Questions on basic arithmetic, e.g. addition, subtraction, multiplication, division, powers, roots, etc.

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0
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5answers
21 views

Converting Hexadecimals

I need help converting Hexadecimals. How do I go about converting something like E0D base 16 to decimal? How about to binary?
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0answers
21 views

Combining Remainders in Divison

I am trying to find another way to approach a division problem than the typical long division approach. For example: $876/32$. I am trying to break this division number into single digits only. for ...
3
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2answers
37 views

Another Approach to Long division

I need your help with a lifelong problem I have always had. There are two things in life I hate most, 1) weddings and 2) Long division. For the life of me I hate division. I am horrible at it. I can ...
0
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3answers
19 views

Given a distance, two different speeds and time how to determine how far was traveled on each speed.

Given a distance, two different speeds and time how to determine how far was traveled on each speed. For example, if 100m has been traveled in 5 seconds and there was the option to travel the ...
8
votes
2answers
97 views

calculate $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ given $(x+x^{-1})^2 = 3$

If $\left(x+\dfrac 1 x\right)^2=3$ then the value of $$x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1.$$ I'm trying to solve it like this $$x^2+\dfrac {1}{x^2}=1\text{ and }; x^6+\dfrac ...
1
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3answers
21 views

Division by fractions [duplicate]

Why is it that to divide by a fraction you need to multiply by the reciprocal of that fraction? For instance: $\eqalign{ & 1 \div \frac{1}{3} \cr & = 1 \times 3 \cr & = 3 ...
1
vote
3answers
37 views

If $A,B,C \leq M$, how can we show $\alpha A + \alpha B + (1-2\alpha )C \leq M$?

If $A,B,C \leq M$, how can we show $$\alpha A + \alpha B + (1-2\alpha )C \leq M,$$ where $0 \leq \alpha \leq 1/2$? What is a counter-example if $\alpha > 1/2$? My first thought was to try to ...
1
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3answers
83 views

How can we solve this elementary school math problem without using equation or simultaneous equations?

I got an elementary math problem this morning. The students have not learnt linear equation as well as simultaneous equations yet. I have solved it with simultaneous equations and I have no idea ...
3
votes
0answers
34 views

(Integer) Variant of Hilbert’s irreducibility theorem

Let $P\in{\mathbb Q}[X,Y]$ such that $P(x,.)$ has an integer root for any integer $x\in{\mathbb Z}$. Does it follow that $P$ has a factor of the form $Y-Q(X)$ for some $Q\in{\mathbb Q}[X]$ such that ...
0
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1answer
37 views

Complement Calculations - Why do I get different answers with ones' and twos' complement?

I am finishing an assignment related to complement calculations. The question is as follows: ...
0
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1answer
34 views

Find a point on a plane

I have three points to write the equation of a plane: assume $P_1=(x_1,y_1,z_1),P_2=(x_2,y_2,z_2),P_3=(x_3,y_3,z_3)$. I can also write the equation of this plane. I want to obtain the coordinate of ...
-1
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1answer
21 views

$n$ students divided into equal groups of $4$ with $1$ student left over or equal groups of $5$ with $3$ students left over

A group of $n$ students can be divided into equal groups of $4$ with $1$ student left over or equal groups of $5$ with $3$ students left over. What is the sum of the two smallest possible values of ...
1
vote
1answer
29 views

Setting up a word problem.

I cannot figure out if this is right because there is no example to verify calculations and I have gone over this a few hours now. I do not need help with programming, just the correct mathematics. ...
0
votes
2answers
23 views

Confused in basic hex subtraction

I am having trouble thinking in hex terms when making hex subtraction. Example: I am trying to do: 0x503c - 0x40 I am stuck in the part subtracting the 4 from 3. I ...
0
votes
1answer
13 views

Create a simple expression that is larger than zero if and only if a-b > 0 and c-d < 0

Ok, this is simple but I cant figure out a solution to it. I have four signals, a, b, c, d. I want to generate a signal when a-b > 0 and c-d < 0. This signal should be in the form of an algebraic ...

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