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
Jobisdone [24]
3 years ago
7

an architect designs a rectangular flower garden such that the width is exactly two thirds of the length. if 230 feet of antique

picket fencing are to be used to enclose the garden, find the dimensions of the garden.
Mathematics
1 answer:
Oliga [24]3 years ago
4 0

Answer:

<h2>length = 69 ft.</h2><h2> width = 46 ft.</h2>

Step-by-step explanation:

perimeter (p) = 2L + 2W

where P = 230 ft.

W = 2/3L

plugin values into the formula:

230 = 2L + 2(2L/3)

230 = 2L + 4/3L

230 = 10/3L

L = 690/10

L = 69

W = 2/3L

W = (2/3) 69

W = 46

P = 2(69) + 2(46)

P = 230 ft.

therefore,

the dimensions of the rectangular garden:

length = 69 ft

width = 46 ft.

You might be interested in
Use compatible numbers to estimate the quotient of 776÷28
kiruha [24]
The answer to ur division problem would be 27.6785714286<span>
</span>
4 0
3 years ago
$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest
Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

4 0
1 year ago
What is 6 divided by 1,932
yawa3891 [41]

Step-by-step explanation:

do u mean 1,932 divided by six?

8 0
2 years ago
Read 2 more answers
A certain number is multiplied by 2
Anna35 [415]

I believe this is the answer and how to get it

6 0
1 year ago
Someone please help me, it’s NOT 28 I tried that already
prohojiy [21]
Perimeter of this = 29.4 cm
7 0
3 years ago
Read 2 more answers
Other questions:
  • I woke up at 6:47 a.M. I spent 25 minutes showering and getting dressed then I walked down stairs. I got down stairs at blank I
    10·1 answer
  • Classify ABC by its angles when mA = 32°, mB = 95°, and mC = 53°.
    7·2 answers
  • Find AB.<br> Round to the nearest tenth.<br> 61°
    9·2 answers
  • How many years are in Three scores
    13·1 answer
  • HELP ME! RIGHT NOW!!
    8·2 answers
  • Cloe, Dixie Doll treasurer, deposits the club’s receipts. She has 4 checks for $10.00 each, 12 for $7.50, and cash consisting of
    7·1 answer
  • Three coins are tossed.Find the probablility that two land on heads.
    15·1 answer
  • Please show all work :)
    13·1 answer
  • Someone help me please.
    10·2 answers
  • If the simple interest on ​$4000 for 8 years is ​$2240​, then what is the interest​ rate?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!