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
leonid [27]
3 years ago
15

Suzanne has a rectangular garden which is 18 feet long and 11 feet wide. She has 168 square foot of paving stones, and she wants

to build a pathway around the border of the garden. How wide will the pathway be?
Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

width = 2.5 feet

Step-by-step explanation:

Suzanne has a rectangular garden which is 18 feet long and 11 feet wide.

Area of the garden = length times width = 18 times 11= 198 square foot

Let 'w' be the width of the border

Length of the garden with border = 18+2w

Width of the garden with border = 11+2w

Area of the garden with border = (18+2w)(11+2w)=4w^2+58w+198

Area of the border = 4w^2+58w+198-198=4w^2+58w

She has 168 square foot of paving stones,

4w^2+58w=168

Solve for w

apply quadratic formula

a= 4, b= 58 and c=-168

\quad x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

w=\frac{-58+-\sqrt{58^2-4\cdot \:4\left(-168\right)}}{2\cdot \:4}

w=\frac{-58+-\sqrt{6052}}{8}

we get two values for w

w=\frac{-58+\sqrt{6052}}{8}=2.47

w=\frac{-58-\sqrt{6052}}{8}=-16.97

You might be interested in
At Fabco, there are 156 boots, which make up 26% of the shoes in the store. At Famous Footwear, there are 130 boots, which make
PtichkaEL [24]

Answer:

Famous Footwear has the most sheos.

Step-by-step explanation:

156/26=6=1%

6x100=600

At Fabco there are 600 sheos

130/13=10=1%

10x100=1000

At Famous Footwear there are 1000 sheos

7 0
3 years ago
Michael paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did he buy?
Charra [1.4K]
Michael bought 3.5 lbs of cheese 

Divide 11.48 by 3.28
3 0
2 years ago
Read 2 more answers
Solve the equation for h? X=r-h/y
Troyanec [42]

Answer:

h = yX -yr

Step-by-step explanation:

X=r-h/y

X - r = h/y

y*(X-r) = h

h = yX -yr

4 0
2 years ago
PLEASEEE HELP!!
Kazeer [188]

Answer:

-60 and -28

Step-by-step explanation:

-60 + 42= -18

CHECK:

-42-18=-60

-56+-28=-84

CHECK:

-84+28=-56

Hope this helps <3 Need thanks? Comment /hearthelp

3 0
3 years ago
Read 2 more answers
Anna wants to make 4 sets of curtains. Each set requires 5 1/8 yards of fabric. How much fabric does she need?
Nesterboy [21]
20 yards
take 5 1/8 and make that into 40/8 and then you will divide 40 into 8 and it = 5 so then you do 4x5=20

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone plz answer this?
    8·1 answer
  • Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old. If the equation t – 3.5 = 22.5 models the situation, fi
    6·2 answers
  • What is used to support the steps of a geometric proof
    14·1 answer
  • explain how you can break apart one of the addends to make a ten to find the number of points jeannie and kevin scored
    15·1 answer
  • A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time i
    10·1 answer
  • What is the solution to the following equation? <br><br> |3x - 6| = 10
    14·1 answer
  • From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?
    11·2 answers
  • If signs are the same in addition, what is the<br> rule?<br><br> Example 6 + 6 =<br> (-6) + (-6)
    5·1 answer
  • What is the value of y?<br> Thankss
    11·2 answers
  • Guys please help me this is due tonight thanks
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!