# 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.

###### Asked in Math and Arithmetic, Brain Teasers and Logic Puzzles, Algebra

### 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.

###### Asked in Math and Arithmetic, Algebra, Area

### How much tonnage air conditioner is required for 2779 sq ft?

It depends a great deal on where you live and how well your 湖北体彩app
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 湖北体彩app, 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.

###### Asked in Math and Arithmetic, Algebra

### 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.

###### Asked in Algebra, Definitions

### 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 湖北体彩app.
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!

###### Asked in Math and Arithmetic, Algebra, Numbers

### What is 40 cubed?

To cube a number means simply to multiply that number by itself
3 times. To work out 40 cubed you would simply go:
403 = 40 x 40 x 40
40 x 40 = 1,600
1,600 x 40 = 64,000
403=64,000
Therefore, 40 cubed equals 64,000.
The phrase "multiply that number by itself 3 times." can cause
confusion.
Sometimes, instead of multiplying it thrice (the number itself)
others, due to confusion, just multiply the number by 3... take
note it's cube...
What do you get if you multiply 40 by itself once?
Nearly everyone would say 1,600 which is 40².
Multiply that by 40 then seems to mean multiply the answer by
40, giving 64,000 which is then 40 multiplied by itself twice!
Of course some people will say it doesn't matter how many times
you multiply 40 by itself you'll always get 1,600.
Just think of 40³ as meaning 3 40s multiplied together and you
should avoid any problems.

###### Asked in Math and Arithmetic, Algebra

### 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.

###### Asked in Algebra, Pirates, Proofs

### Vjersha per 7 - 8 marsin?

###### Asked in Geometry, Math and Arithmetic, Algebra

### What instrument measures angles?

A protractor, compass, speed square, goniometer, theodolites,
sextant, or angle finder can be used to measure angles.
A protractor is a circular or semi circular instrument for
measuring angles and some have existed from ancient times. A half
circular protractor is marked for 180 degrees and a full circle for
360 degrees. Protractors usually have two sets of numbers going in
opposite directions, so be careful which side you use. When in
doubt you should ask yourself is the angle greater or smaller that
90 degrees.
An inclinometer measures the slope (aka grade or "incline") on
mountain roads and trails.
Practice lining up and reading a protractor while you measure a
set of angles in this fun learning activity. The angles may range
from 0Â° to 180Â°. The interactive protractor is already lined up
with the vertex of each angle but you will have to rotate the
protractor into proper position. The margin of error is only 1Â°
and you must report measurement to the nearest whole number.
A protractor measures angles whereas a
compass draws angles.
The typical protractor is 180 degrees. Protractors can also be
circular and measure up to a full 360 degrees. Other methods of
measuring angles include using a compass, and length measuring
devices (rulers, tape measures, etc.) combined with trigonometry.
Estimated angle measures can also use "devices." For example, the
corner of a page can tell you if an angle is greater than or less
than 90 degrees.
Navigators in the old days would use a sextant for measuring
angles. In more recent times they used a transit. A quadrant is yet
another tool for measuring the angle between the horizon and
heavenly bodies, also useful for navigation.
A protractor can be used to measure an angle.

###### Asked in Algebra, Numbers , Percentages, Fractions, and Decimal Values

### What is a decimal of 140 percent?

The percent sign % can be defined as "divide by 100".
So the decimal of 140% would be 140/100 or 1.4
So if you wanted to know what 140% of any number was you could
multiply by
1.4 i.e. 140% of 50 is 50 x 1.4 = 70, or since multiplication is
distributive you
could also do this (140 x 50)/100 which will also give you
70
1.4

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