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
Setler79 [48]
2 years ago
14

Last night, Julie’s pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the co

rner of her cage. Zoe ran on the wheel at least twice as long as she scratched at the quarters of her cage, and she spent more than 1/4 hour rubbing on her wheel.
Which System of inequalities represents the time Zoe kept Julie awake last night if X is the number of hours that she spent running on her wheel and y is the number of hours spent scratching at her cage?
Mathematics
1 answer:
Irina18 [472]2 years ago
6 0

Answer:

x+y\geq 1

x\geq 2y

x\geq \frac{1}{4}

Step-by-step explanation:

In order to solve this problem, we just need to translate mathematically what the problem is talking about. First, we know that:

x=# of hours she spent running on her wheel.

y = # of hourse she spent scratching at her cage.

So, let's split the problem into little chunks of information that will be easier to translate. This is split it into sentences.

So first:

Julie's pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the corner of her cage. This means that the least amount of time Julie was awake as an hour in total, so this can be written as an inequality like this:

time spent running + time spent scratching is less than or equal to 1 hour

x+y\geq 1

next,

Zoe ran on the wheel at least twice as long as she scratched at the quarters of her cage.

This is:

x\geq 2y

and finally, she spent more than 1/4 of an hour running on her wheel.

x\geq \frac{1}{4}

so the system of inequalities is the following:

x+y\geq 1

x\geq 2y

x\geq \frac{1}{4}

You might be interested in
Factorize completely<br>- 3a² + 4a + 4<br>​
kaheart [24]
Answer step-by-step:

7 0
2 years ago
How can I show that 0 is not a natural number​
madam [21]

Answer:

The reason why 0 is not a natural number is because does not have a value which is positive or negative. Therefore, since all real numbers are positive integers, we do not assume that zero is a natural number. Although zero is called a number in its entirety.

Step-by-step explanation:

5 0
3 years ago
What is the side length of 81 m
mote1985 [20]

Answer:

if I'm not wrong 41 is your answer

4 0
2 years ago
A bag of chips contains 53 pieces. Each person in the room receives five chips and there is three chips left over. Write and sol
Nuetrik [128]

Answer:

53-3/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I delete my question
damaskus [11]
You can’t delete them
5 0
3 years ago
Read 2 more answers
Other questions:
  • It cost $4 to enter the fair. Each ride costs $2.50. You have $21.50. How many rides can you go on?
    14·2 answers
  • In the figure below, if the angle is right what is the value of x?<br>​
    12·2 answers
  • Plot the x-intercept of the function f(x)=(x+4) squared
    8·2 answers
  • I need help plz i dont know
    14·1 answer
  • You have 2 different savings accounts. For Account​ A, the simple interest earned after 9 months is ​$5.70. For Account​ B, the
    10·1 answer
  • Solve the equation for all values x by completing the square <br> x²-6x=27
    7·1 answer
  • VALERIE
    13·1 answer
  • yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature
    7·1 answer
  • Allowance method entries
    15·1 answer
  • What is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!