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
iogann1982 [59]
3 years ago
7

A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square y

ards. find the width of the lawn that surrounds the garden.
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0
The lawn area of uniform width can be written as follows:
 A = (40 + 2x) * (35 + 2x) - (40) * (35)
 Where,
 x: width of the lawn
 Substituting the value of the area we have:
 316 = (40 + 2x) * (35 + 2x) - (40) * (35)
 Rewriting:
 316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
 Rewriting we have:
 4x ^ 2 + 150x - 316 = 0
 Solving the polynomial we have:
 x1 = - 79/2
 x2 = 2
 Taking the positive root we have that the grass width des:
 x = 2 yards
 Answer:
 
The width of the lawn that surrounds the garden is:
 
x = 2 yards
You might be interested in
Situation: A 25 gram sample of a substance thats used for to sterilize surgircal instruments has a k-value of 0.1205. N=Noe^-kt
Naya [18.7K]
Going by the formula, Half-Life = ln(.5) / k
Half-Life = .693147 / .1205
Half-Life = 5.75 days and rounded to nearest tenth,
Half-Life = 5.8 days

5 0
4 years ago
I need to know the answer to part A and B
Viefleur [7K]
Sorry I cannot help you I do not know the answer
7 0
3 years ago
The rule for this sequence is to add the same number each time
NikAS [45]

Answer:

Depends on the starting number

Step-by-step explanation:

6 0
3 years ago
Make u the subject- <br> 1) a=1/u + 1/2
Vlad [161]

Answer:

u=2/2a-1

Step-by-step explanation:

a=1/u +1/2

you find the LCM first which is 2u

a=2+u/2u

cross multiply

2au=2+u

subtract u from both sides

2au-u=2

u is common to the right hand side

u(2a-1)=2

divide through by 2a-1

u=2/2a-1

4 0
3 years ago
20≥8+4.99x please I could get an F.
marin [14]

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{1200}{499}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.40480\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{1200}{499}]\end{bmatrix}

Step-by-step explanation:

20\ge \:8+4.99x\\Switch\:sides\\8+4.99x\le \:20\\\mathrm{Multiply\:both\:sides\:by\:}100\\8\cdot \:100+4.99x\cdot \:100\le \:20\cdot \:100\\Refine\\800+499x\le \:2000\\\mathrm{Subtract\:}800\mathrm{\:from\:both\:sides}\\800+499x-800\le \:2000-800\\Simplify\\499x\le \:1200\\\mathrm{Divide\:both\:sides\:by\:}499\\\frac{499x}{499}\le \frac{1200}{499}\\Simplify\geq \\x\le \frac{1200}{499}

5 0
3 years ago
Other questions:
  • Find the average value of the function f(x, y) = 7/ x2 + y2 on the annular region a2 ≤ x2 + y2 ≤ b2, where 0 &lt; a &lt;
    5·1 answer
  • F(x)=-3x^2+9x-8 Find f(5)
    10·2 answers
  • Hurry please answerrr photo 40 points ANSWER NUMBER 9 please question is in photo
    14·1 answer
  • Somebody help plz I need help
    6·1 answer
  • Original amount: 17, new amount: 21
    13·2 answers
  • PLEASE PLEASE HELP I WILL GIVBE BRAINLIEST
    9·1 answer
  • Any mind helping? 15 Points! :&gt;
    10·2 answers
  • The average volleyball player is 74 inches tall. What is the average height in meters?
    5·1 answer
  • Solve the equation:<br>x/5=-7​
    14·2 answers
  • Pls help me out<br> 6x + 12x = 90
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!