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
yan [13]
3 years ago
10

The width of a fenced yard is 6 yards less than the length. And the perimeter is less than it equal to 72 yards. Write the inequ

ality (simplified) that u would use to solve for the dimensions of the fence.
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

Length = 21 yards

Width = 15 yards

Step-by-step explanation:

Let

Length = x

Width = x - 6

Perimeter ≤ 71 yards

Perimeter of a rectangle = 2 (length + width)

72 ≤ 2(x + x-6)

72 ≤ 2 (2x - 6)

72 ≤ 4x - 12

72 + 12 ≤ 4x

84 ≤ 4x

x ≤ 84/4

x ≤ 21

Length = x = 21 yards

Width = x - 6

= 21 - 6

= 15 yards

You might be interested in
Jayne is driving 440 miles and wants to make the trip in 8 hours. write an equation and solve to determine the average speed jay
Nuetrik [128]
Distance÷time
440÷8= 55
Therefore he needs to drive at the speed of 55 miles/hour
7 0
2 years ago
A reflection of shape I....
inn [45]

interestingifgihdfhguehr

6 0
3 years ago
Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
(3,y) (1,4) m= -2 what is the value of y if the line through the two given points is to have indicated slope
riadik2000 [5.3K]

Answer:

y=0

Step-by-step explanation:

The equation for the slope is

m = ( y2-y1)/(x2-x1)

-2 = (4-y)/(1-3)

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

5 0
2 years ago
Can a table still be a function if the x values arent the same but 2 y values are the same?
Contact [7]
The answer is yes.

Its yes because it exactly one input(x) & multi outputs(y). <span />
5 0
3 years ago
Other questions:
  • Solve the given inequality and graph the solution on a number line -x/2 + 3/2 &lt; 5/2
    11·1 answer
  • a basketball coach plotted data about her shooting guards playing time and point scoring in a scatterplot
    14·2 answers
  • PLEASE HELP!! Determine whether f is an exponential function of x. If so, find the constant ratio.
    14·1 answer
  • BRAINLIEST ANSWER IS GOING TO BE GIVEN
    13·2 answers
  • 15 points!!! GEOMETRY help please!!<br> Questions attached!
    8·2 answers
  • What is the answer to -5x+7y=11<br> -5x+3y=19
    10·2 answers
  • HELP!
    14·2 answers
  • 10th grade volume of prisms
    12·1 answer
  • Hey guys I’m really struggling with these questions I know there’s alot all at once but if you can help me with either I would b
    12·1 answer
  • Let f(x) = 3x and g(x) = x2 + 1. Find g(f(x))
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!