# Algebra

## The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

### There is a bus with 7 children inside. Each child has 7 bags. Inside each bag there are 7 big cats. Each big cat has 7 small cats. All cats have 4 legs each. How many legs are on the bus? As a riddle, the answer is zero legs on the bus since the bus has wheels instead of legs. But as a maths problem; It's not a tricked question -- just a straightforward maths problem Confirmed answer is 10990 legs. § Let's say the whole situation simply : - There are 7 girls. - Each girl has 7 backpack - Each backpack has 7 big cats - Each big cat has 7 little small cats. § Question: How many legs are there in the bus? § Let's focus on each part of the question systematically, write down on a piece of paper if you have to, following my steps of chains. 1. Focus on the first girl first: A B C D E F G Girl A has 7 backpacks 2. Now focus on first backpack A1 : A1 A2 A3 A4 A5 A6 A7 Backpack A1 has 7 big cats 3. Now focus on first big cat : 1 2 3 4 5 6 7 Ø Each big cats have 7 small cats (that's the end of the focus) Systematically, 7 small cats has 28 legs (7 * 4) combined with the big cat that owns this 7 small cats. Let's call this the "cat chain", so cat chain 1 has 32 legs altogether. Ø So since there are 7 big cats 7 * 32 = 224 legs Ø Therefore each backpack has 224 legs Ø Finally, each girl has 7 * 224 = 1568 legs. Lastly, since there are 7 girls, A to G, there are 7 * 1568 legs (per girl) = 10976 legs. Now, since each girl also has 2 legs each; SO, (7 * 2) + 10976 = 10990 legs altogether Note: Disregarding bus driver, buses and etc…Only focus on the girl and their backpacks! Or There are 7*7 = 49 bags and there are 7 + 7*7 = 56 cats in each bag, meaning there are 56*4 = 224 legs in each bag. So including the 7 children that have 2 legs each, there are 7*2 + 49(224) = 10990 legs in total.

### Does google plex equal infinity? Furthermore, no number is equal to infinity because infinity is not a number, it is a concept, so theoretically, no number could be equal to it.

### How much tonnage air conditioner is required for 2779 sq ft? It depends a great deal on where you live and how well your home is insulated. Square feet is not a great help when planning the size of an air conditioner. It is very useful to also have the cubic feet in the home, along with the sizes and types of windows. Where I live in the northwest US, a 3-ton unit would do the trick easily, but then, we do not get the intensely hot, long summers as you might in say, Phoenix.

### Find the sum of the opposite of -18 and its additive inverse? the opposite of negative 18 is positive 18. It's just like absolute value. |-18| is 18 because 18 is 18 steps away from 0 so is -18 like how it is 18 away from 0 and not -18 away from 0. -18 away from 0 is not a thing. So therefore, the opposite of negative 18 is positive 18 because the opposite of negative is postitve.

### What is the word form for 0.000001? Look at a place value chart and you'll have your answer. The key is that numbers to the right of the decimal point are fractional. But numbers to the left of it would be whole numbers.

### How do you find the radius if you have the circumference? Circumference divided by pi to find the diameter then divide that by 2 to give you answer!! Formula: R=c/pi/2 eg. circumference =60 so, 60 divided by pi = 19.098, then divide 19.098 by 2 to give you 9.549!!

### What is 40 cubed? Cubed means to take whatever number and multiply that number by itself three times. So 40 cubed means to take 40 times itself three times. Be very careful because it's not 40 times 3, which is a very common mistake! It's 40 times itself 3 times.

### What is the meaning of negative traits? In the personal sense, it means something negative in your personality like being negative (pessimistic) or not concentrating in school. In algebra it means a minus number below zero eg. -2 is 2 less than zero. An extra note - if the equation is 5--5 (five minus minus five) then just add five because two minuses or negatives equal a plus or positive. Sorry if I got the wrong meaning of what you asked!

### Is nett price inclusive of vat? No, Net Amount is the amount before VAT is added. Once VAT is added it then becomes the Gross Amount. Net price is exclusive of VAT

### How do you solve 4x3 equals 12x2-x-3 equals 0? 4x3= 12x2-x-3 The friendus are x= -.4324426. or x= .6157299 or x= 2.816713 These are approximations.

### What is the fraction 8 over 25 as a percent? To convert a fraction (or decimal) to percentage, multiply by 100, thus: 8/25 = 8/25 x 100% = 32%

### How do you simplify mixed fractions? Sometimes you can't simplify a mixed fraction, but simplifying a mixed fraction is just like simplifying an original fraction. For example: You can not simplify 1 and 3/4, because 3/4 can not be simplified. But 1 and 10/16 can be simplified. To do this: You take the actual fraction part 10/16 Find a LCD (Least Common Denominator) for this it is 2 Divide both the reciprocal and denominator by this number 10 divided by 2=5, 16 divided by 2=8 Put the new divided numbers where the old numbers were, 5/8 Then just put the whole number and fraction back together, ex. 1 and 5/8.

### What is negative 6 to the negative second power? To get your answer, you'd first take negative 6 times itself. That would give you positive 36. So negative 6 to the second power would be 36. But you're not raising it to the second power, you're raising it to the negative power. That means take 1 over it. So instead of 36, your answer would be the inverse, which means 1/36.

### Vjersha per 7 - 8 marsin? 7 Marsi Festën e mësuesit Ne do ta festojmë Lulet më të bukura Ne do ti dhurojmë. Vijmë tek ti mësues Buzëqeshjen ta dhurojmë Kënga krahët reh si flutur Midis jush jam e lumtur.

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