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Diano4ka-milaya [45]
4 years ago
5

How do i convert 37/4 into mixed numbers

Mathematics
1 answer:
IrinaVladis [17]4 years ago
4 0
How many times does (4) go into (37) ?  9 TIMES.

Remainder 1.

So as a mixed number would be 9 whole number, 1/4

= (9 1/4)
You might be interested in
If:
PSYCHO15rus [73]

Take some trinomial expansions to find some useful expressions and their values.

• 2nd degree expansion

x + y + z = 7 \\\\ \implies (x+y+z)^2 = x^2+y^2+z^2+2(xy+xz+yz) = 7^2 \\\\ \implies xy+xz+yz = \dfrac{49-33}2 = 8

• 3rd degree expansion

x+y+z=7 \implies (x+y+z)^3 = 7^3 \\\\ \implies \\ 243 = x^3+y^3+z^3+3(x^2y+x^2z+xy^2+y^2z+xz^2+yz^2) + 6xyz \\\\ \implies \\ x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 + 2xyz = \dfrac{343 - 145}3 = 66

• 4th degree expansion

x+y+z=7 \implies (x+y+z)^4 = 7^4 \\\\ \implies \\ 2401 = x^4+y^4+z^4+4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~+ 6(x^2y^2+x^2z^2+y^2z^2) + 12(x^2yz+xy^2z+xyz^2) \\\\ \implies \\\\ x^4+y^4+z^4 = 2401 - 4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~~~~~~~~~~~- 6(x^2y^2+x^2z^2+y^2z^2) - 12(x^2yz+xy^2z+xyz^2)

Simplify:

x^3y+x^3z+xy^3+y^3z+xz^3+yz^3 \\\\ ~~~~ = x^2 (xy+xz) + y^2 (xy+yz) + z^2 (xz + yz) \\\\ ~~~~ = x^2 (xy+xz+yz) + y^2 (xy+xz+yz) + z^2 (xy + xz + yz) - (x^2yz + xy^2z + xyz^2) \\\\ ~~~~ = (x^2+y^2+z^2) (xy+xz+yz) - xyz (x+y+z) \\\\ ~~~~ = 264 - 7xyz

x^2y^2+x^2z^2+y^2z^2 \\\\ ~~~~ = xy\cdot xy + xz \cdot xz + yz \cdot yz \\\\ ~~~~ = xy(xy+xz+yz) + xz(xy+xz+yz) + yz(xy+xz+yz) - 2(x^2yz+xy^2z+xyz^2) \\\\ ~~~~ = (xy+xz+yz)^2 - 2xyz(x+y+z) \\\\ ~~~~ = 64 - 14xyz

x^2yz+xy^2z+xyz^2 = xyz (x + y + z) = 7xyz

Then the equation we got from the 4th degree expansion reduces to

x^4+y^4+z^4 = 2401 - 4(264-7xyz) - 6(64-14xyz) - 12(7xyz) \\\\ ~~~~~~~~~~~~~~~~~= 961 + 28xyz

and all we need now is the value of xyz.

In the 3rd degree expansion, we have

x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 \\\\ ~~~~ = x(xy + xz) + y(xy + yz) + z(xz + yz) \\\\ ~~~~ = x(xy+xz+yz) + y(xy+xz+yz) + z(xy+xz+yz) - 3xyz \\\\ ~~~~ = (x+y+z)(xy+xz+yz) - 3xyz \\\\ ~~~~ = 56 - 3xyz \\\\ \implies (56 - 3xyz) + 2xyz = 66 \\\\ \implies xyz = -10

So, we end up with

x^4+y^4+z^4 = 961 - 280 = \boxed{681}

4 0
1 year ago
A survey of a group of students was conducted. The students were asked if they were taking a
ivolga24 [154]

Step-by-step explanation:

add them by order to get the answer.

8 0
3 years ago
Michelle use 2 1/4 cups of Chex cereal for every 1/2 cups of raisins when making a snack mix. Enter the number of cups of Chex c
LiRa [457]
Pretty sure its 4 2/4 cups
7 0
3 years ago
3x + 2y = 1 5x – 2y = 39
Alekssandra [29.7K]
3x + 2y = 39
-3x -3x

2y = 39-3x
— ———
2 2

y= 19.5 - 3x/2
plug (19.5 - 3x/2) for y

1.5x - 2(19.5 - 3x/2)= 39
x= 17.33333333334
7 0
3 years ago
PLEASEEEEE HELPPPP ASAPPP
Ivanshal [37]

Answer:

  40.5°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this triangle, that means ...

  tan(x°) = 4.7/5.5

The angle is found using the inverse function:

  x° = arctan(4.7/5.5) ≈ 40.5°

8 0
3 years ago
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