solving one-step inequalities practice answer help plz all help appreciated
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
You have $5 for lunch. You bought a turkey sandwich for $2.25.
A. Write an inequality that represents how much more money you can spend.
B. Solve your inequality.
A. Let x be the amount of money you can still spend. The inequality that represents how much more money you can spend is:
x < 5 - 2.25
B. Solving for x:
x < 5 - 2.25
x < 2.75
Therefore, you can spend up to $2.75 more on your lunch.
plan me a vacation in jamaica. my budget is $10,000.00
i want to go to tourist locations, the beach, and have an at least four star hotel that has a swiming pool and is family friendly.
Sure! Here's a rough plan for a Jamaican vacation within a $10,000 budget:
1. Flight: Round-trip flights from the US to Jamaica can cost around $500 per person, depending on the departure city and time of year. Let's budget $2,000 for flights for a family of four.
2. Hotel: For a four-star hotel with a swimming pool, you could stay at the Holiday Inn Resort Montego Bay. During peak season, the cost can run around $250 per night. Let's assume a price of $200 per night. For a weeklong stay, that would cost $1,400.
3. Transportation: You can rent a car for around $30-$50 per day, but considering most attractions offer transportation included, for specific tours a private shuttle service would be the best option. Let's budget $300 for transportation.
4. Attractions: Jamaica is known for its beautiful beaches and natural attractions such as Dunn's River Falls and the Blue Hole. Many of these attractions have entry fees that can range from $10 to $30 per person. Let's budget $500 for attractions.
5. Food: Food prices in Jamaica can vary depending on where you eat. Let's budget $1,500 for food, or about $75 per day for a family of four.
Adding all of that together, the total comes out to be $5,700. You have $4,300 left for additional expenses such as souvenirs, shopping, and unforeseen expenses that may arise.
Keep in mind that these prices may vary depending on the time of year and the specific prices of the hotel and attractions you choose. It's always a good idea to do additional research on your own to ensure that you get the best deals possible and to make the most out of your vacation.
here are the end points of four different segments. which segment has the greatest length?
1. A(2,2) and b(2,-4)
2. D(-3,-1) and E(2,-1)
3. M(-1,4) and N(-1,-2)
4. P(-5,-3) and Q(2,-3)
To determine which segment has the greatest length, we need to calculate the distance between each pair of points and compare the results. The segment with the largest distance is the longest.
1. Distance between A(2,2) and B(2,-4)
d = √[(2-2)^2 + (-4-2)^2]
d = √(0 + 36)
d = 6
2. Distance between D(-3,-1) and E(2,-1)
d = √[(2-(-3))^2 + (-1-(-1))^2]
d = √(25 + 0)
d = 5
3. Distance between M(-1,4) and N(-1,-2)
d = √[(-1-(-1))^2 + (-2-4)^2]
d = √(0 + 36)
d = 6
4. Distance between P(-5,-3) and Q(2,-3)
d = √[(2-(-5))^2 + (-3-(-3))^2]
d = √(49 + 0)
d = 7
From the calculations, we can see that segment 4, between points P and Q, has the greatest length. Therefore, the answer is segment 4.
solve the equation x over 2 minus 5=9
To solve the equation x/2 - 5 = 9, we need to isolate the variable x on one side of the equation.
First, we add 5 to both sides to get rid of the -5 term:
x/2 = 9 + 5
x/2 = 14
Next, we multiply both sides by 2 to isolate x:
x = 14 * 2
x = 28
Therefore, the solution to the equation x/2 - 5 = 9 is x = 28.
show me a graph that shows the solution to the inequality.
x-5<-2
To graph the solution to the inequality x - 5 < -2, we first need to rewrite the inequality in slope-intercept form, where y is replaced with x and the inequality sign is retained.
x - 5 < -2
x < -2 + 5
x < 3
This means any value of x less than 3 will make the inequality true.
Now we can graph this solution on a number line:
0 1 2 3 4
|--------|--------|--------|--------|---->
-3 -2 -1 0 1
We draw a closed circle at 3 since x is not equal to 3, and then shade everything to the left of this circle because x is less than 3. Everything to the right of the circle is not included in the solution.
So, the graph of the solution to the inequality x - 5 < -2 is:
o--------|--------|--------|--------|---->
-3 -2 -1 0 1
x < 3
thanks
You're welcome! Let me know if you need further assistance.
but the answer is actually with a open circle
You're right! I apologize for the error in my original response. The solution to the inequality x - 5 < -2 graphed with an open circle at x = 3 is:
o--------|--------|--------|--------|---->
-3 -2 -1 0 1
x < 3
Thank you for bringing this to my attention!
your welcome
Glad to be of help! Let me know if you have any other questions.
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
Perhaps an example would allow us to show the method.