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.

272,196 Questions
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 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!

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.

577578579
Math and Arithmetic
Algebra

How many times does 4 go into 36?

9

343536
Math and Arithmetic
Algebra

Which one is bigger 7g or 698 mg?

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

Solution for Square root of 2.5?

1.5811388300841896659994467722164

558559560
Math and Arithmetic
Algebra

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.

578579580
Math and Arithmetic
Statistics
Algebra

How many periods an 8 digit number has?

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

How many faces vertices and edges does a cube have?

A cube has 6 faces,

8 vertices,

12 edges.

169170171
Math and Arithmetic
Algebra

How many 3s are in 83333333333333333333333333333?

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

Decrease 20 cm by 20 mm?

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

678
Algebra
Math and Arithmetic

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.

487488489
Lincoln Mark VIII
Math and Arithmetic
Algebra

How many times 8 go into 96?

Twelve, 12

939495
Algebra

What is the value of 6n-2 when n is 3?

16

012
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 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

What is the answer to page 7.12 in Punchline Algebra book A what happened to the guy who fell into an upholstery machine?

The answer is: He is fully recovered

323324325
Math and Arithmetic
Algebra

Which is smallest 0.1 gm 0.01 mg 10 mg or 0.0001 gm?

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
Algebra

How many tens are in the number 30000?

3,ooo

202122
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.

480481482
Math and Arithmetic
Algebra

What is the whole number 8 over 1?

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

500501502
School Subjects
Math and Arithmetic
Algebra

1.7 equls how many tenths?

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

012
Math and Arithmetic
Algebra

Is 0.75 bigger or smaller than 0.8?

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

What are the shared prime factors of 36 and 144?

24

488489490
Geometry
Math and Arithmetic
Algebra

What instrument measures angles?

prefer protractor

362363364
Algebra

What is 90.125 written in expanded form?

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

What times what equals 72?

The factor pairs of 72 are:

1 × 72

2 × 36

3 × 24

4 × 18

6 × 12

8 × 9

394041
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.

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