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
LenKa [72]
3 years ago
12

At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as

its width. A maximum of 150 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
Mathematics
1 answer:
sasho [114]3 years ago
7 0

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2

substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

You might be interested in
13.1: Equivalent Expressions
scoundrel [369]

Distributive Property:  a ( b + c) = (a*b) + (a*c)

b)   x(x + 9) =  x*x + 9*x

               = x² + 9x    

c)  x² - 18x

     x² = x * x

  18x  = 18 *x

G C F = x

Greatest common factor in both the terms is 'x'.Take the common variable from both the terms.

x² - 18x = x*x - 18*x

            = x (x - 18)

           

Standard form.                Factored form

      x²                                     x*x

x²  +  9x                             x(x +9)

    x² - 18x                           x(x - 18)  

-x² + 10x                             x(-x + 10) = x(10 -x)

-x² - 2.75x                          -x(x + 2.75)

3 0
2 years ago
PLZ HELP<br> divide<br> 4 1/5 ÷ 2/3 <br> express your answer as a mixed number in simplest from
Sunny_sXe [5.5K]

Answer:

63/15

Step-by-step explanation:

oi

8 0
3 years ago
Read 2 more answers
Please answer ASAP!!!!!!!!!!!!!!!!!!
Papessa [141]
Which question? There are 2 different questions here .
6 0
3 years ago
Thanks for the help!
NikAS [45]

Answer:

A

Step-by-step explanation:

So we have the piecewise function:

f(x)= \begin{cases}\sqrt{2x} & \text{if }x

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

f(x)=42\text{ if }x\geq 8

f(8)=42

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

3 0
3 years ago
Please help me! i linked the image that has the question
ycow [4]

Answer:

Step-by-step explanation:

The area of a trapezoid is the average of the parallel bases times the height.

A=h(a+b)/2 and since we have two identical trapezoids the total are will be

A=h(a+b) in this case

A=15(32+25)=855mm^2

7 0
3 years ago
Other questions:
  • What does 3 × something is 27
    6·2 answers
  • If ƒ(x) = -4x - 7 and g(x) = 1/x ^2 , then what is the value of g(ƒ(-2))?
    8·1 answer
  • Which of the following is the range thanks
    5·1 answer
  • A person invests 5000 dollars in a bank. The bank pays 6.5% interest compounded monthly. To the nearest tenth of a year, how lon
    6·2 answers
  • How many gallons of a 30% salt solution must be added to 40 gallons of a 12% salt solution to obtain a 20% solution?
    12·1 answer
  • Simplify completely quantity x squared minus 4 x plus 4 over quantity x squared plus 10 x plus 25 times quantity x plus 5 over q
    13·1 answer
  • I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......
    14·1 answer
  • Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per perso
    8·1 answer
  • The Travers are adding a new room to their house. The room will be a cube with volume
    7·1 answer
  • Need help lol
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!