1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
3 years ago
14

Topic: expressing one quantity as a percentage of the other... so my question is: 5 is what percent of 40 .. so 5/40 x 100 i wil

l start with right... so what i dont get is first of all : how do i get the and for 5/40 to multiply it by 100... somebody please explain... thanks
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

5 is 12.5% of 40.

Step-by-step explanation:

So I think your question here is about long division? You're asking about how to divide 5 by 40? Well... you could techincally leave it as a fraction and multiply by 100. I don't know what your teacher is looking for.

Another way to do it, which is easier, in my opinion, is to simplify the fraction first.

Check if 40 is divisible by 5. (It's 5*8.)

So you have 5/(5*8). Dividing a number by itself is always 1, so your simplified fraction is 1/8. You multiply that by 100 to get 100/8. You divide both the numerator and the denominator by 4 to get 25/2. (You might have to change it to a decimal.)

You could also multiply 5 by 100 first and then divide it by 40. It won't change the outcome.

5/40 * 100 = (5*100)/40

Whether you set it up like that or not, you can cancel out factors that 40 and 100 have in common.

What I mean by that is... numbers are made up of their factors, right?

100 = 10 * 10

40 = 10 * 4

So (5*10*10)/(10*4)=(5*100)/40

Again, multiplying something by a number and dividing by the same number right after doesn't change the value. The processes cancel each other out. So, you can just go ahead and cancel out those 10's:

(5*10*<u>10</u>)/(<u>10</u>*4)=(5*10*1)/(1*4)

The underlined parts are to show which numbers cancel each other out. Because anything times 1 is just itself, you can remove the ones to get:

(5*10)/4

You can still simplify more.

10 = 2*5

4 = 2*2

And, using the same method we used earlier, we can simplify.

 (5*<u>2</u>*5)/(<u>2</u>*2)

=(5*1*5)/(1*2)

=(5*5)/2

5 and 2 are both prime numbers, so they don't share any factors. We can't simplify any further. So you multiply 5*5 and you have 25/2. Now you can't avoid the division. (Only if your answer has to be a decimal, though! Make sure to check with your teacher.)

So... the division part.

2⟌25

So you start by checking how many times the divisor (the number on the outside, the denominator, so 2) goes into the largest place value of the dividend (the number on the inside, the numerator). What I mean by that is, 25 is a two-digit number, right? You check the place on the very left.

<u>2</u>5

So you need to know how many times 2 goes into 2. 2/2 is 1, so you write that 1 on the top.

    1

2⟌25

  -2

   ___

   0

So after you divide the tens place by 2, you subtract to find the remainder. In this case, there was none, but say you were dividing 35 by 2 instead, there would be a remainder of 1. That's why you can't miss that step. Then, you bring the digit from the units place down.

    1

2⟌25

  -2

   ___

   05

Now you need to divide 5 by 2. 2*2=4, that's too low. But 2*3=6, so that definitely doesn't work. You need to use 2 because you can have a remainder, but your answer can't be higher than the real thing. You write the 2 at the top next to the 1, and subtract 2*2 from 5 to get the remainder.

    12

2⟌25

  -2

   ___

   05

   - 4

   ___

      1

Now's where it gets kind of complicated. Because 2 doesn't go into 1 even once, you can't go any further without adding a decimal point at the top. When you do this, you can change the 1 at the bottom to a 10. (It won't <em>actually</em> be a 10-- it's 1.0, which is the same as 1. But because you've already added the decimal point on the top, you can continue your work as if it's a 10.) This is because 1.0=1.00=1.000, and so on, so there's an endless number of 0's you can bring down and continue your work with.

   12.

2⟌25

  -2

   ___

   05

   - 4

   ___

      10

Now you can divide 10 by 2 and put the result next to the decimal point on the top, and you're done! 10/2=5

   12.5

2⟌25

  -2

   ___

   05

   - 4

   ___

      10

     -10

     ___

        0

And that's it, you're done! 5 is 12.5% of 40. I'll show the same method of long division for 5/40. In this case, you can't get 40 into 5 even once without adding the decimal point on top.

      0.  

40⟌50

And then you continue normally.

      0.1  

40⟌5.00000000...

     -40

     ___

      10

At first, it might seem like you don't have any more digits to bring down, but you've already put down that decimal point. Again, 5.0=5.00=5.000=5.0000 and on and on and on. You have an endless amount of 0's you can bring down each time.

40 goes into 100 twice.

      0.12  

40⟌5.00000000...

     -40

     ___

      100

      -80

      ___

        20

Again, bring down another 0. 40 goes into 200 5 times.

      0.125  

40⟌5.00000000...

     -40

     ___

      100

      -80

      ___

        200

       -200

      ____

             0

So 5/40 is 0.125.

I really hope I could help you! I'm so sorry if I overexplained things, I wasn't sure which part you were confused on...

         

You might be interested in
2x+3y=15 x+y=6 find values for x and y
MatroZZZ [7]

Answer:

  (x, y) = (3, 3)

Step-by-step explanation:

Subtract double the second equation from the first.

  (2x +3y) -2(x +y) = (15) -2(6)

  y = 3 . . . . . . . . simplify

Use the second equation to find x.

  x = 6 -y = 6 -3 = 3

The values of x and y are both 3.

8 0
2 years ago
*Absolute Value*<br> Solve each equation. Write your answer as a solution set.<br> lml=14
Zarrin [17]
Answer: M= 14 or -14

Reason: When the absolute value symbol is around a number it turns it into it how far from 0 is it. And both 14 and -14 are 14 numbers away from 0


Hope this helps
8 0
3 years ago
76767676767676767676767676767676767676767676767676767676767676767676-67676767676767676767676767676767676767676767676767676767676
jenyasd209 [6]

Answer:

6767676766767676776767677676767676677676767676767

Step-by-step explanation:

76767676767676767676767676767676767676767676767676

8 0
3 years ago
100 POINTS AND BRAINLIEST. I need help ASAP.
Svetach [21]

Answer:

Step-by-step explanation:

First what we must do is rewrite the table to find a solution:

0.25^x −0.75x+1

   64     3.25

   16     2.5

    4      1.75

    1      1

 0.25     0.25

 0.0625 −0.5  

 0.015625  −1.25

We see where the values of the function are the same:

x = 0 (1)

x = 1 (0.25)

answer:

x = 0

x = 1

4 0
2 years ago
The table shows the steps for solving the given inequality 4-3(x-5)&gt;6x-17
mina [271]

Step-by-step explanation:

(=) 1 ( x-5 ) > 6x-17

(=) x-5 > 6x -17

(=) -5x > -12

=> x < 12/5

7 0
2 years ago
Other questions:
  • Find the 86th term of the arithmetic sequence 18, 21, 24,
    9·1 answer
  • What would 24 above 28 be??
    8·2 answers
  • Please please answer this with the right answer and thanks for your help???<br><br>14 POINTZ!!<br>​
    13·2 answers
  • Section 2 Topic 3 Homework
    6·1 answer
  • PLEASE HELP I NEED TO DO THIS ASSIGNMENT!!
    14·2 answers
  • If Juliana and Brody hiked 3 2/3 trail and 2 5/6 trail how far did they hike
    14·1 answer
  • The diameter of a circle is <br> 6units.<br> What is the radius of the circle?
    12·2 answers
  • I need Help ASAP please!!
    11·2 answers
  • HELP ASAP PLZ
    7·2 answers
  • Which inequality is equivalent to |x-4| less than 9? –9 &gt; x – 4 &lt; 9 –9 &lt; x – 4 &lt; 9 x – 4 &lt; –9 or x – 4 &lt; 9 x –
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!