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4 years ago

Which fraction is larger 8/10 or 73/100

Mathematics

2 answers:

goldenfox [79]4 years ago

7 0

80/100 that is what it will be transferred to

kap26 [50]4 years ago

7 0

To know which one is larger we need to write both with the same denominator
8/10=80/100 if written over 100
And this is done by multiplying both the numerator and denominator by 10
Hence 8/10 is larger

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What is the value of x in the proportion 2/5 = 10/x? (show work)

MakcuM [25]

$\frac{2}{5} = \frac{10}{x} \\ cross \: multiply \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25$

6 0

4 years ago

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Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

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3 years ago

Jasmine painted flowers in art class. She painted 5 daisies, 7 pink roses, and 3 tulips.

andreyandreev [35.5K]

Answer:

15 flowers

Step-by-step explanation:

7+3=10

10+5=15

7 0

2 years ago

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What is the area of the given compound shape?<br><br>a) 69.8cm^2<br>b) 39.8cm^2<br>c) 49.6cm^2

faust18 [17]

Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2 (after converting to the nearest tenth)

7 0

3 years ago

The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are th

xeze [42]

The answer is (-7, -12).

Attached is the graph to show the answer.

4 0

3 years ago

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