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Aleksandr [31]
3 years ago
8

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are use

d in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present. How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest hundredth, if necessary.
Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

8 ohms

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = \frac{k}x} ← k is the constant of variation

To find k use either of the given conditions

y = 10 when x = 12 or y = 5 when x = 24, hence

k = 10 × 12 = 120

y = \frac{120}{x} ← equation of variation

when x = 15, then

y = \frac{120}{15} = 8


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Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. She has
Varvara68 [4.7K]

Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

<h3>What is the unit price?</h3>

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

C=60\times50\\C=3000

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

P=60+5\\P=65

The sale's price of 50 earrings is,

P=50\times65\\P=3250

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

P=3250-60\\P=3190

The profit made by her company on 50 earrings is

p=P-C\\p=3190-3000\\p=190

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

Learn more about the unit price here;

brainly.com/question/25879801

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8 0
1 year ago
SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Pavlova-9 [17]

Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels


Step-by-step explanation:

Given function  f(r)=40r+26, where r is the number of rolls of nickels she gets.


as it is already mentioned that she can get up to 10 rolls of nickels.


Therefore domain of function contains r ≤10,such that r is a natural number.


i.e.Domain of f(r)=all integers from 1 to 10, inclusive.


Domain of a f(x) is a set of values of x which make function f(x) well defined.



--------------------------------------------------------------------------------------------------------


Have a great day! ( :

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9514 1404 393

Answer:

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Step-by-step explanation:

The line goes through the origin, so the y-intercept is b=0.

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Write the expression <br> 3x-(2-4x) in standard form
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