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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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A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
3 years ago
Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling
Shkiper50 [21]

Answer:

This is cheating

Step-by-step explanation:

First you follow what your teachers tell you to do and listen

6 0
3 years ago
There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6
Elina [12.6K]

Answer:

<em><u>c2=10</u></em>

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

3 0
3 years ago
8.
beks73 [17]
The answer is 19 units number 3
3 0
2 years ago
-10.2+c=-8.14<br> Helpppp
Oksanka [162]

Answer:

c=18.34

Step-by-step explanation:

6 0
3 years ago
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