Mathematics Stack Exchange
Mathematics Stack Exchange

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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How to calculate component amounts so their individual additives equal 3%

I have a list of chemical formulas that are each comprised of a number of base components. Two of the base components contain an additive, $X$. This additive needs to exist in each formula at a concentration of $3\%$. Of the two components,…
scumdogg
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Getting rid of numerator in a fraction equation

Im doing Okun's law for economics. Which is $\dfrac{Y^*-357665}{Y^*} = 1.5(5.1-4.75)$ how do I find $Y^*$?
user154342
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Ratios of people to time on jobs

If it takes three persons to complete a job in 30 hours, how long will it take for one person to complete the same job?
kripa
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SAT #1 Arithmetic Sequence

Every Sunday Graham jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the preceding day. How many miles does Greg jog in 2 weeks? (A) 42; (B) 63; (C) 84; (D) 98; (E) 117.
Curso FDX
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Hexadecimal to float converter

I have a hexadecimal to float converter in the form of a code by I am unable to understand as to how did they carry out the conversion. For Ex: If I have a hexadecimal number as : 11433333; the answer I get from that function is: 145.200. I…
Neophile
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we need to find $m+n$.

I just dont understand this question, could any one tell me how to solve this one? A pen costs $13$ dollar and a notebook costs $35$ dollar, let $m$ be the maximum number of items that can be bought for $1000$ dollars and $n$ be the minimum number…
Myshkin
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arithmetic series - solving problem

I don't understand this question. The 10th organ is 4 times bigger than the 3rd organ. The amount of all 50 organs together is 3725. Find D and a1. How can I solve that? I have absolutely no way.
Roy
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natural representation

Number $n$ is a natural number if there is $b_0,b_1, ..., b_k$ (the number 0-9) So that $n = \sum_0^m b_j2^{j^2}$. Is there for all the natural number this kind of representation? Is the representation of the number in this method is a single?
Nir Asaf
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algebra, solving equations with variables on both sides

Janine has job offers at two companies. One company offers a starting salary of $\$28,000$ with a raise of $\$3000$ each year. The other company offers a starting salary of $\$36,000$ with a raise of $\$2000$ each year. After how many years would…
Breanna Botts
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Sum of the cubes of the roots in a cubic

I had an argument with my brother this morning about finding p^3+q^3+s^3 where p and q and s are the roots of a cubic. What is this value expressed in terms of the coefficients of the cubic? (Sorry if this was rushed, but I want to win the argument)
Lucien Jaccon
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Simplification from Dirichlet series to the zeta function

I'm looking at Eqn. 13 here: $$\sum (1/(2n-1)^s - 1/(2n)^s + 2/(2n)^s)$$ They then simplify this to obtain the zeta function: $$\sum 1/n^s = \zeta(s)$$ Can you help with the simplication? All I can write is $$1/(2n-1)^s + 1/(2n)^s$$ I don't know how…
zeynel
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Time Work Efficiency related problem

A bakery bakes 60 cakes in 9 hours every morning. They make the first batch of P cakes in Q hours and then increase their efficiency by 20% to make the remaining cakes, finishing just on time. How much time could they save if they worked throughout…
Jag
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Different interpretations of division

On wikipedia, the definition of Tobin's q is given as: $$ q=\frac{\text{Market value of installed capital}}{\text{Replacement cost of capital}} $$ Imagine the market value of installed capital is 100\$, and that of replacement capital is \$10. Does…
Kwame Brown
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What is the relation between playback speed and real time?

I am struggling to understand the relation between playback speed versus real time, for example, on YouTube. If there is 10 minute duration video. If I listen it on 1.5 then as per my understanding 1.5 mean 150% there for it should take 100%(10…
salamak
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Number of operations in total

Consider the multiplication problem: $1234 \times 5432$. Using the "method taught in school", how many operations are carried out in this product? If there are $n$ rows in the long multiplication, why are there $\leq 2n$ operations for each row? Why…
geur
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