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
Andre45 [30]
2 years ago
10

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 20 feet. The perimeter of the dog run mu

st be at least 48 feet and no more than 80 feet. Use a compound inequality to find the range of values for the width of the dog run.
Mathematics
1 answer:
worty [1.4K]2 years ago
5 0

Answer:

Step-by-step explanation:

Perimiter = distance around. In this case the sum of the lengths and breadths of the dog run.

let a = length and b = breadth

2a + 2b ≥ 48

2a + 2b ≤ 80

since a = 20, we substitute for a in both equations

2 (20) + 2b ≥ 48

40 + 2b ≥ 48

2b ≥ 48 - 40

2b ≥ 8

b ≥ 4

In the second equation, we have;

2(20) + 2b ≤ 80

40 +2b ≤ 80

2b ≤ 80 - 40

2b ≤ 40

b ≤ 20

So the width must be between 4ft and 20ft for the dog run to be within the requisite criteria

You might be interested in
You are planning to work in the summer (13 weeks). You
Llana [10]

Answer:

(a) Equations for both

y = 500 + 12x --- lifeguard

y = 15x --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

x \to hours

y \to total\ pay

Given

Lifeguard job

Signing\ bonus = \$500

Rate = \$12/hr

Camp counselor job

Signing\ bonus =\$0

Rate = \$15/hr

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

y = 500 + 12*x

y = 500 + 12x

Camp counselor

y = 0 + 15 * x

y = 15x

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

x = 5hrs/day * 5days

x = 25hrs

So, the pay for each is:

y = 500 + 12x

y =500 + 12*25

y =800 --- Lifeguard

y = 15x

y = 15 * 25

y = 375 --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

800 > 375

<em>Hence, lifeguard job pays more</em>

6 0
3 years ago
A diver went 25.65 feet below the surface of the ocean and then 16.5 feet further down he then rose 12.45 feet write and solve a
Anastaziya [24]
So a diver went 25.65 ft BELOW so it's negative.
then he went 16.5 ft further down, so that's negative also.
he then rose 12.45 ft, so that's positive.
so the expression is: -25.65+-16.5+12.45, the answer is 23.7
8 0
3 years ago
Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is
12345 [234]

Answer:

3,468

Step-by-step explanation:

i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468

5 0
3 years ago
Simplify each expression involving signed numbers.
7nadin3 [17]

Answer:

-7 - 2 = -9 (combine the numbers,simplify)

12 + (-4) = 8 (Simplify the Expression)

-8(-6) = 48 (Simplify the Expression)

18/-3 = -6 ( Simplify the Expression)

Hope this helps :)

3 0
2 years ago
Read 2 more answers
Please help ill mark brainliest​
liraira [26]

Answer:

it's 11

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • the belisimo brand has seven sizes of mens jeans,which come in three different pant length and four different colors​
    15·1 answer
  • Compound interest £2000 for 3 years 5.5% annum
    11·1 answer
  • Ema bought 6 bags of walnuts . Each bag contained 3/4 of a pound of walnuts . What was the total weight of the walnuts??
    6·2 answers
  • 42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population in
    15·1 answer
  • Choose the best answer for this length.
    11·1 answer
  • H(y) models the leading number of home runs for season y on the National League between the years 2000-2010, according to the ta
    6·2 answers
  • Can you help me with this one?
    11·1 answer
  • What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
    14·1 answer
  • Nmbffggyffgggggggggggggg
    12·2 answers
  • A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for red, 1/20 fo
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!