answer.
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
a_sh-v [17]
2 years ago
15

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing

for the north and south sides costs only $2 per foot. I have a budget of $176 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose?
Mathematics
1 answer:
ss7ja [257]2 years ago
5 0
X = E/W dimension 
<span>y = N/S dimension </span>

<span>4x + 4x + 2y + 2y = 64 </span>
<span>8x + 4y = 64 </span>
<span>4y = 64 - 8x </span>
<span>y = 16 - 2x </span>

<span>Area = xy = x(16 - 2x) = 16x - 2x^2 </span>

<span>Maximum of y = ax^2 + bx + c is when x = -b / 2a </span>

<span>so x = -16 / -4 = 4 </span>
You might be interested in
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual fo
netineya [11]

Answer: A Only

Step-by-step explanation:

To determine that a linear model is appropriate, the residual plot should be randomly dispersed.

8 0
2 years ago
Read 2 more answers
There are 18 people waiting in the bus queue. Half of them are going to Langdale How many people are going to Langdale
Ludmilka [50]
If you would like to know how many people are going to Langdale, you can calculate this using the following steps:

18 people
half of them: 18/2 = 9 people

Result: 9 people are going to Langdale. 
6 0
2 years ago
Read 2 more answers
Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
Ted is a long distance driver. It took him 30 min longer to drive 275km on the Trans-Canada highway west of Swift Current, Saska
IRISSAK [1]

Speed traveling west = x - 10 km /hr


275 / ( x-10) - 300 / x = 1/2



275 *2x - 300 (x-10)*2 = ( x-10) *x



550x - 600x +6000 = x^2 -10x



x^2 +40x - 6000 = 0


( x -60) ( x+100) = 0


x = 60


ANSWER East = 60 km/ hr West = 50 km /hr


CHECK


300 /60 = 5 hours

275 /50 = 5.5 hours

7 0
2 years ago
Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type do
user100 [1]

Given maria has \\\$ 2.43 in the pennies & quarters.

she has twice as many pennies  as quarters.

find out the coins

let us assume the  quarters are x

than the pennies are 2x.

Formula

 value of the pennies +  value of the quarters = total value of coins

1 quarters =$ 0.25

1 pennies = $0.01

Thus

0.25x + 0.01 (2x) = 2.43

0.27 x = 2.43

x = 9

2x = 18

i.e the number of quarters are 9 and the number of pennies are 18.

Hence proved





5 0
2 years ago
Read 2 more answers
Other questions:
  • A rectangle is 5 √7 + 2 √3 meters long and 6 √7 - 3 √3 meters wide. a. Find the perimeter of the rectangle in simplest form. 2 b
    9·1 answer
  • How many unit angles does the smaller angle of a tan pattern block turn through?
    10·2 answers
  • Suppose △PKN≅△BGH△PKN≅△BGH. Which other congruency statements are correct? Select each correct answer. △NKP≅△HBG△NKP≅△HBG △KPN≅△
    9·1 answer
  • Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon. What is the total value of the coupons
    6·2 answers
  • Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was
    9·2 answers
  • Suppose a baseball team has 14 players on the roster who are not members of the pitching staff. Of those 14 players, assume that
    6·1 answer
  • Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear
    13·1 answer
  • Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
    7·1 answer
  • Find the value of MN if AB = 18 cm, BC = 14.4 cm, and LM = 24 cm.
    9·1 answer
  • 4. A sum of money is divided among Khairul, Michael and Ethan in the ratio 6:4:5. After Khairul
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!