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2 years ago

8

Out of every 6 students surveyed, 1 listens to country music. At this rate, how many students in a school of 1,200 listen to cou

ntry music?

2 answers:

Nutka1998 [239]2 years ago

7 0

Answer:

200!

Step-by-step explanation:

1/6=x/1200 and i have to rite an explanation but thats all so yea! hope this helped

iren [92.7K]2 years ago

3 0

Answer:

200 students

Step-by-step explanation:

1200/6 = 200

200x1= 200 students

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Alex bought a T-shirt for $24.25. This week the T-shirt costs $5.95 less. Write and evaluate an addition expression to find this

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Answer: 24.25 + (-5.95)

Explanation:

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3 years ago

Mrs.Wang is 23 years older than her daughter. In 5 years, their ages will total 63. How old are they now

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Mrs. Wang is 55 years old and her daughter is 18 years old.

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2 years ago

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Find the mean and median of these data: 2, 5, 9, 11, 17, 19.

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<span>data: 2, 5, 9, 11, 17, 19
</span>
median is the middle number
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3 years ago

Not 6 not 5 not 8.46

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1. (a) Solve the differential equation (x + 1)Dy/dx= xy, = given that y = 2 when x = 0. (b) Find the area between the two curves

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$(x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx$

$\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx$

$\ln|y| = x - \ln|x+1| + C$

When x = 0, we have y = 2, so we solve for the constant C :

$\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)$

Then the particular solution to the DE is

$\ln|y| = x - \ln|x+1| + \ln(2)$

We can go on to solve explicitly for y in terms of x :

$e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}$

(b) The curves y = x² and y = 2x - x² intersect for

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and the bounded region is the set

$\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}$

The area of this region is

$\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}$

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2 years ago