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Andrew [12]
4 years ago
10

Ethan is 40 years old. His son is 12 years old.

Mathematics
2 answers:
larisa [96]4 years ago
4 0
20 years in the future......
kykrilka [37]4 years ago
3 0
40-x / 12-x = 5
40-x = 5 * (12-x)
40-x = 60 - 5*x
5*x-x = 60 - 40
4*x=20
x=5

It was 5 years ago. Ethan was 35 and son was 7.
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Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you g
AlekseyPX

Answer:

The number of rolls  = 36

Step-by-step explanation:

Thinking process:

A die has six sides (6).

Thus, the probability of striking a 6 is \frac{1}{6}

Let the number or sixes be 2

The number of roles for the die is given the following: (6)^{n} where n is the number of sixes needed.

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3 0
4 years ago
Simplify (8-7i)(-6+i)
Mrac [35]

Answer:

50 i - 41

Step-by-step explanation:

Simplify the following:

(-7 i + 8) (i - 6)

(8 - 7 i) (i - 6) = (8) (-6) + (8) (i) + (-7 i) (-6) + (-7 i) (i):

-6×8 + 8 i - 6 (-7 i) - 7 i×i

-6×8 = -48:

-48 + 8 i - 7 i (-6) - 7 i×i

-7 (-6) = 42:

-48 + 8 i + 42 i - 7 i×i

-7 i×i = -7 i^2:

-48 + 8 i + 42 i + -7 i^2

i^2 = -1:

-48 + 8 i + 42 i - 7-1

-7 (-1) = 7:

-48 + 8 i + 42 i + 7

-48 + 8 i + 42 i + 7 = (8 i + 42 i) + (7 - 48) = -41 + 50 i:

Answer: 50 i - 41

6 0
3 years ago
Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.
fredd [130]

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\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}

so the ODE is indeed exact and there is a solution of the form F(x,y)=C. We have

\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)

\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)

f'(y)=0\implies f(y)=C

\implies F(x,y)=x^2y^3+\ln(x+y^2)=C

With y(1)=2, we have

8+\ln9=C

so

\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}

8 0
3 years ago
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saveliy_v [14]

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

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5 0
3 years ago
There Are 10 Pieces Of Pie Left Over In The Cafeteria. If 5 Pieces Are Apple And 5 Are Cherry, What Fraction Of The Remaining Pi
MAVERICK [17]
5 is half of 10, so it's 1/2
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4 years ago
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