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Margaret [11]
3 years ago
15

1/150 : 2 = 1/200: X

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

The value of X is X=\frac{3}{2}

Step-by-step explanation:

Given : \frac{1}{150} : 2=\frac{1}{200} : X

To find : The value of X ?

Solution :

\frac{1}{150} : 2=\frac{1}{200} : X

Converting ratios into fraction,

\frac{\frac{1}{150}}{2}=\frac{\frac{1}{200}}{X}

\frac{1}{150\times 2}=\frac{1}{200\times X}

Cross multiply,

200X=300

X=\frac{300}{200}

X=\frac{3}{2}

Therefore, The value of X is X=\frac{3}{2}

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-8a - 7b - 7c

Step-by-step explanation:

-8a - 2b - 10c - (5b - 3c)

Negate 5b and -3c

-8a - 2b - 10c - 5b + 3c = -8a - 7b - 7c

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HELP!!!In the expression 100 a/b, if a is greater than b, which statements are true? b ≠ 0. Select all that apply.
MAXImum [283]

Answer:

\large\boxed{\text{The expression is equal to}\ \sqrt[b]{100^a}}\\\boxed{\text{The expression is greater than 100}}

Step-by-step explanation:

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What is the value of k ?
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Here is the equation

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
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