in-18-23-write-and-solve-an-equation-or-an-inequality-to-solve-the-problem-andy-paid-a-reservation-f

Question

In $18-23,$ write and solve an equation or an inequality to solve the problem.
Andy paid a reservation fee of $\$ 8$ plus $\$ 12$ a night to board her cat while she was on vacation. If Andy paid $\$ 80$ to board her cat, how many nights was Andy on vacation?

Yuanchun Ye · Accepted Answer

on for this problem, we would first set. Why? To be the nuts that Andy um, ordered her cat. So from the, um, description off the question, we know that there&#x27;s a h dollar fee that is fixed. And for each night will it at on $12. So the equation would be eight. Class 12. Why? Close to 80? It is the amount of money um, she cost she paid. And we will solve this equation. The solution is our answer. So we would first subject eight from both sides. The left side would be eight class on trial, huh? Tells eight plus 12. Why miners age on the right part will be 80 miners. Eight. So it would be a trav y e coasters 72. And then we would divide both sides by Charles. That would be 12 y over child, because to 72 over 12. So why been closed to six? It&#x27;s a solution to this equation. And we know that Andy on board has boarded her cat for six. Nice. This is the answer

Aditya Sood · Answer

uh, right and solve an equation or inequality to solve the problem. To prepare for a tennis match and have enough time for school work, Priscilla can practice no more than 14 hours if you practice is the same length of time on Monday through Friday and then spends four hours on Saturday. What is the most time she can practice on Wednesday? So we know that this is actually a question about inequalities because it says that Priscilla can practice no more than 14 hours so we can set up our equation. And we know that Monday, Tuesday, Wednesday, Thursday and Friday. All five of those days are gonna be the same. She&#x27;s gonna practice the same round on each of those days. So we get five D D stands for days plus four, and we know that she works for hours on Saturday. SATs were getting that for From is going to have to be a less than or equal to 14 and we&#x27;re getting less than or equal to it because it says that pursuing practice no more than 14 hours, so we will further we will further evaluate this. Yet five D is less than or equal to 10. Our last step is going to be to get rid of this coefficient. So we get D is less than or equal to 10 to 5. 04 to 2. 10 over five secret too. So we get that she can practice for at most two hours.

Yuanchun Ye · Answer

unless first defying X. That&#x27;s the amount off. As a DEA. Andi, we defined why, as the amount off the opinion. So we will get equation 19 X plus five. Why is less than 49 and we would get five. Why is dust and 49 miners on 19 X and we know acts is larger or equal to zero. So miners 90 x iss either equals to zero or positive in them or inactive number. So we know this is not active, and, um, we won&#x27;t you get the maximum value off. Why? So we need the right part to be as large as possible. So we would get the the part, uh, miners 19 x to be zero. So, um, when it close to zero, the right part would be the largest. So why would be the largest? So we was then self the equation that hiss five. Why, oh, less less than 49. And why is the last 49 over five? So, um, because why is that integer? So we&#x27;ve got Cem largest in future. That is, Let the last thing for 49 over five is NY. So the answer for the problem is no

Jason Taylor-Pestell · Answer

all right, So to begin with, we were given that Oscar is renting a truck to transport some supplies that he just bought. Um, he has a maximum of $50 that he can spend, and he&#x27;s using Home Depot. They charge $19 for the 1st 75 minutes for using this vehicle and then $5 for each additional 15 minutes. And our goal is to find the total amount of time that he could get up to What&#x27;s the maximum? That he would be able to, um, use this truck and still be within his budget. So I&#x27;m going to say that that time is called T that t represents any time that works for this particular situation. And so we know that, um, he is charged $19 and that in addition to that $19 he&#x27;s charged values T. Let&#x27;s change that to hear he&#x27;s she charged $5 for every, uh, 15 minutes so T could represent the number of minutes that he has it for. So then that means that whatever that time is, it would be t divided by 15 multiplied by five. Um, but we don&#x27;t want to include the 1st 75 minutes in here. And so that means that we&#x27;re going to subtract the time the 75 minutes the lead up to this. So that means that if he charges for 75 minutes, then gonna go subtract 75 minutes so that if he was to charge it for 75 minutes, this would be zero multiply by five with c b zero. So if he on Lee, um, use it for 75 minutes, then he&#x27;s only being charged the $19 and then this value has to be less than or equal to 50. It was a little bit complicated. Um, so just for the set up and I apologize if I&#x27;m not explaining it well enough, So basically, you have to pay the $19 right away. Um, so we can&#x27;t really have any tea values that are. This won&#x27;t represent 80 values that are less than 75 minutes, but we&#x27;re assuming that he&#x27;s gonna want to use it as much as he possibly can. And so we&#x27;ll say, for any value of T that&#x27;s greater than 75 or equal to 75. This is going to represent the relationship of money If it&#x27;s if that&#x27;s if he uses it for last time in 75 minutes, then he&#x27;s just going to spend $19. So he&#x27;s way within budget so that, let&#x27;s see, let&#x27;s subtract 19 from both sides, and then this can simplify toe one and three. So then this will be t minus 75. Over three is less than or equal to 31. Then we can hold by both sides by three. So those will cancel out. We&#x27;ll have tea minus 75 is less than or equal to 93. We can add 75 minutes to both sides, so that means that T is less than or equal to 168. So 168 minutes is the most that he can possibly use this truck for, and that would represent divided by 60 120 minutes and then 48 minutes left. It&#x27;s a 48 out of 60 48 minutes out of 62. If I was to write a sentence, I would say something like this Oscar Oscar can prevent the transportation for up to two hours and 48 minutes or two point weeks hours 48 out of 60 is the same thing is 4/5 which is 8/10 of an hour. And there is our answer. So that&#x27;s the most that Oscar can use this vehicle. He can use it any time less than that as well. Um, but two hours and 48 minutes is the most that he can actually afford with that $50 set aside for that budget.

Mrinal Rana · Answer

all right. Starting off, it says the number of adult tickets was 10 less than twice the number of child tickets. It&#x27;s a number of adult tickets. Was 10 less then twice the number of child tickets on dhe. Next thing inform the equation. Each adult ticket is $8 each. Child ticket his $5 and all this adds up to 5 15 next time and substitute this and instead of X on I can simplify, plus by equals 5 50 plus 80. And so finally I have. Why equals 6 30? Divided by So 16 55 was just 21 Doing the math. Get Bernie. So 30 child tickets A number of adult tickets is X equals two times why minus 10 but she gives me 50 and don&#x27;t tickets.

Karly Williams · Answer

everyone. So today we have to find a variable and write and inequality from this phrase. So we have the sum of eight of a number, and eight is more than two. So the sum tells us we&#x27;re gonna add We&#x27;re gonna add a number at eight. Well, we can have end, as are variable for the number. So we have N plus eight is more than two. Okay, so now we have to solve. So we subject ate from both sides That gives us and is greater than negative six so and in greater the negative six is our answer.

Problem

In $18-23,$ write and solve an equation or an ine…

Problem 20 Hard Difficulty

In $18-23,$ write and solve an equation or an inequality to solve the problem.
Andy paid a reservation fee of $\$ 8$ plus $\$ 12$ a night to board her cat while she was on vacation. If Andy paid $\$ 80$ to board her cat, how many nights was Andy on vacation?

Answer

6 nights.

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Anna Marie V.

Alayna H.

Kayleah T.

Michael J.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 1

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

6 nights.

Algebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry