## Ex 2 Number Problem Find a Number given a Relationship

ONE POSITIVE NUMBER IS 14th OF ANOTHER NUMBER. THE DIFFERENCE BETWEEN THE NUMBERS IS 192 WE WANT TO FIND THE NUMBERS. SO THE FIRST THING WE NEED TO RECOGNIZE HERE IS THERE ARE TWO NUMBERS 1 NUMBER AND THEN ANOTHER NUMBER THAT IS 14th THE FIRST NUMBER. SO LET'S LET X THE FIRST NUMBER. AND IF THE SECOND NUMBER IS 14th THIS NUMBER WE CAN REPRESENT THE SECOND NUMBER AS 14th X. AND THEN WE'RE TOLD THE DIFFERENCE BETWEEN THESE NUMBERS IS 192. THE DIFFERENCE MEANS SUBTRACTION SO WE'LL HAVE THE EQUATION X 14th X 192.

NOW WE HAVE 2 LIKE TERMS THAT WE NEED TO COMBINE BEFORE WE SOLVE FOR X. REMEMBER WE CAN THINK OF THIS AS 1X, BUT 1X 14thX WOULD OF COURSE BE AN X TERM AND THE COEFFICIENT WOULD BE 1 14th, WHICH IS 34th's. AND JUST IN CASE YOU DON'T SEE WHERE THIS 34th's CAME FROM WE CAN SEE ITS GOING TO BE AN X TERM AND THEN THE COEFFICIENT WOULD BE 1 14th, WHICH WE CAN WRITE AS 11 14th. THEN WE'D HAVE TO HAVE A COMMON DENOMINATOR.

SO WE'D MULTIPLY THIS FIRST FRACTION BY 44. SO WE WOULD HAVE 44ths 14th, WHICH WOULD BE THE 34ths THAT WE HAVE HERE. AND THIS 192. AND NOW TO SOLVE FOR X WE'RE GOING TO MULTIPLY BY THE RECIPROCAL OF 34ths, WHICH WOULD BE 43rd's. SO MULTIPLY THE LEFT SIDE BY 43rds AND THE RIGHT SIDE BY 43rds. LET'S GO AHEAD AND PUT THIS OVER 1, 33, 44 THEY ALL SIMPLIFIES TO 1. SO WE HAVE X THIS PRODUCT HERE. WELL, 3 DOES DIVIDE EVENLY INTO 192. THERE'S ONE 3 IN 3 AND 64 3s IN 192.

JUST GO AHEAD AND CHECK THAT. 192 DIVIDED BY 3, THERE'S 6 3's IN 19. 6 x 3 IS 18 SUBTRACT, BRING DOWN THE 2 AND THERE ARE 4 3s IN 12. SO X IS GOING TO BE EQUAL TO THIS PRODUCT HERE. NOTICE THE DENOMINATOR IS 1. SO WE'LL JUST HAVE 4 x 64 OR 64 x 4. THAT'D BE 16, CARRY THE 1. THAT'S 24 1 OR IT'S 25. SO X IS 256, WHICH WOULD BE THE FIRST NUMBER. NOTICE THE SECOND NUMBER IS 14th x X OR 14th x 56,.

### Ex 1 Number Problem Find a Number given a Relationship

6 x THE SUM OF A NUMBER AND 5 48, WHAT IS THE NUMBER SO TO SOLVE THIS PROBLEM WE'LL HAVE TO SET UP AN EQUATION, BUT LET'S FIRST ASSIGN OUR VARIABLE. LET'S LET X EQUAL THE NUMBER WE'RE LOOKING FOR. NOW, LET'S READ THIS CAREFULLY AND SEE IF WE CAN SET UP AN EQUATION. IT SAYS 6 x THE SUM OF A NUMBER AND 5 48. SO WE CAN SEE WE'RE GOING TO HAVE MULTIPLICATION HERE BECAUSE OF THE TIMES, AND THEN WE'LL ALSO HAVE ADDITION BECAUSE OF THE SUM.

AND NOTICE THAT IT STATES YOU WANT 6 x THE SUM, WHICH MEANS YOU'RE GOING TO HAVE 6 x A QUANTITY. WE'LL HAVE 6 x AND THEN THE SUM OF A NUMBER AND 5. WELL, THE SUM OF A NUMBER AND 5 WOULD BE THE SUM OF X AND 5 OR X 5, AND THIS IS EQUAL TO 48. THIS ONE'S A LITTLE BIT TRICKY BECAUSE NOTICE AGAIN HOW WE HAVE 6 x A SUM, WHICH WE EXPRESSED HERE, A COMMON ERROR THAT YOU MIGHT SEE WOULD BE 6X 5 48.

BUT THIS WOULD BE THE SUM OF 6 x A NUMBER AND 5, WHICH IS NOT WHAT IT SAYS. THE IMPORTANT THING TO RECOGNIZE HERE IS THAT WE HAVE 6 x THE SUM, NOT JUST 6 x A NUMBER. NOW THAT WE HAVE THE SETUP CORRECTLY, WE NEED TO SOLVE FOR X. SO THE FIRST STEP WILL BE TO CLEAR THE PARENTHESIS BY DISTRIBUTING. SO WE'LL HAVE 6X 30 48. AND THEN TO SOLVE FOR X WE NEED TO UNDO THIS ADDITION, AS WELL AS UNDO THIS MULTIPLICATION HERE.

AND WE ALWAYS UNDO ADDITION AND SUBTRACTION FIRST. SO WE'LL SUBTRACT 30 ON BOTH SIDES, WHICH WOULD BE 0. SO WE HAVE 6X THIS WOULD BE 78. AND THEN THE LAST STEP, YOU SHOULD DIVIDE BOTH SIDES OF THE EQUATION BY 6. SO WE HAVE X IS EQUAL TO THIS QUOTIENT HERE. WE KNOW THIS QUOTIENT IS GOING TO BE NEGATIVE BECAUSE WE HAVE A NEGATIVE DIVIDED BY A POSITIVE. THERE'S 1, 6, AND 7, BRING DOWN THE 8, AND THERE ARE THREE 6's IN 18, SO X 13.

#### Deion Pilar Sanders In Front Of Collin County Judge, Again!

SPREE ENDED WITH A STABBING WITH A POCKET KNIFE. THE VICTIM WAS TAKEN IN FOR TREATMENT. FORMER DALLAS COWBOY DEION SANDERS AND HIS EXWIFE RETURN TO A CONCAVITY COURTROOM THIS MORNING. AT ISSUE CHILD CUSTODY AND A DEFAMATION SUIT. Reporter KAREN, THE JUDGE IN THIS CASE HAS MADE IT VERY CLEAR. HE WANTS THIS THING DONE NOW, TODAY. IN FACT, OUR CAMERAS WERE HERE EARLIER WHEN SANDERS WALKED INTO THE COURTHOUSE AND NOT TOO FAR BEHIND, THE NFL BROADCAST NETWORK OR DEION SANDERS. THEY ARE IN COURT TO WORK OUT CHILD CUSTODY ISSUES AND A.

#### Rebound Relationship Advice Relationship Advice After Break Up

The Rebound Relationship need not be regarded as the relationship is all over. and there we just not the same. Do you have an ex in rebound relationship, daniela sets out the door are read online teachers so therefore also together yes lifestyle that's the hearts that things started getting really freaking career we just want to make good use priority because you've got to get us a gallon the so that might be better if you go out there for us failings, how to save your marriage regardless of sixty nine five six and sixty eight.

#### Dating Problems Every Lesbian Will Recognize

So I guess this is good. bye. Hey, you still have my Buffy season two DVDs! You bitch. Aw, Britt, don't look so sad. It's been like a month since she's broke up with you. Come on, you gotta get back out there. I went on, like, three dates last week, and they were all failures. What happened Were they horse lesbians No, this was actually a blind date that I had high hopes for. You know, got my puss waxed for it. But I get there, and she's practically my twin.

Like, I'm narcissistic, but I'm not gonna have sex with myself. It could be fun though. You guys could like, trade lives like in The Parent Trap. That was a good movie. Yeah, but what about your second date What was wrong with her Was she a CrossFit lesbian Like show up with a tractor tire and a kettle bell No, second one was actually going really well until her exgirlfriend showed up out of nowhere and declared her undying love for her and that she built her house.

With her bare fucking hands. Longhaired Woman Aww, that's so romantic. UHaul! Typical. What about the third date Lucky number three No, that was the worst of all. Shorthaired Woman But it looks like it's going so well. Britt No, look closer. We have the same name. Hi, my name is Brittany, and this is my girlfriend, Brittany That's disgusting. What would that wedding invite look like I mean, have you tried online dating Yeah. I've swiped 'til the end of Tinder. Do you know what that feels like.

Both No! We met in person. Longhaired Woman Like, years ago. Yeah, before Tinder. I'm sure there are plenty of single lesbians left for you in this town. Shorthaired Woman Yeah, we have a lot of single lesbian friends. Like Jacqueline! Ok, I met her and a feminist friend. She's very empowered. She talks about vulvas and how they mean something more than what we think they mean. No, she hooked with my ex like two years ago at Dina. Hold on to your taco shell.

Because here comes Cynthia! Oh, she's great. Yeah, I know she's great. I dated her. We have a bunch of straight girls who I feel like if you got them a glass of wine things would get a little crazy, right Like Marsha No, I'm done with the whole straight girl thing. I can't do that anymore. They think my clit is a pencil eraser. No, I know that my sister would sleep with you. She said I was pretty for a lesbian once. I just wanna find a nice, available, single.

#### Kareena INSECURE Due To Saifs CLOSENESS To Amrita Singh LehrenTV

Could Bebo be in tension Because Saif is seen having a close connection with his exwife. Yes, recently in an interview given to the magazine..Saif said everything's fine in his life. He has a cute wife like Bebo. And now, he's growing closer to Amrita as well. Whenever Amrita and Saif meet, especially for their kids..they only talk about these two. And Bebo's really cool with Saif's kids. But she never got along with Amrita. What's more, during the shoot of 'Aurangzeb'..to avoid any confrontation with Saif's wife at Yash Raj Studios.

#### Key Peele Text Message Confusion Uncensored

BEEN TRYING TO REACH OUT TO YOU ALL DAY. ARE WE ON FOR TONIGHT sighs JEEZ. WHAT YOU CAN'T CATCH ME. YOU CAN'T CATCH ME. I'M LANCE MOORE. TOUCHDOWN, BITCH. WHAT PAUSE. phone chimes OH, SHOOT. KEEGAN'S BEEN TEXTING ME. SORRY, DUDE, MISSED YOUR TEXTS. I ASSUMED WE'D MEET AT THE BAR. WHATEVER. I DON'T CARE. phone chimes SORRY, DUDE, MISSED YOUR TEXTS. I ASSUMED WE'D MEET AT THE BAR. WHATEVER. I DON'T CARE. WHATEVER. I DON'T CARE WHAT THE FUCK IS HIS PROBLEM DO YOU EVEN WANT TO HANG OUT.

DO YOU EVEN WANT TO HANG OUT OH, THAT'S CONSIDERATE. LIKE I SAID, WHATEVER. LIKE I SAID, WHATEVER FUCK THIS GUY. JESUS, YOU. ARE FUCKING PRICELESS. AWW. YOU'RE THE. ONE WHO'S FUCKING PRICELESS THIS M THIS MOTHERFUCKER HERE. OH, HE WANTS TO OKAY, MMHMM. MMHMM. OKAY. YOU WANT TO GO. RIGHT NOW HMM. GUESS I COULD DO THAT. clears throat OKAY. OKAY, LET'S GO HE SAID OKA OKAY, LET'S GO ALL RIGHT, YOU KNOW WHAT YOU KNOW WHAT YOU WANT TO REALLY. DO THIS NOW KEEGAN, YOU NUT.

YOU'RE NOT PUTTING ME OUT. FUCK YEAH, LET'S DO IT OH, YOU FUCKING ASSHOLE! FIRST ROUND'S MINE. OH, NO! OH, NO! THERE AIN'T GONNA BE NO ROUNDS, ASSHOLE! IT'S GONNA BE A FUCKING STREET FIGHT! THIS SON OF A 'CAUSE TONIGHT WE GONNA PARTY AND THE PARTY DON'T STOP YOU! BUDDY! LIKE I SAID, FIRST ROUND'S MINE. A BEER AND A GIMLET FOR MY PARTNER RIGHT WHAT'S THAT UH, II GOT YOU A BASEBALL BAT WITH NAILS IN IT. FOR MY POSTAPOCALYPTIC JACKIE ROBINSON COSTUME.

#### Ex Find the Length of Two Pieces Cut From a Large Piece Given a Relationship

A 32INCH LONG PIECE OF WOOD IS CUT INTO TWO PIECES. THE LONGER PIECE IS 8 INCHES LONGER THAN THE SHORTER PIECE. WE WANT TO FIND THE LENGTH OF THE SHORTER PIECE OF WOOD. LET'S SEE IF WE CAN MODEL THIS. IF THIS IS THE PIECE OF WOOD, WE KNOW THE TOTAL LENGTH IS 32 INCHES. BUT WE'RE CUTTING IT INTO TWO PIECES SO THAT ONE PIECE IS 8 INCHES LONGER THAN THE OTHER PIECE. SO LET'S SAY WE CUT IT HERE. WE DON'T KNOW THE LENGTH OF EITHER PIECE.

SO WE'RE GOING TO HAVE TO USE A VARIABLE. SO IF WE CALL THE LENGTH OF THE SHORTER PIECE X AND THE LONGER PIECE IS 8 INCHES LONGER WE COULD REPRESENT THIS LENGTH AS X 8 WHERE THE UNITS OF BOTH OF THESE WOULD BE IN INCHES. BUT NOW WITH THIS INFORMATION WE CAN WRITE AN EQUATION. WE KNOW IF WE ADD THESE TWO LENGTHS TOGETHER, IT MUST BE 32 INCHES. SO WE CAN WRITE THE EQUATION X X 8 MUST 32. AND NOW WE CAN SOLVE THIS EQUATION FOR X.

WE'RE FIRST COMBINE OUR LIKE TERMS HERE. X X WOULD BE 2X. SO WE HAVE 2X 8 32. NOW WE HAVE A BASIC TWOSTEP EQUATION. IN ORDER TO ISOLATE X WE'LL HAVE TO UNDO THIS ADDITION AND UNDO THIS MULTIPLICATION. WE'LL UNDO THE ADDITION FIRST. THE OPPOSITE OF 8 IS 8 SO WE'LL SUBTRACT 8 ON BOTH SIDES OF THE EQUATION. THIS WOULD BE 0. SO WE WOULD HAVE 2X 32 8 IS EQUAL TO 24. DIVIDE BOTH SIDES BY 2. WE HAVE X 12.

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