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ira [324]
3 years ago
10

What is the constant of variation if y varies inversely as x and y = 3 when x = 6? PLZ HELP ME I DONT UNDERSTAND

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

k = 18

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 the condition y = 3 when x = 6, that is

3 = \frac{k}{6} ( multiply both sides by 6 )

18 = k

The constant of variation is k = 18

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In the triangle below, with right angle , suppose that and .
bazaltina [42]

Answer:

G= 60.5

E= 70.9

F= 90

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4 0
3 years ago
Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2
disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

x + y = 19\\0.25x + 0.30y = 5.10

From the first equation we have to:

x = 19-y

replacing in the second equation:

0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7

So, Carl bought 7 Gala apples

On the other hand:

x = 19-7 = 12

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0
3 years ago
At the malt shop a large chocolate shake takes 0.2 of a pint of milk. If a medium shake takes 0.7 the amount of a large, how muc
Maslowich
The answer would be 0.9 pints of shake
5 0
3 years ago
Read 2 more answers
Feb 05, 3:07:40 PM
zaharov [31]
Solve (2x - 1)(3x^2 - 9x - 4)
=

7 0
3 years ago
solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation​
In-s [12.5K]

Answer:

<h2>x = -348.5, y = 350.5</h2>

Step-by-step explanation:

32base x means 3x + 2

Similarly, 32base x+51base y equals to 3x + 2 + 5y + 1 = 3x + 5y + 3

and 23base x +42 base y means 2x + 3 + 4y + 2 = 2x + 4y + 5

As per the given condition, 3x + 5y + 3 = 2x + 4y + 5\\x + y = 2

Putting, y = 2 - x in 2x + 4y + 5 = 710, we get

2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5

y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5

6 0
3 years ago
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