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
mina [271]
3 years ago
8

a rectangle has a length that is nine feet less than four times its width. Its area is 90 ft. Algebraically determine the length

of its width and length. Show work
Mathematics
1 answer:
sammy [17]3 years ago
6 0
Ok... after much confusion, I've come to the conclusion that you must have written the question wrong and it's actually the perimeter that is 90 feet so that's how I'm going to work it...

Width = w
Length = 4w - 9

P = 2w x 2L
90 = 2w + 2(4w - 9)
90 = 2w + 8w - 18
90 = 10w - 18
108 = 10w
108/10 = w
10 4/5 = w

Width is 10 4/5 ft

Length = 4w - 9
L = 4(10 4/5) - 9
L = 43 1/5 - 9
L = 34 1/5 ft

Length 34 1/5 ft  Width 10 4/5 ft or
Length 34.2 ft and width 10.8 ft

You might be interested in
X=17-4y<br> y=x-2<br> answer by substitution
GaryK [48]

Answer:

(5,3)

Step-by-step explanation:

x=17-4y

x=17-4x+8

x=25-4x

5x=25

x=5

y=x-2

y=5-2

y=3

(5,3)

5 0
3 years ago
Which of these is an equivalent expression for x-3 that uses positive exponents?
nignag [31]
Wait are you going to send a picture to fully show us what the question is about
5 0
3 years ago
Read 2 more answers
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 f
stiv31 [10]
$2,424 was collected for the day
31(45)=1395
21(49)=1029
$2,424
6 0
3 years ago
Consider the following number line.
pshichka [43]

Answer:

The choice A

Step-by-step explanation:

B+A=BA+BA+BA=3BA

6 0
3 years ago
The sequence {an) is defined by ao = 1 and
otez555 [7]
<h3>Answer: 31</h3>

=======================================

Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\

This is used to find a3

a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\

Finally we can now find a4

a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

6 0
3 years ago
Other questions:
  • Suppose the working-age population of a fictional economy falls into the following categories: 90 are retired or homemakers; 60
    15·1 answer
  • A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Checkpoint A 1:00 PM T
    6·1 answer
  • 4k + 15 greater than -2k + 3
    15·1 answer
  • HELP A BROTHER OUT! PLEASE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU
    6·1 answer
  • Simplify. 45 points, thank you! :)
    15·2 answers
  • Does anyone know how to do this? How do you know if you do just 150=4x-6 OR 150+4x-6=180? I don’t understand how to tell which o
    9·1 answer
  • Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4,
    15·1 answer
  • Which graph represents the linear function y = x 3/4– 4?
    15·1 answer
  • What is the area of a triangle with base of 20 feet and a vertical height
    13·1 answer
  • PLS JELP NOWOWOWIWOW
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!