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Krampus: I didn't steal any globe! I'm not a monster...well, okay, I'm a monster, but I still didn't do it! And I can prove it!I couldn't have stolen the globe because I was in the forest "collecting" reindeer! If you look into it you'll discover I'm telling the truth!Problem: Four times the number of stolen tiny reindeer in Krampus' barn is the same as three times the number of tiny reindeer plus nine. How many reindeer were stolen?

Krampus: See? I'm just hungry! I would never steal the Grand Luminous Globe! I love that festival!If you want to know who I think stole the globe, I'd check on that Abominable Snowman! I don't trust him at all!

Abominable Snowman: Oh, hello there! I don't see too many outsiders around these parts! I've been up here preparing for the most epic snowball fight! Do you want play? I'll even wait for you to catch up!Problem: The Yeti has challenged you to an epic snowball fight. He currently has 25 snowballs and can make another 14 per hour. You don't have any snowballs yet, but you can make 19 per hour.How many hours will it take for you and Yeti to have the same number of snowballs so that you can start the snowball fight?

Abominable Snowman: That was a lot of fun! I haven't been down from my mountain in years! The people in the town can see me coming from a mile away and they always yell so loud I just run away and hide! I'm actually a big baby!Speaking of big babies, if you see my friend Ralphie around, will you tell him I said hi?

Ralphie: I can't talk right now! I've been tuning into my favorite radio show every day this month to try and track the hidden message! If you'll help me, I promise to share the secret decoder ring with you!Problem: Hector and Melissa are saving up to buy new detective kits. Hector has $9 already and will save $5 every week. Melissa has $6 and will save $7 every week. After how many weeks will Hector and Melissa have the same amount of money? ______X + ______ = ______X + ______

Use the numbers in the equation to crack the code and unlock the next suspect!

Ralphie: That's it? Ah gosh! I thought it was going to be a real detective story! What a ripoff! At this rate, I'll never be a real detective like you!I heard a story on the radio about this guy Hans Gruber at Nakatomi Tower causing a lot of trouble. I'd go and check it out myself, but I'm grounded.

Hans Gruber: I can't talk right now! Can't you see I'm busy? I've been running from John McClane all night! I'm going to race to the top of Nakatomi Tower before he can catch me!Problem: Which of the following scenarios matches the inequality 2x + 5 < 3x ?A) John is chasing Hans to the top of Nakatomi Tower. Hans is on the fifth floor and can climb two floors per minute. John is on the ground floor and can climb 3 floors per minute. What is the maximum number of minutes before John reaches the same floor as Hans?B) John is chasing Hans to the top of Nakatomi Tower. Hans is on the second floor and can climb 3 floors per minute. John is on the ground level and can climb 5 floors per minute. What is the maximum number of minutes before John reaches the same floor as Hans? C) John is chasing Hans to the top of Nakatomi Tower. Hans is on the third floor and can climb 5 floors per minute. John is on the second floor and can climb 3 floors per minute. What is the maximum number of minutes before John reaches the same floor as Hans? D) John is chasing Hans to the top of Nakatomi Tower. Hans is on the fifth floor and can climb 3 floors per minute. John is on the ground floor and can climb 2 floors per minute. What is the maximum number of minutes before John reaches the same floor as Hans?

Hans Gruber: Ah! He's too fast! I'm not going to make it! Get out of here before you slow me down any further! I've no idea what you're even talking about with some silly globe. I've far bigger targets to worry about!Go find that pest Jack Frost in his frozen palace! He seems like the sort to collect such silly trinkets!

Jack Frost: Did you turn on the fireplace? Don't you think it's a little warm? I like to keep it a comfortable 32 degrees in here! Problem: Jack Frost is standing near a fire. The temperature starts at 77 degrees and Jack lowers it by 5 degrees each minute. The fire heats the 28 degree air at a rate of 2 degrees per minute. After how many minutes does the temperature equalize?A) -5x + 28 = 2x + 77B) -5x + 77 = 2x + 28C) -5x + 2x = 105D) -5x = 2x + 77

Jack Frost: Did you turn on the fireplace? Don't you think it's a little warm? I like to keep it a comfortable 32 degrees in here! Problem: Jack Frost is standing near a fire. The temperature starts at 77 degrees and Jack lowers it by 5 degrees each minute. The fire heats the 28 degree air at a rate of 2 degrees per minute. After how many minutes does the temperature equalize? After how many minutes will the temperatures equalize?

Jack Frost: There, that's already starting to feel better! I haven't seen the Luminara Globe in years. It radiates too much heat for me!I saw a couple of guys sneaking around outside everyone's houses the other day. Looked like they were up to no good! The newspaper said they were calling themselves the Wet Bandits!

