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Talja [164]
3 years ago
11

What is the Lcm of 31, 16 and 4

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

496

Step-by-step explanation:

Start by writing out the multiples of each number

31  62  93  124  155  186  217  248  279  310  341  372  403  434  465  496

16  32  48  64  80  96  112  128  144  160  176  192  208  224  240  256  272  288  304  320  336  384  400  416  432  448  464  480  496

4  8  12  16  24  28  32 36 40  44  48  52  56  60  64  68  72  76  80  84...496

Once you find the least common multiple for 31 and 16, it should be the same lcm for 4. (4 is a factor of 16)

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2x - 2y + z= -7<br>-x + 3y + 2z = 0<br>x - 4y - 3z= 1​
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule.  Do that by finding the determinant of the matrix, |A|.  The matrix A looks like this:

2   -2   1

-1     3   2

1    -4   -3

and we find the determinant of a 3x3 by expanding it.  Do that by picking up the first 2 columns and throw them on at the end, like this:

2   -2    1     2   -2

-1     3    2    -1    3

1    -4    -3    1    -4

and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:

[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to

-18 - (-19) = 1

So the determinant of the matrix A is |A| = 1.

Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:

2    -7     1     2     -7

-1      0     2    -1     0

1      1     -3     1      1

and find the determinant of y:

[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to

-15 - (-17) = 2

So the detminant of y is |Ay| = 2

We can solve for the variable now by dividing Ay by A:

2 / 1 = 2

So the solution for y = 2

6 0
3 years ago
How many integers are between the square root of -13 and 14
inna [77]

Answer:

It might be square of 13 and 14

Anyway the answer is

-13 square-14 square-1

So,

196-169-1

27-1=26 integers

8 0
3 years ago
If Noah ran 2 1/2 miles in 3/5 How fast, in miles per hour, did he run?
Olegator [25]
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours

speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr

Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr

Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr

Anna was the fastest
4 0
3 years ago
Read 2 more answers
Find the total surface area.
AURORKA [14]

Answer: 1308m

Step-by-step explanation:

Top and Bottom: 19 x 16 x 2 = 608

Sides: 16 x 10 x 2 = 320

Front and Back: 19 x 10 x 2 = 380

608 + 320 + 380 = 1308

8 0
2 years ago
If 8 newspapers cost $3.30, how much will 6 newspapers cost?
Rashid [163]

Answer:

2.47

Step-by-step explanation:

one news paper is 0.4125 so multiply that by 6 =

8 0
3 years ago
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