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
katrin2010 [14]
3 years ago
10

The perimeter of a rectangle is 48 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 11

2 m. What is the length of the original rectangle?
Mathematics
2 answers:
KengaRu [80]3 years ago
7 0

<u>Original</u>

Length (L): L

width (w): w

Perimeter (P) = 2L + 2w

               48 = 2(L) + 2(w)

              24 = L + w    

         24 - L = w

*******************************************

<u>New</u>

Length (L): L + 24

width (w): 2w        ⇒2(24 - L)   = 48 - 2L

Perimeter (P) = 2L + 2w

               112 = 2(L + 24) + 2(48 - 2L)

                112 = 2L + 48 + 96 - 4L

                 112 = -2L + 140

                 -28 = -2L

                   14 = L

Answer: 14 m



Pani-rosa [81]3 years ago
6 0

Answer:

The answer is 16

Step-by-step explanation:

Firstly, we have to determine two equations that represent the perimeter before and after of changings.

Let

W=width of the rectangle

L=length of the rectangle

P=perimeter of the rectangle

<u>Before of changings</u>:

P=2*W+2*L\\P=48\\48=2*W+2*L

<u>After of changings</u>:

P=2*(2*W)+2*(L+24)\\\\P=4*W+2*L+48\\P=112\\112=4*W+2*L+48\\64=4*W+2*L

Finally, we resolve both equations:

(-1)*(48)=(-1)*(2*L+2*W)\\-48=-2*W-2*L\\\\64=4*W+2*L\\\\

Adding both equations:

-48+64=-2*W-2*L+4*W+2*L\\16=2*W\\W=16/2=8\\\\

Replacing W value in any equation:

64=4*8+2*L\\64=32+2*L\\2*L=64-32\\2*L=32\\L=32/2=16\\

Then, the length of the original rectangle (before changings) is 16

You might be interested in
A point is a ______.
Ksju [112]
A point is a geometry figure named with lowercase letters (I'm pretty sure)
6 0
3 years ago
How do I Simplify this fraction <br><br> 4/5
trasher [3.6K]

Answer:

you don't, the fraction \frac{4}{5}  

or 4/5

is already in its simplest form.

Step-by-step explanation:

if you want it as a decimal, simply divide.

numerator by the denominator

4 divided by 5

which is 0.8  

6 0
3 years ago
Let f(x) = |x| for all real numbers x. Write the formula for the function represented by the described
Ostrovityanka [42]

Answer:

y=(\frac{1}{3}f(x-3))-1

Step-by-step explanation:

Please see the picture below.

1. Given the function f(x) = |x|, applying a vertical stretch with scale factor \frac{1}{3}, we have the transformed function:

y=\frac{1}{3}f(x)

2. Applying a translation of 3 units to the right, we have:

y=\frac{1}{3}f(x-3)

3. Finally applying a translation down of 1 unit, we have:

y=(\frac{1}{3}f(x-3))-1

6 0
3 years ago
Someone help me leran this meth problem
Sergio [31]

Answer:


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
last saturday i went to a book store and bought the following items on pocket notebook which cost 23.75; a set of colored pens w
Iteru [2.4K]

Answer:

The amount of change she received is

$16.1

Step-by-step explanation:

1.what is asked in the problem?

We are to find how much change she received

what are the given facts?

She bought:

notebook which cost 23.75; a set of colored pens which cost 36.20 and a liquid eraser which cost 23.95

She gave the cashier $100

2.what operation to be used to solve the problem ?

Addition and Subtraction operation

3.solve

= $100 - ($23.75 + $36.20 + $23.95)

= $100 - $83.9

= $16.1

The amount of change she received is

$16.1

5 0
3 years ago
Other questions:
  • A total of 516 tickets were sold for the school day. There were either adult tickets or student tickets. The number of student t
    6·2 answers
  • Which phrase matches the expression 2v
    14·2 answers
  • Write five numbers that round up to 600<br> write five numbers that round down to 600
    7·1 answer
  • Which answer is the equation of the line represented in function notation?
    5·2 answers
  • Write the slope intercept form of the equation for the line that is described in the following function table.
    9·1 answer
  • Can someone help me with this ​
    15·2 answers
  • Math help guys please
    15·1 answer
  • There are 18 athletes trying out for the olympic swimming team. The coach only has room for 8 swimmers on the team. How many dif
    14·2 answers
  • The stock of Company A gained 2% today to $79.56. What was the opening price of the stock in the beginning of the day?
    11·1 answer
  • I giveeee brainlilster
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!