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2 years ago

The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?

Mathematics

1 answer:

pav-90 [236]2 years ago

7 0

Each young person received 200 circulars.

3,000/15= 200

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If dy/dx equals xy squared and if y = 1 when x = 0, then when y = 3, x is equal to?

S_A_V [24]

This is a separable differential equation, so let's start of there. Let's separate the variables to their own side with the respective differentials:
$\frac{dy}{dx} = xy^2$
$dy = (xy^2) dx$
$\frac{1}{y^2} dy = x dx$

Let's integrate both sides (it's separable, so we can do this):
$\int\ { \frac{1}{y^2} } \, dy = \int\ {x} \, dx$
$- \frac{1}{y} = \frac{x^2}{2} + C$

Now, let's plug in the values we are given to find the constant "C":
$- \frac{1}{1} =\frac{0^2}{2}+C$
$-1 = C$

Let's rewrite the equation, with C in it, then solve for x because we need to ultimately find x:
$- \frac{1}{y} = \frac{x^2}{2} - 1$
$x = \sqrt{2(- \frac{1}{y}+1)}$

Let's plug in y = 3 and solve for x:
$x = \sqrt{2(- \frac{1}{3}+1)} = \sqrt{ 2( \frac{2}{3}) } = \sqrt{ \frac{4}{3} }$

Let's simplify and rationalize the denominator:
$x = \sqrt{ \frac{4}{3}} = 2 \sqrt{ \frac{1}{3}} = 2 \frac{ \sqrt{3} }{3}$

So, your answer is D.

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2 years ago

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A pizza store offers 24 different toppings. If 2/3 of these choices are non meat how many options does the store offer

Hatshy [7]

So if you convert 2/3 to 4/6 and you know that 3/6 is 1/2 and 1/2 of 24 toppings is 12 toppings.
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2 years ago

Two parallel lines are cut by a transversal and two of the same-side interior angles formed have measures of (4x + 3) degrees an

oksano4ka [1.4K]

Answer:

See answers below

Step-by-step explanation:

1. If two parallel lines cut by a transversal, then the two same-side interior angles are equal

2. (4x + 3 )+ (x + 2) = 180

5x + 5 = 180

5x = 175

x = 35

3. one angle = 4(35) +3 = 143°

the other angle = 35 + 2 = 37°

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1 year ago

How many solutions are there if m < 0 and p > k ? <br><br><br><br> p + m| x + n| = k

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9514 1404 393

Answer:

Step-by-step explanation:

The solutions are ...

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m|x +n| = k -p . . . . . . subtract p

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x = -n ± (p -k)/-m

For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.

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there are 400 3rd graders,4th,and 5th graders if 187 of the students are 3rd graders and 99 of the students are 4th graders,how

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Answer:

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Step-by-step explanation:

brainliest plz it would really help out

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