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
pantera1 [17]
3 years ago
5

Abc daycare wants to build a fence to enclose a rectangular playground. the area of the playground is 930 square feet. the fence

along three of the sides costs $5 per foot and the fence along the fourth side, which will be made of brick, costs $20 per foot. find the length of the brick fence that will minimize the cost of enclosing the playground. (round your answer to one decimal place.)
Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
Xy = 940 

<span>and </span>

<span>Cost = 5(2x) + 5y + 10y (I chose y to be the side with brick). The cost equation simplifies to: </span>

<span>C = 10x + 15y </span>

<span>Replace y in the cost equation with 940/x: </span>

<span>C = 10x + 15(940/x) </span>

<span>C = 10x + 14100/x <---this is the equation you need to minimize. </span>

<span>C' = 10 - 14100/x^2 </span>

<span>10 - 14100/x^2 = 0 </span>

<span>14100/x^2 = 10 </span>

<span>x^2 = 14100/10 = 1410 </span>

<span>x = sqrt(1410) = 37.55 </span>

<span>y = 25.03 <---this is the length of the brick fence.</span>
You might be interested in
Help I need to turn this in 15mins
Assoli18 [71]
9 = 4
18 = 8
27 = 12
36 = 16
45 = 20
5 0
3 years ago
PLEASE HELP 15 POINTS<br><br><br> -8 - h = 2(-.5h + 4)
Vanyuwa [196]

Answer:

h= -6

Step-by-step explanation:

-8-h=2(-.5h+4)

-8-h=h+4

-2h=12

h=-6

3 0
3 years ago
a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?​
victus00 [196]

Answer:

35.9 grams

Step-by-step explanation:

We use the formula:

q=m*C_p*\Delta T

Where

q is heat released

m is mass

C_p is the constant 2.44

ΔT is change in temperature

We put the info in the formula and solve for m (mass):

q=m*C_p*\Delta T\\-3.12 =  m*2.44(12.3-47.9)\\-3.12*10^3=m*(-86.864)\\m=35.9

The mass of ethanol is 35.9 grams

8 0
3 years ago
AC=(5x+12) and BD =8x? Can somebody help me to slove it
AleksAgata [21]
To solve this equation from the information given above, I ordered it 5x+12=8x. To solve, I subtracted 5x from each side, canceling the 5x to your left, leaving only the number 12. 8x minus 5x equals 3x. Take 3x and divide on both sides. 3x/3x cancels the 3, leaving 12/3 equals 4. Finally, x equals 4.
3 0
3 years ago
Factorise each of the following<br> a2+9a+8
Tanzania [10]

Answer:

Step-by-step explanation:

I suppose the expression is this a^2+9a+8.

We can factor out this expression ( Remember, find two numbers that the sum is 9 and the product is 8. The numbers are 8 and 1)

a^2+9a+8=(a+1)(a+8)

8 0
2 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE!!
    14·1 answer
  • Short-term financial goals include saving for _ A.spending in the near future
    13·1 answer
  • A student solved this problem by working backward.
    6·1 answer
  • For what values of p is the value of the binomial 1.5p−1 smaller than the value of the binomial 1+1.1p by 4?
    15·1 answer
  • Jarek buys jerseys for his team online. He pays a constant shipping price plus a special rate for each jersey. During the spring
    13·1 answer
  • 3200 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it tak
    9·2 answers
  • What is a root of a polynomial function?
    15·2 answers
  • In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\c
    5·2 answers
  • Need help with school work
    10·1 answer
  • Six hundred ninety-seven multiplied by sixty-four
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!