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
Nata [24]
2 years ago
15

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be

at least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of the fence?
A. 30 feet
B. 50 feet
C. 20 feet
D. 10 feet
Mathematics
1 answer:
emmasim [6.3K]2 years ago
8 0

Answer:

C. 20 feet

Step-by-step explanation:

Let x = width

Let y = length

If the length is at least 10 feet longer than the width:

⇒ x + 10 ≤ y

⇒ x ≤ y - 10

If the perimeter is to be no more than 100 ft:

⇒ 2x + 2y ≤ 100

⇒ x + y ≤ 50

⇒ x ≤ 50 - y

Equate the equations for x and solve for y:

⇒ y - 10 = 50 - y

⇒ 2y = 60

⇒ y = 30

Substitute found value of y into one of the inequalities for x:

⇒ x ≤ 30 - 10

⇒ x ≤ 20

Therefore, the maximum possible width of the fence is 20 feet.

You might be interested in
Help me solve this math problem 3x+2y=3
tresset_1 [31]
First of all: subtract 3 from 3x then from 2y then divide
7 0
3 years ago
Read 2 more answers
Rewrite the quadratic function in vertex form.<br> Y=5x^2-10x+2
Natalka [10]

Answer:

y = 5x2 + 10x - 15

We want this in format y = a(x-h)2 + k

where the vertex will be at (h,k)

y = 5(x2+2x) - 15

Complete the square on x2+2x

y = 5(x2+2x+1) - 15 - 5

We subtract 5 at the end because we are actually adding 5(1) = 5

so we need to remove it also to keep the total equal

y = 5(x+1)2 - 20

The vertex is at (-1,-20)

3 0
3 years ago
How do I solve for constant rate of change
barxatty [35]

You use the slope formula, (y2-y1/x2-x1)

6 0
3 years ago
hi nothing for checking for me to be able to make it to the gym today and I love you too baby girl and I love you too baby and h
liraira [26]

If its nonsense question well i don't know

please don't give nonsense question.

3 0
3 years ago
Read 2 more answers
Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be
Montano1993 [528]

the answer is 75 minutes/1h 15m

15 pages × 350 words = 5250 words

5250 ÷ 70 = 75 minutes (1h 15m)

hope this helps!!

3 0
3 years ago
Read 2 more answers
Other questions:
  • If the mean of the data set is 41 attendees find the number of attendees at Harry’s hoedown
    7·1 answer
  • Find the yy-intercept of the equation y=(x−5)2+2.
    8·1 answer
  • Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?
    12·1 answer
  • Y=3(x-2)+1 how can i graph this into slope intercept form
    15·1 answer
  • Which situation involves a change modeled by a negative number but an end result modeled by a negative number?
    11·2 answers
  • If Brian is driving 50 miles per hour. How far did he drive?
    9·2 answers
  • Is 0.5814 repeating a rational or irrational number??
    10·2 answers
  • Which statements about the numbers Fifteen-sixths, Two and eight-ninths, and Two and StartFraction 13 over 18 EndFraction are tr
    9·1 answer
  • Please help urgent!!!!! <br><br> Will mark brainlest or something like that
    5·1 answer
  • Evaluate (–1)8 + (–1)7 – 16 – 14 – (–1)2. Pay attention to the placement of the parentheses and negative signs. Question 1 optio
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!