 years ago
Other questions:
  • The lengths of a particular snake are approximately normally distributed with a given mean mc025-1.jpg = 15 in. and standard dev
    11·2 answers
  • What is the relationship between
    8·2 answers
  • -7 over -10 simplified
    6·1 answer
  • What is the distance between the following points (3,-9) and (6,-2)
    10·1 answer
  • What is the value of x in the equation 3x – y = 18, when y = 27?
    14·2 answers
  • Oil is leaking from a tanker at the rate of R(t) = 2000e^(-0.2t) gallons per hour where t is measured in hours. How much oil lea
    7·1 answer
  • What is the circumference of a circle with a diameter of 10 feet? Use 3.14 as π
    9·1 answer
  • I need help!! im struggling with this question
    7·2 answers
  • Choose the correct answer to 97 ÷ 4.<br> 24 R1<br> 24<br> 23 R5<br> 24 R3
    10·2 answers
  • Ming argues that the length of a will be half of the measure of the length of 6 since 45° is half the measure of 90°. Charlene a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!