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den301095 [7]
3 years ago
10

Can anyone explain to me me how long division works briefly or in detail? For 20pts?

Mathematics
1 answer:
KIM [24]3 years ago
5 0
If you have 1275 ÷ 4, you write it as shown, with 1275 on the inside and 4 on the outside. then you go digit by digit and find how many times 4 goes into the number. it goes into 1 zero times, so an imaginary 0 is put in the first spot above the 1. next, 4 goes into 12 three times, so 3 is written above the 2. After that, subtract 4×3 from 12, which leaves 0, and bring down the 7. 4 goes into 7 once with a remainder of 3, so a 1 is put up top and the 5 brought down next to the three. 4 goes into 35 eight times with a remainder of 3,so 8 is written up top. the 3 is the remainder, written as R3. so your answer is 1274÷4= 318 R3.
Hope this helps.

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Compare the fractions 5 by 9 and 6 by 11​
alukav5142 [94]

Answer:

5/9 and 6/11

= 5/9 × 11/11 and 6/11 × 9/9

= 55/99 and 54/99

= 55/99 > 54/99

<em>therefore, 5 by 9 is greater than 6 by 11</em>

4 0
3 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
Fine the equivalent expression 4^-5
Novay_Z [31]

Answer:

1/1024

Step-by-step explanation:

1/(4*4*4*4*4)

1/1024

3 0
2 years ago
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
3 years ago
Read 2 more answers
Q # 4 find the slope of the line through the pair of points A(2, -3), P(2, 9)
lutik1710 [3]
The answer is 12/0, which is undefined
8 0
3 years ago
Read 2 more answers
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