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To attract more visitors, zoo authority announces 20% discount on every ticket which cost 29 paise. For this reason sale increases by 28% . Find the percentage of increase in the number of visitors.
Jack is playing an online puzzle game. He has 100 points and earns 10 points for each puzzle he solves correctly. He will advance to the next round if his score is over 250 points. Which inequality can jack use to find how many more puzzles he must solve to advance to the next round?
In a school, all of the students study physics or chemistry. Sixty percent of the students who study physics also study chemistry, but only one third of the chemistry students study physics. If there are 110 students in this school, how many of them study both of these subjects?
Sorry, I’m not 100% sure if this is considered algebra
Joe spent $15.75 on 21 pieces of fruit to make a salad. Bananas cost $.50 each, oranges cost $.075 each, and papayas cost $1.25 each. Joe used twice as many oranges as bananas. How many of each fruit did he buy?
(x + 6)(x − 6)
depth of 2 digit 10 to 99
Paul is making picture frames. He wants to make at least 8 picture frames and needs 24.5 inches of material for each frame.
Write an inequality that can be used to determine how much material x Paul should buy.
Use synthetic division to factor the following expression: - 4x ^ 3 - 6x ^ 2 + 36x - 16
For each of the problems below define a variable, set up an equation/inequality, solve the inequality, and answer the question using units.
1. A membership to X-Sport fitness costs $18 per month plus a one-time fee of 50 dollars to join. If you want to spend no more than 380 dollars, then how long can you be a member for?
Define a variable:
Set up an inequality:
Solve the inequality:
2. After 3 days of their fundraiser, the freshman class raised $548. Their goal was to raise $750 or more. What is the least amount of money they still need to raise in ordered to reach their goal?
3. Your cell phone plan costs $39.99 per month plus $0.15 for each text message you send or receive. You have at most $55 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
4. Pam wants to buy a pair of shoes and a hat. She has to spend less than $50.00 for both. If the hat costs $21.95, how much can she pay for the shoes?
5. You and your friends have a total of $12.00 to spend on a pizza. A large pizza with cheese costs $8.00 plus $0.40 for each additional topping. Use an inequality to find the number of toppings you can afford.
6. An amusement park charges $5.00 for admission and $0.80 for each ride. Suppose you go to the park with $15.00. Write an inequality that represents the possible number of rides you can go on. How many rides can you go on?
7. You have $32.14 to spend on a shirt. The tax is 6%. How much can the shirt cost so you still have enough money to pay the sales tax?
8. Mary is participating in the Secret Santa exchange at her office. The rule is that you cannot spend more than $25 for the entire week. Mary has already purchased four of the five gifts that she needs to get. Here are the prices of the four gifts: $4.75, $3.15, $7.39, and $4.50. How much money can Mary spend on the last gift?
9. You need to raise $130.00 for your uniform for the hockey team. You already have $52.00. You are selling hats for $7.00 each. How many hats will you have to sell in order to reach your goal?
10. The hard drive on your computer has a capacity of 120 GB. You have used 85 GB. You want to save some home videos to your hard drive. What is the maximum size of the video collection you can save?
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be, to the nearest cent, after 11 years?
