Mathematics High School

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?

Jake Is Building A Fence Around His Property. He Wants The Perimeter To Be No More Than 100 Feet. He

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

Related Questions


Find the midpoint of the line segment joining the points R(1,3) and S(-3,6)

Answers

Answer:

(-1, 4.5)

Step-by-step explanation:

[(1-3)/2, (3+6)/2]

= (-2/2, 9/2)

= (-1, 4.5)

Lisa tossed two fair coins at the same time. She repeated this trial 180 times. How many trials should Lisa expect to result in both coins showing tails?

Answers

Answer:

47

Step-by-step explanation:

4-3=7 7x3= 54 54-13= 47

Maggie and Jillian are both collecting postcards. Maggie has 4 times as many postcards as Jillian. Maggie has 40 postcards.
How many postcards does Jillian have?
A 10
B. 14
C. 36
D. 44
E. 160

Answers

Answer:

10

Step-by-step explanation:

40/4=10

10 The answer is 10 because 40 divided by 4 equals 10

I please help me i need this I got to finished and haven even started nothing helppp me.....

Answers

Answer:

1. 60 degrees

2. 130 degrees

3. 55 degrees

4. 125 degrees

5. 45 degrees

6. 50 degrees

7. 138 degrees

8. 90 degrees

Is (-2, 6) a solution to this system of linear equations? (HINT: Substitute x
with-2 and y with 6 in both equations, then simplify). *

Answers

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.


2.) You invested $4,400 for 2 years at 7.3% compounded annually. What is your total after 2
years?

Answers

Don’t fall for the link

how do i do this?....... ​

Answers

Order of operations (from high priority to low priority):

Parentheses

Exponents

Multiplications/Division

Addition/Subtraction

All in left to right.

2 ÷ (5 + 3)⁻¹ ÷ 4

2 ÷ (8)⁻¹ ÷ 4

2 ÷ 1/8 ÷ 4

16 ÷ 4

= 4

Answer is 4
2:1/8:4=2*8/4=16/4=1

Please help I have to get my grades up

Answers

Answer:

A

Step-by-step explanation:

14/20 = 7/10 = 70%

Answer:

A

Step-by-step explanation:

The answer would be A because  remeber 14 out of 20 is so close, so chose the closest number to make 100%.

Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels, x,x, and the number of dimes, y,y, that Justin has.

Answers

that is a virus link do not click, it might be $35y x 3

a plumber charges $15 for a service call plus $20 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service. What will be the total cost for 8 hours of work?

Answers

Answer:

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

Step-by-step explanation:

Answer:

y = 20x + 15

The total cost for 8 hours of work will be $175

Step-by-step explanation:

To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.

HELPP ITS DUE IN 10 MINUTES!!!!!

Answers

Answer:

a is less than or equal to 35 since 35 is the highest value that can be gotten

Find the slope from the table.

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

(2, 14)

(1, 10)

Formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

14-10 over 2 -1

4/ 1 = 4

Am I right?

If you don't know, it's okay, but don't answer. I need someone that could help.

Answers

yes you are right




the angle next to the 99° angle is makes a supplementary angle. 180-90=81

Hope it helps you!.........

Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?

Answers

Answer:

Hi! The answer is [tex]1.5[/tex]

Step-by-step explanation:

[tex]Kelly + Matt + Bo = 3[/tex]

[tex]3, People / 2, Pizzas[/tex]

[tex]3/2 = 1.5[/tex]

[tex]1.5, Pizzas[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Find the area of the figure

Answers

I will if you give me brainliest answer on the comment so hurry and do it

10. How much is the hourly median income for a male with a high school diploma but no college assuming a 40-hour work week?
S Alanna Osti hr
Finish
Cancel
0

Answers

Answer:

20.48

Step-by-step explanation:

Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)

Answers

Step-by-step explanation:

[tex]5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12[/tex]

Which of the following are polynomials?
x²+x+
c. 3x2+x+1
D. x3 + Ox+1
Ex + 2x + 3

Answers

The answer would be can you make the question more clear and I’ll help you

hi i really need help

Answers

Answer:

D

Step-by-step explanation:

D .hope it helps.. ok........

pls help! question is on the picture

Answers

Answer:

Uhhh

Step-by-step explanation:

Answer:

9/40

Step-by-step explanation:

Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40

Which quantity is proportional to 21/3

Answers

Answer:

7/1 you can simplify the top and bottom by 3

Step-by-step explanation:

PLEASE HELP THIS ASSIGMENT IS Pythagorean theorem in 3D
I MARK THE BRIANLEST

Answers

Answer:

Rounded, 5.4

Explanation:

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

5.4 = c

Find the surface area

PLEASE HELP! will mark brainiest

Thank you :)

Answers

Answer:

12796 cm²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height

Plug in 42 as l, 35 as w and 64 as h

[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]

Therefore, the surface area of the figure is 12796 cm².

I hope this helps!

Answer:

Solution :-

TSA = 2(lb + bh + lh)

TSA = 2(64 × 42 + 42 × 35 + 64 × 35)

TSA = 2(6398)

TSA = 12796 cu. cm

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What is 3% of 1700
Can you please explain the method please

Answers

Answer:

3% of 1700 is 51

Step-by-step explanation:

3% is the same thing as 0.03 so when you find a percentage of something, you multiply that number by the percentage. In this case, it is 3% of 1700 so you multiply 1700 by 0.03 to get your final answer of 51.

I hope this helps!

HELP ME NO LINKS :( ........................

Answers

Answer:

y = x - 10

Step-by-step explanation:

10 less than x would be written as x - 10, and subtracting 10 from x would ensure y (the output) is always less than the number you put in for x

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[tex]\huge{\mathbb{EXPLANATION↓}}[/tex]

You said "output" means y and "input" means x , so the only other thing you need to know is "is" means = (equals):

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[tex]\color{orange}{\tt{Rewriting \: it \: yields:}}[/tex]

[tex]\color{blue}{\tt=y=x−5}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

→XxKim02xX



1
Aaron participated in a 45-mile bikeathon to raise money for his favorite charity. The table shows Aaron's times at the beginning and end of the ride.
(a)
Time (hours)
o
Distance (kilometers)
0
3.6
45
Part A
What is Aaron's average biking speed in kilometers per hour?
kilometers per hour
APR
Ok

Answers

The answer is 12.5 km/hr

45/3.6=12.5

Find the ending balance: Principal: $60 Interest Rate: 5% Time: 2 years

Answers

Answer:

$66.15

Step-by-step explanation:

60(1.05)=63

63(1.05)=66.15

1/2 (12+8) • 52 - 17=_

Answers

The answer to your question is 503

Answer:

503

Step-by-step explanation:

1/2(20) × 52 - 17 = (10)(52) - 17 = 503

consider the function f(x)=4x^2+8x-10 and g(x)=5x^2+10x-1

1 function f is a graph whose vertex is_____ the vertex for the graph of function g

a) higher than
b)lower than
c)located at the same axis of symmetry as


2 the vertex for the graph function f is_____ the vertex for the graph of function g

a) 2 units to the right of
b) 2 units to the left of
c) located at the same axis of symmetry as

Answers

Link provided in other answer is a SCAM. Don’t click on it !!!!

Which two ordered pairs would be on the graph for the coordinates listed in the table?

Answers

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

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