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dlinn [17]
3 years ago
15

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0
Direct variation is of the form y=kx, so y/x should be a constant, k...

-8/-2=-16/-4=-24/-6=k=4 so y=kx is:

y=4x
Lana71 [14]3 years ago
3 0

Answer:

K = 4 and y = 4x

Step-by-step explanation:

we have to find the constant of variation for the table in which y varies directly with x

y ∝ x

y = Kx

Where K is constant of variation.

K = \frac{y}{x}

1.  For x = -2 and y = -8

                           K = \frac{-8}{-2} = 4

2.  For x = -4 and y = -16

             K = \frac{-16}{-4} = 4

3.  For x = -6 and y = -24

             K = \frac{-24}{-6} = 4

Therefore, K = 4 and y = 4x will be the equation.

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Five pounds of birdseed is used to fill 4 identical bird feeders.
enyata [817]

Answer:

a. We need 1/4 for each feeder  

b. To fill each feeder we need 1.25 pounds

c.  We need 60 ounces to fill three bird feeders

Step-by-step explanation:

Five pounds of birdseed is used to fill 4 identical bird feeders,  

a. We divide all the birdseed in 4 feeders, so,  we need 1/4 for each feeder.

b. If we use 5 pounds for the 4 feeders,  so each feeders will take 1/4 of the 5 pounds

=1/4 x 5=1.25 pounds

c. To fill three bird feeders we have to multiply the amount of pounds by feeder by 3 feeders

=1.25 pounds x 3

= 3,75 pounds

If 16 ounces are a pound

so,  16 x 3.75 = 60 ounces

8 0
3 years ago
Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?
PilotLPTM [1.2K]

3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\  \frac{54}{18}  <  \frac{18x}{18}  \\ x > 3

Solution : ] 3 , + ♾️ [

PLEASE GIVE BRAINLIEST

8 0
2 years ago
Find the surface area plz
vladimir1956 [14]
Hi again! ;)

If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.

Since each side of a square is the same, we first find the area of one surface:

9 × 9 = 81

Then, to find the surface area, we multiply 81 by 6:

81 × 6 = 486

The surface area is
486 \:  {in}^{2}
7 0
3 years ago
Find the missing side length of the triangle.
Ilia_Sergeevich [38]

Answer:

c = 10

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)

Here given: a = 8 cm, b = 6 cm, c = ?

Substituting values:

8² + 6² = c²

c² = 64 + 36

c² = 100

c = √100

c = 10

5 0
1 year ago
Read 2 more answers
Write the equation of each ellipse in standard form with the given characteristics.
Eddi Din [679]

Answer:

Step-by-step explanation:

The foci are horizontally aligned.

horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

center (h,k)

vertices (h±a,k)

length of minor axis = 2b

foci (h±c,k), c² = a²-b²

Apply your data and solve for h, k, a, and b.

foci (±3√19, 6)

h = 0

k = 6

Length of minor axis = 2b = 10

b = 5

foci (h±3√19, 6)

c = 3√19

c³ = a² - b²

171 = a² - 25

a²  = 196

x²/196 + (y-6)²/25 = 1

6 0
2 years ago
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