Questions tagged [arithmetic]

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag. Questions about number theory (sometimes called "arithmetic") should not use this tag and should instead use (number-theory) or (elementary-number-theory).

Arithmetic is defined as operations upon numbers using $4$ main operations along with many others:

addition - the sum of two numbers

subtraction - the difference of two numbers also defined as the addition of negative numbers

multiplication - the area of a rectangle with sides of lengths equal to the two operands

division - the number of times one number can be subtracted from another before equaling zero. Sometimes it will allow decimals and in other cases there will be a remainder left over when a number doesn't go into another evenly

See Arithmetic.

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The difference between 5 times a number and 8 is equal 7 times the sum of the number and 3. Find the number.

The difference between 5 times a number and 8 is equal 7 times the sum of the number and 3. Find the number.
Tarej
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Calculate exit price in financial exchange based on desired profit

I have a bitcoin bot that is currently running and making some profit. I will be revamping some of the software, but I would like to know how to set the appropriate exit price based on my initial investment and required profit. Because I'll be using…
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Find position of drainage pipe

There is a uniform container of height $6m$ full of water. It has three identical drainage pipes $A,B,C$ attached to it. Each of them can independently empty the container (the part above it) in $T$ minutes. Pipe $A$ is fixed at the base where as…
Ajax
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Every integers divisible by $1$ but is $1$ the factor of all the integers?

The question looks so silly but anyway I have to ask. We know that every integer is divisible by $1$ but can we say that $1$ is a factor of every integer? Because $1$ is a unit of integers.
yavuz
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Splitting up decimal division, help?

I have been trying to find a solution to this problem I just encountered. So, I can split up a decimal multiplication if I had say: $2.4 * 4.3$ I could do $(2*0.3)+(2*4)+(0.4*4)+(0.4*0.3)$. This works fine. But when I try to do the same sort of…
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How do I get the temperature of the water?

Water if flowing from 2 different sinks, one is 30 degree the other is 100 degree, the 30 degree one fills the tank in 3 minuites, while the 100 degree one fills it in 7 minuites. I know I have to apply the proportions to get the average temperature…
JohnFire
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Finding 'a' and 'b' (arithmetic)

Finding 'a' and 'b': $$\frac{1}{n(n+1)} = \frac{a}{n}+\frac{b}{1+n}$$ That what I did: $$\frac{1}{n(n+1)} = \frac{a(1+n)+bn}{n(1+n)}$$ $$1 = a(1+n)+bn$$ $$1 = a+an+bn$$ $$1 = a+n(a+b)$$
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Arithmetic Job Test question

I'm taking a job test soon and was going through the sample test questions when I came across this question which may or may not be tricksy: A full stack of paper weighs 10 pounds. How much does a stack of the same paper, whose dimensions are twice…
alex
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Arithmetic ratios question

There are $850000$ users on an educational platform. On average, one user uses the platform $11$ times per month. There are two types of users: college and university students: the college ones use the platform $7$ times per month and the university…
Ilhan
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How to consistently define a nonstandard unit and apply it to a larger scale?

Sorry if the question is written poorly, I'll do my best to explain better here. For a project I'm working on, I'm defining a new unit of time, based upon the time it takes for a complete revolution of the earth about the sun. That takes somewhere…
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Question regarding profit & loss:

Q: Mr. A wants to sell his watch at 20% profit. He bought it at 10% less and sold it at Rs 30 less, but still managed to gain 20%. What is the cost price of the watch. My approach: 1: Since at the time of buying the watch he got 10% discount it must…
Gaurav
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What Annual payment will discharge a debt of 848 due in 4 years at 4% P.A at simple interest .

This is a template question. As i know the forumla and can get the answer through it but i simply cannot understand the concept. Please see the image for my solution Simple Interest https://i.stack.imgur.com/L8efC.jpg I have checked all the books…
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What is $(X/2 + Y/2)/ (X + Y)$? A conjecture?

I am new to mathematics. When I was doing course work on fractions. I learned something like follows $(2 + 5) / (4 + 10)$ learned a common pattern $(X/2 + Y/2)/ (X + Y)$ or $(X + Y)/ (2(X + Y))$ I plugged in some number and tested, it…
user158
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Algebra: Big negative powers and numbers....

I have a problem with a mathematical problem that I know that I have to use some "power properties" but this problem confuses me and I can't solve it. Here is the problem: $$ (-4)^{-60} \cdot (1{,}25)^{-40} \cdot 10^{-41} $$
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A step with respect to showing equivalence of displacements

I am currently studying Hardy's A Course of Pure Mathematics and am on Chapter 3, Section 35, Equivalence of displacements. Multiplication of displacements by numbers. In this chapter, displacement's notation is given by $[x,y]$ where $x$ is the…
GovEcon
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