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3 years ago

21 is less than a number

Mathematics

1 answer:

bezimeni [28]3 years ago

7 0

The less than sign is <, so it’s going to be 21

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A climber is on a hike.after 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is

aniked [119]

75 ft

Hope that helps, Good luck! (:

8 0

3 years ago

Solve. 1,032 divided by 24 Enter the answer in the box.<br> Response area with 1 text input box

AlexFokin [52]

Answer:

$258\quad \mathrm{Remainder}\quad \:0$

Step-by-step explanation:

$\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\$

$\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end$

Long story short ,

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\\\frac{1032}{4}\:\mathrm{is}\\\:258\:\mathrm{with\:remainder\:of}\:0$

6 0

3 years ago

If 3(x - 4) = x + 4, then x =8

Greeley [361]

Answer:

Valid

Step-by-step explanation:

3(x-4)=x+4 <em>Given</em>

3x-12=x+4 <em>Distribute</em>

2x=16<em> Subtract x from both sides and add 12 to both sides</em>

x=8 <em>Divide each side by 2.</em>

<em />

6 0

3 years ago

If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?

SCORPION-xisa [38]

<h3>Answer: 31 games</h3>

======================================================

Explanation:

32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
8/2 = 4 games happen in round 3.
4/2 = 2 games in round 4.
2/2 = 1 game as the final championship.

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

----------------

Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

$\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1$

which is equivalent to

$\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1$

3 0

3 years ago

M is between L and N. If LN = 91 and LM = 23, find MN.

Tasya [4]

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

8 0

3 years ago