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stepan [7]
3 years ago
6

What is the constant of proportionality?

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:  B) 18

=========================================================

Explanation:

x = number of packs of yogurt (column 1)

y = number of ounces of yogurt (column 2)

To get the constant of proportionality k, we divide y over x

k = y/x

k = 36/2 = 18 .... from row 1

k = 54/3 = 18 ... from row 2

k = 90/5 = 18 .... from row 3

This k = 18 value means that each time x goes up by 1, the value of y goes up by 18. This is the slope of the line y = 18x, so it represents the rate of change.

Put another way: 1 pack of yogurt is 18 ounces

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<span>Sophia could use a 10' long tape measure to measure the artwork. Would be The correct answer hope this helps</span>
4 0
3 years ago
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The sum of two #'s is 29. The sum of the smaller and 2 times the larger is 45. Find the #'s.
Solnce55 [7]
X= 13
y=16

Work:

x+y=29

x=29-y

x+2y=45

29-y+2y=45

y=45-29

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3 0
3 years ago
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1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

  d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

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b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

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d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

  C = 40w² +225/w

4 0
3 years ago
ASAP! Please help me with this question!
Nonamiya [84]

Answer:

24 cm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

2304 pi = 4/3 pi r^3

Divide each side by pi

2304 = 4/3 r^3

Multiply each side 3/4

2304 * 3/4 = 4/3 r^3 * 3/4

1728 = r^3

Take the cube root of each side

1728 ^ 1/3 = r^3 ^ 1/3

12 = r

We want the diameter

d = 2*r

d = 2*12

d = 24

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3 years ago
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01:41:17
Vlad [161]

Answer: 69

Step-by-step explanation:

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3 years ago
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