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fenix001 [56]
3 years ago
9

Which equation has a constant of proportionality equal to 1? A. y=10/11x B. y= 7/8x C. y= 3/15x D. y=x

Mathematics
1 answer:
shtirl [24]3 years ago
8 0

An equation is said to have a constant of proportionality if 'x' is a multiple of 'y' or 'y' is a multiple of 'x'.

Now, we have to determine an equation with constant of proportionality as '1'.

1. y = \frac{10}{11}x

This equation has constant of proportionality as '\frac{10}{11}'.

2. y = \frac{7}{8}x

This equation has constant of proportionality as '\frac{7}{8}'.

3. y = \frac{3}{15}x

This equation has constant of proportionality as '\frac{3}{15}'.

4. y = x

This equation has constant of proportionality as '1'.

Option D is the correct  answer.

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$8,046.37

Step-by-step explanation:

4,537*0.0455= 206.4335

206.4335*17=3509.3695

4537+3509.3695=8046.3695

8046.3695 rounded = $8,046.37

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3 years ago
Ashton had 28 1/2feet of wrapping paper. He uses 3/8
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Step-by-step explanation.

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2 years ago
Rufus works an average of 46 hours each week. He gets paid $5.70 per
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7 0
2 years ago
EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
M_6 is (2x – 5)º and m_8 is (x + 5)º.
HACTEHA [7]

m_6 + m_8 = 180º because they form a straight line.

So, (2x-5) + (x+5) = 180

    3x = 180

      x = 60

So, m_115º    (2•60 - 5 = 115)

Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.

So, m_3 = 115º

4 0
2 years ago
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