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iVinArrow [24]
3 years ago
13

478 divided 16 using partial quotients

Mathematics
2 answers:
belka [17]3 years ago
7 0

Answer:

Quotient = 29 and remainder =14

Step-by-step explanation:

We need to find \frac{478}{16} using partial quotients.

In partial quotients we subtract the easy multiple of the divisor from dividend (e.g. 100x, 10x, 5x, 2x). Then Record the partial quotient in a column to the right of the problem.

16    |        478

       |       -320                    (subtract 16×20)

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

       |         158

       |        -144                    (subtract 16×9)  

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

                  14

14 is less than 16 so now we can stop. So, the value of remainder is 14.

The value of quotient is

Quotient = 20 + 9 = 29

Therefore, the quotient is 29 and remainder is 14.

Rainbow [258]3 years ago
6 0
In partial quotients, it need several steps before it can  find the quotient.

Example : 
      16    |     478    |
                  - 320   |  20
                   158     |         
                   -144    | 9
                     12

Since 12 is less than 16, it now became a remainder

so the answer is 29 R 12

hope this helps

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archy bought 15 gallons of gas for $23.85. Joe bought 16 gallons of gas for $24.48. who paid less per gallon?
tekilochka [14]
Archy:  15 gallons ... $23.85
               1 gallon ...$ x = ?

x * 15 = 1 * 23.85    /15
x = 23.85 / 15
x = $1.59 per gallon

Joe:  16 gallons ... $24.48
           1 gallon ... $ y = ?

y * 16 = 1 * 24.48    /16
y = 24.48 / 16
y = $1.53 per gallon

Result: Joe paid less per gallon.
3 0
3 years ago
Given: AB ∥ DC
RSB [31]

Answer:

A=1,720.16\ units^2

Step-by-step explanation:

we know that

The area of the trapezoid is equal to

A=\frac{1}{2}(DC+AB)DE

step 1

Find the measure of angle DAE

m∠ADC+m∠DAE=180° -----> by consecutive interior angles

we have

m∠ADC = 134°

substitute

134°+m∠DAE=180°

m∠DAE=180°-134°=46°

step 2

In the right triangle ADE

Find the length side AE

cos(∠DAE)=AE/AD

AE=cos(46\°)(40)\\AE=27.79\ units

step 3

In the right triangle ADE

Find the length side DE

sin(∠DAE)=DE/AD

DE=sin(46\°)(40)\\DE=28.77\ units

step 4

Find the area of ABCD

A=\frac{1}{2}(DC+AB)DE

we have

DC=32\ units\\AB=DC+2(AE)=32+2(27.79)=87.58\ units\\DE=28.77\ units

substitute

A=\frac{1}{2}(32+87.58)28.77

A=1,720.16\ units^2

5 0
4 years ago
Which equation has both 4 and -4 as possible values of y?
aleksley [76]
C) Y^2=16

Because the two numbers combined to get 16 are:

4 x 4 = 16

Or

-4 x -4 = 16
4 0
3 years ago
The length of a rectangle is seven inches more than its width. Its area is 78 square inches. Find the width and length of the re
Alekssandra [29.7K]

Answer:

Length: 23.38

Width: 3.34

Step-by-step explanation:

First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.

So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.

Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.

7x^2 = 78

x^2 = 78/7

x^2= 11.142...

x = sqrt(1.142...)

x = 3.338 --> 3.34 --> width

3.34 x 7 --> 23.38 --> length

3.34 x 23.38 --> 70.8

8 0
3 years ago
Read 2 more answers
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sveta [45]

Answer:

  No

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The 16 cm² shape will not fit through an 8 cm² hole.

6 0
4 years ago
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