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REY [17]
3 years ago
10

Trying to understand long division formula. 5 divided by 285.I have it down to 28-25 and i have 035 but why is 35 subtracted by

35 at the end ? Please explain where the 2nd 35 comes from.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Explanation:

At each step, the product of the quotient digit and the divisor is subtracted from the dividend. This gives you the new dividend.

When the quotient digit is 7, the product of 7 and 5 is subtracted from the dividend. The dividend at that point is 35, so you have 35 - 35 = 0. The 0 is the next dividend. Among other things, that tells you you're done. (Any additional quotient digits will be zero.)

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Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?
NISA [10]

Answer:

$29.25

Step-by-step explanation:

39 x .25 = 9.75

39 - 9.75 = 29.25

5 0
2 years ago
What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)
Romashka-Z-Leto [24]
1. 22 - 3x + 7x = 4(x + 5)
   22 - 3x + 7x  = 4x + 20
  <u>      +3x  +3x   +3x          </u>
         22 + 10x = 7x + 20
        <u>          -7x   -7x        </u>
           22 + 3x = 20
          <u>-22         -22</u>
                   <u>3x</u> = -<u>2</u>
                    3      3
                     x = -2/3

2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
    <u>       +18   +18</u>
           <u>12x</u> = <u>12</u>
            12     12
               x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 =  -3x
    6x - 14 = 2(-7)
    6x - 14 = -14
    <u>     +14   +14</u>
           <u>6x</u> = <u>0</u>
            6     6
             x = 0

4. 6x + 3(x - 4) = 8(x - 3)
    6x + 3x - 12 = 8x - 24
            9x - 12 = 8x - 24
           <u>-8x          -8x        </u>
              x - 12 = -24
              <u>   +12    +12</u>
                     x = -12
8 0
3 years ago
Explain proportionality to me 7th grade math ​
kari74 [83]

If two quantities <em>a</em> and <em>b</em> are directly proportional to one another, then both <em>a</em> and <em>b</em> change in the <u>same direction</u>.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both <em>a</em> and <em>b</em> don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor <em>k</em>, so that

<em>a</em> = <em>kb</em>

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is <em>a</em>, then the amount of coffee I pour in is <em>b</em> = 1/2 <em>a</em>. So the relationship of these two quantities is governed by the equation,

<em>a</em> = 2<em>b</em>

and in this case, <em>k</em> = 2.

If instead <em>a</em> and <em>b</em> are inversely proportional, this means as one quantity changes, the other changes in the <u>opposite direction</u>.

Suppose I have two cups that I use for coffee that can both hold the same amount <em>k</em> if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base <em>a</em> and their height <em>b</em>. If one cup is twice as tall as the other, then for the smaller cup we could have

<em>ab</em> = <em>k</em>

and for the taller one,

<em>a</em> (2<em>b</em>) = <em>k</em>

But in order to get the same volume, the quantity <em>a</em> for the shorter cup must be cut in half to preserve equality:

(1/2 <em>a</em>) (2<em>b</em>) = <em>ab</em> = <em>k</em>

So one quantity is doubled (increases), while the other gets halved (decreases).

5 0
3 years ago
Solve for X and show work
Len [333]
I don’t know how to show how I got it but the answer is X=12.
7 0
2 years ago
I really need help with this ! Thanks !
slamgirl [31]
SohCahToa

Sin=oposite side/hyptoonuse
Cos=adjacent side/hypotonuse
Tan=oposite side/hypotonuse

oposite side is the side oposite the angle
adjacent side is the side touching the angle that isn't the hypotonuse
hypotonuse is longest side





1.
first solve for hypotonuse using a²+b²=c²
hypotonuse=13
sinA=12/13
cosA=5/13
tanA=12/5
sinB=5/13
cosB=12/13
toa=5/12


2. the missing side is 8
sinD=15/17
cosD=5/17
tanD=15/5=3
sinE=5/17
cosE=15/17
tanE=5/15=1/3


3. missing side is 25
you should be able to do this
sinG=7/25
do the rest


4.
missing side is 6
sinJ=6/10=3/5
do the rest
7 0
3 years ago
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