Harry: Marv don't say anything to this guy!Marv: They won't get a thing out of me! I won't tell them anything about each of us breaking into houses all over town!Harry: Marv...Problem: Each of the Wet Bandits is separately flooding basements all over town! The number of basements they're flooding can be represented by the equation 2y - 4 = y + 3. Click on the model that can be used to solve the number of basements they've flooded.

Harry: Marv, I don't think this detective is onto us. I think we might be in the clear...Problem: Each of the Wet Bandits is separately flooding basements all over town! The number of basements they're flooding can be represented by the equation 2y - 4 = y + 3. Click on the model that can be used to solve the number of basements they've flooded.

Marv: I don't know how they figured it out, Harry! They're some kind of detective super genius!Harry: I could tell you how they figured it out Marv. They've got bigger problems than us. We didn't steal any Globe! I saw some kid and his dog walking around town looking suspicious!

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Snoopy's house got knocked over by a snowdrift, but we're building him a brand new one! I just need to figure out the size!The side lengths of Snoopy's dog house are shown in the diagram below. If the perimeter of the triangle that makes the roof is the same as the perimeter of the rectangle that makes the house, what is the value of x?

Thanks! Snoopy will be so happy to have a warm place to sleep tonight! We're going to have a cool dance party!Sorry I can't help with the Luminara Globe. Rudolph flies all over town with that bright nose, so maybe he saw something?

Gosh! I heard about the missing Globe! My nose is really bright, but it only shines on what's in front of me!The region lit up by Rudolph’s nose can be represented by an isosceles right triangle. If the congruent sides of the isosceles right triangle measure 30x + 50 and 50x - 160, what value of X makes the relationship true?

I flew all over town, but I couldn't find the globe! Maybe it's inside one of the stores? You should check with my Elf friend Buddy and see if he's seen anything!

If there's one thing I love more than making toys, it's sweets! I was just making some chocolate chip waffles. I'll share some of my stack, but if you want to make some as well we can talk about your Globe afterward?Problem: Buddy the elf is making chocolate chip waffles. He's made 3 waffles for himself already and can make 2 1/2 more per minute using his elf magic. For you, there's already a stack of 7 waffles, but you can only make 1/4 of a waffle per minute (because you're human). After how many minutes will the stacks of chocolate chip waffles have the same amount?A) 1 5/11 minutesB) 3 4/11 minutesC) 4 minutesD) 1 7/9 minutes

Those waffles were pretty good! Next time I'll add more jelly beans and marshmallows!Oh, the Luminara globe? I thought I saw it around here somewhere, but the boss, Mr. Scrooge, took it with him back to his vault!

Ah yes, the Luminara Globe. A priceless artifact in need of protecting! You see, I didn't steal it. I merely wanted to ensure nobody else could have it. For safe keeping, I assure you! I've turned my life around! I'm giving away all this to the people of Luminara!Problem: Scrooge has decided to give away all of his money by buying gooses and presents for everyone in town. He buys the Cratchit Family 1 large goose and 11 presents. He also buys 7 large gooses and 3 presents for the Helping Hands Charity House. Each present costs the same amount.A large goose costs $85.43.'Scrooge spent the total same amount of money on the Cratchit Family and the Helping Hands Charity House. To the nearest penny, how much did each present cost?

As I'll show you, the globe is right here in my safe...No! Wait! It's missing! Where did it go!There's only one creature foul enough to have broken into my counting house, cracked open the safe, and stolen the globe!High atop the mountain overlooking Luminara, you'll find The Grinch! He's the one you've been looking for!

Drat! You've found me and that dreadfully bright globe! I see you've already called the Luminara Police to help you! Well we'll see how fast they can get here!Problem: The mountain is 2042.16 feet tall and The Grinch begins descending the mountain at a rate of 5.5 feet per second. The Luminara Police start from the ground (0 feet) and begin snowmobiling up the mountain at a rate of 7.2 feet per second. After how many seconds will The Grinch and Luminara Police meet?

Fine fine! You can have the silly Globe and these presents. I'm moving to the Bahamas anyway! It's far too cold here!

An equal number of people begin filling the great hall to view the Luminara Globe. The left side had 37 people initially and 160 additional people enter each minute. The right side of the hall had 142 people initially and 125 people enter each minute. The hall will be full when there are an equal number of people on each side.How many people are in the town hall when it is full?

Thank you for helping the people of Luminara! Congratulations on solving the mystery! Your brilliant detective work will forever be remembered!

Perimeter means add all sides. Don't forget to distribute and combine like terms.

Try solving the equation:4x = 3x + 9