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amid [387]
3 years ago
13

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:

  • y = -6/x

Step-by-step explanation:

<u>Inverse variation equation:</u>

  • y = k/x, where k - coefficient

<u>We have:</u>

  • x = 6, y = -1

<u>Work out the value of k by substituting the values of x and y:</u>

  • -1 = k / 6
  • k = -1*6
  • k = -6

<u>The equation is:</u>

  • y = -6/x
lora16 [44]3 years ago
6 0

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x

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(15, 31) is rotated 90 ° counterclockwise which coordinates gives me
dezoksy [38]

Answer:

(-31,15)

Step-by-step explanation:

Rotating 90 degrees clockwise is very simple:

(a,b) 90 degrees= (-b,a)

Very simple.

Just switch sides and add negative to the first term.

4 0
3 years ago
Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 3636
Nostrana [21]

Answer: the cost of one chicken is $8

The cost of one duck is $5

Step-by-step explanation:

Let x represent the cost of one chicken.

Let y represent the cost of one duck.

Last month, he sold 50 chickens and 30 ducks for $550. It means that

50x + 30y = 550- - - - - - - - - - - 1

This month, he sold 44 chickens and 36 ducks for $532. It means that

44x + 36y = 532- - - - - - - - - - - 2

Multiplying equation 1 by 44 and equation 2 by 50, it becomes

2200x + 1320y = 24200

2200x + 1800y = 26600

Subtracting, it becomes

- 480y = - 2400

y = - 2400/- 480

y = 5

Substituting y = 5 Intl equation 1, it becomes

50x + 30 × 5 = 550

50x + 150 = 550

50x = 550 - 150

50x = 400

x = 400/50

x = 8

3 0
3 years ago
Read 2 more answers
Ok this is a long one, so any help would mean the world, even if you only do part of it.
jeka94
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8 0
3 years ago
Find the area of the triangle with a= 18.8, b= 11.6, c= 13.8. Round to the nearest tenth.
Anika [276]

Answer:

not rounded is 44.2, rouned to the nearest tenth is 40

Step-by-step explanation:

3 0
3 years ago
A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​
Anni [7]

[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

Area = 1420

Width = 45\frac{1}{2}

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ 45\frac{1}{2}

Convert mixed numbers to fractions:

1420 = \frac{1420}{1}

45\frac{1}{2} = \frac{91}{2}

\frac{1420}{1} ÷ \frac{91}{2}

Use mixed multiplication:

\frac{1420*2}{1*91}

= \frac{2140}{91}

Simplify:

= 31\frac{19}{91}

\boxed{[ \ Eclipsed \ ]}

7 0
3 years ago
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