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2 years ago

If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3

Mathematics

1 answer:

weeeeeb [17]2 years ago

8 0

Answer:

p = 48

Step-by-step explanation:

If p is inversely proportional to the square of q

This is written Mathematically as:

p ∝ 1/q²

p = k × 1/q²

p = k/q²

Cross Multiply

k = pq²

k = Constant of Proportionality

Step 1

We find k

When p is 3 when q was 12

k = pq²

k = 3 × 12²

k = 432

Step 3

determine p when q is equal to 3

p = k/q²

p = 432/3²

p = 48

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valentinak56 [21]

A manufacturing company has the following fixed monthly costs and unit variable costs:

Rent = $2,200

Utilities = $375

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Given is the product is sold at $24.99 per unit

Let the number of units sold be x

Adding total cost = $2200+375+750=3325$

Equation becomes:

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So, rounding it to nearest whole number we get, 283 units.

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2 years ago

Separate the x- and y-values with a comma.<br> X=-3+y<br> 26x - 5y = 6

labwork [276]

Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x = -3 + y

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Now, substitute x = -3 + y in the second equation , we get

26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6

or, 26(-3) + 26(y) - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒ 21 y = 84

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2 years ago

4 can go into 56 how many times

Stels [109]

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$S=\frac{n}{2}(2a +(n-1)d)$

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On substituting there values,we will get

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And for company A, it is

$S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500$

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3 years ago