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3 years ago

A Theater has 500 seats. three-fourths of the seats are filled how many seats are filled? Explain your work

Mathematics

2 answers:

Orlov [11]3 years ago

4 0

75% of 500 is 375
so there are 375 seats filled.
so that mean's there 125 seats left

makkiz [27]3 years ago

4 0

400 seats are filled since there are 500 and three fourth would mean 400

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Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?

grandymaker [24]

Answer:

$f(x)=-4(x-2)(x+7)$

Or, in standard form:

$f(x)=-4x^2-20x+56$

Step-by-step explanation:

We can use the factored form of a quadratic equation:

$f(x)=a(x-p)(x-q)$

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

$f(x)=a(x-2)(x+7)$

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

$32=a(1-2)(1+7)$

We can now solve for a. First, compute:

$32=a(-1)(8)$

Multiply:

$32=-8a$

Divide both sides by -8:

$a=-4$

So, the value of a is -4.

Therefore, our entire equation is:

$f(x)=-4(x-2)(x+7)$

Notes:

We can expand this into standard form:

$f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56$

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3 years ago

I have 5 marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value o

fomenos

Answer:

The expected values from the product of 2 marbles are 1,2,3,4,5,6,8,10,12,15,20

Step-by-step explanation:

THe expected values are 1,2,3,4,5,6,8,10,12,15,20

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3 years ago

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miskamm [114]

Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

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1.5 = (20 mph + wv) / (20 mph -wv)

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Lunna [17]

Answer:

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