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pentagon [3]
3 years ago
7

Convert 4 1/8 ÷ 2 3/4 to improper fractions​

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

3/2

Step-by-step explanation:

4 1/8 / 2 3/4

= 33/8 /  11/4

= 3/2

Delicious77 [7]3 years ago
7 0

Answer:

(33/8)/(15/4)=1 1/10

Step-by-step explanation:

To convert to improper fractions, you have to multiply the denominator by the number to the left and add the numerator when converting a mixed number. So,

8*4=32 ,,,,, 32+1=33 But we still have to divide it by the denominator so it's 33/8

Do the same thing for the other mixed number. To solve with the improper fractions, you must multiply by the reciprocal of the 2nd number in your expression.

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If x+1/x = 5 find the value of x^3 +1/x^3. pls solve​
Korolek [52]

Answer:

1) solve x+1/x = 5

\frac{x + 1}{x}  = 5

x + 1 = 5x

x - 5x =  - 1

- 4x =  - 1

x =  \frac{ -1}{ - 4}

x =  \frac{1}{4}

2) solve x³+1/x³

x {}^{3}  +  \frac{1}{x {}^{3} }

substitute x = 1/4 into the expression

( \frac{1}{4} ) {}^{3}  +  \frac{1}{( \frac{1}{4}) {}^{3}  }

\frac{1}{64}  +  \frac{1}{ \frac{1}{64} }

\frac{1}{64}  +  \frac{64 \times 1}{1}

\frac{1}{64}   + 64

\frac{4097}{64}  \: or \: 64.02

5 0
3 years ago
If the perimeter is 86 inches, what is the length of the shortest sides
svet-max [94.6K]

Since perimeter means adding all 4 sides, you divide 86 divided by 4 equals = 21.5. Then do 21.5 + 21.5 which equals 43. And 43 + 43 = 86. So two sides are 21.5, and the other two sides are 43. So 21.5 <  43. 21.5 is the shortest sides. Hope this Helps!


8 0
3 years ago
Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolle
Lera25 [3.4K]

Answer:

a) Expected value = 6.406

Variance = 4.905

Standard deviation = 2.45

b) The probability is 0.08547

Step-by-step explanation:

a) Let's suppose that:

X₁ = number of 6´s

X₂ = number of Jack, Queen, King or Aces

The mean of X₁ is:

MeanX₁ = n * p = 20 * (1/6) = 3.33

The variance of X₁ is:

Var-X_{1} =np(1-p)=3.33(1-(1/6))=2.775

The mean of X₂ is:

MeanX₂ = 10 * (16/52) = 3.076

The variance of X₂ is:

Var-X_{2} =3.076(1-(16/52))=2.13

The expect value of X is:

Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406

The variance of X is:

VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905

The standard deviation is:

Xdevi = 4.905/2 = 2.45

b) The probability of drawing at least five six out of 20 rolls is equal to:

∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5

The probability of at least 4 Jack, Queen, Kings or Aces is:

∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4

The probability of given event is equal to:

P = 0.231 * 0.37 = 0.08547

5 0
3 years ago
The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship
Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates

Hence, 16 crates will fit in the boxcar.

6 0
3 years ago
HELP PLEASE<br> 18 miles= how many feet<br> _________feet<br><br><br>​
Delvig [45]

Answer:

18 miles= how many feet

____95,040_____feet

Step-by-step explanation:

happy to help ya:)

6 0
3 years ago
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