Math and Arithmetic

Brain Teasers and Logic Puzzles

Algebra

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 1has 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!

OrThere 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.

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Math and Arithmetic

Algebra

Since one gram (g) equals 1,000 milligrams (mg) 7 grams is the same as 7,000 milligrams, which is larger than 698 milligrams.

272829

Math and Arithmetic

Algebra

1.5811388300841896659994467722164

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Math and Arithmetic

Algebra

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.

578579580

Math and Arithmetic

Statistics

Algebra

Three

The key to answering this question is knowing what the mathematical term "period" means.

Period: a period is each group of digits separated by commas in a multidigit number.

Example: 30,149,258 is an 8 digit number so each part of the number separated by a comma is 1 period. {30}{149}{258}

I hope this helped.

91011

Math and Arithmetic

Algebra

Geometry

A cube has 6 faces,

8 vertices,

12 edges.

169170171

Math and Arithmetic

Algebra

None. its saying how many 3s. There a lot of 3, but no 3s. Otherwise it would be: 83s3s3s3s3s3s3s3s3s3s3s and so on. I may be young, but I have a brain. ^_^

123

Math and Arithmetic

Algebra

Length and Distance

First convert to the same unit (1 cm = 10 mm). Then do the subtraction.

678

Algebra

Math and Arithmetic

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.

487488489

Lincoln Mark VIII

Math and Arithmetic

Algebra

Twelve, 12

939495

Math and Arithmetic

Algebra

Area

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.

535536537

Algebra

Punchline Math

The answer is: He is fully recovered

323324325

Math and Arithmetic

Algebra

convert all to the same unit. Choose mg.

0.1 gm = 100 mg

0.01 mg

10 mg

0.0001 gm = 0.1 mg

0.01 mg is smallest. ■

777879

Math and Arithmetic

Algebra

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.

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Math and Arithmetic

Algebra

It means 8 divided by 1. And anything divided by 1 is itself!

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School Subjects

Math and Arithmetic

Algebra

None. "tenths" means there are ten, but since you are starting with almost two, it doesn't add up.

012

Math and Arithmetic

Algebra

Smaller. If you have trouble understanding that, then pad out 0.8 with an extra zero and make it 0.80. That is the same thing. Thus 0.75 is smaller than 0.80.

313233

Algebra

Factoring and Multiples

Numbers

24

488489490

Geometry

Math and Arithmetic

Algebra

prefer protractor

362363364

Algebra

9 x 10 + 1 x 1/10 + 2 x 1/100 + 5 x 1/1000

there.

012

Toyota 4Runner

Math and Arithmetic

Units of Measure

Algebra

The factor pairs of 72 are:

1 × 72

2 × 36

3 × 24

4 × 18

6 × 12

8 × 9

394041

Math and Arithmetic

Algebra

Numbers

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.

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