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
Evgesh-ka [11]
3 years ago
6

Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
You might be interested in
Hello can someone please help me (with explanation ) how to do this <br><br> thank you.............
tigry1 [53]

Answer:

A 24 because half of 12 is 6 then 6 x 4 is 24

B 90÷3 is 30 which is 2/3 of 45

Hope this helps you

6 0
3 years ago
A student says that a coordinate grid under a dilation with the center at the origin and scale factor 2 does not change the grid
Kisachek [45]

Answer:

Dilation changes (x,y) values not the grid or coordinate plane. Basically, dilating a graph or a coordinate grid means the original coordinates you may have had will be changed with the dilation.  For example, a triangle plotted had its original area of 26 dilated to an area of 58.

8 0
3 years ago
What is the value of x ; 32x + 53 = 501
kirill [66]
32x + 53 = 501 
       -53       - 53 

<u>32x</u> = <u>448</u>
32       32

x = 14 
6 0
3 years ago
Read 2 more answers
How would you get your answer from this question
makkiz [27]
Other people answer for you :) like I am now
8 0
3 years ago
Read 2 more answers
Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams
hram777 [196]

Answer:

X(16)=25.71grams

Step-by-step explanation:

let X(t) denote grams of C formed in  t mins.

For X grams of C we have:

\frac{2}{3}Xg of A and \frac{1}{3}Xg of B

Amounts of A,B remaining at any given time is expressed as:

40-\frac{2}{3}Xg of A and  50-\frac{1}{3}Xg  of B

Rate at which C is formed satisfies:

\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt  \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}

Apply the initial condition,X(0)=0 ,to the expression above

0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}

Now at X(8)=15:

15=90-\frac{90}{90\times 8k+1}  \ ->75=\frac{90}{720k+1}\\k=0.0002778

Substitute  in X(t) to get

X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71

5 0
3 years ago
Other questions:
  • Write(3-7i)-(-11+5i) as a complex number in standard form
    13·1 answer
  • Please help me out with this
    12·2 answers
  • Translate the following into an algebraic expression:
    6·1 answer
  • Which expression is equivalent to (18x + 9k) + (2x + 6k)?
    11·2 answers
  • Does anyone happen to know how to solve this?​
    14·1 answer
  • Find the value of x, &amp; y.<br> 3x-y+8x-7=x+2y+5x+3y
    8·1 answer
  • What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tent
    7·1 answer
  • Write a division equation that represents the question: how many 3/8s are in 5/4​
    9·1 answer
  • HElp fasttttttttttttttttttttttttt
    7·1 answer
  • A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!