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svetlana [45]
3 years ago
6

The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

C) 4

Step-by-step explanation:

Given equation:

2y=8x

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

<em>The equation representing proportional relationship is given by:</em>

<em>y=kx</em>

<em>where k represents constant of proportionality.</em>

So, in order to find the value of k for the given proportionality relationship, we will solve for y

We have:

2y=8x

Solving for y

Dividing both sides by 2.

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

y=4x

∴ k=4

Thus, the constant of proportionality = 4.

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What is the location of the sum 11+(-5) with respect to 11 on a number line?
stealth61 [152]
B is the correct answer because it is 11-5

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3 0
3 years ago
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15. Scott and Tara were asked to find the
Dmitriy789 [7]

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

<em>Verify Scott 's work</em>

<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

<em>Verify Tara's work</em>

<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

5 0
3 years ago
you earn $420 per week. You pay social security taxes of 7.65% federal taxes of 22%, and state taxes of 5.95%. What is your take
Marysya12 [62]
First you need to solve for how much you lose for each individual tax, so 420x.0765 will give you how much money you lose to social security tax, then do the same for the other types and add them together, the value will give you the amount you have lost, so taking the total (420) minus the amount lost you will have the amount that you can "take home" So 420-((420x.0765)+(420x.22)+(420x.0595)) = amount still in your pocket
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3 years ago
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Liono4ka [1.6K]
2x + 9 = -65
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3 years ago
Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM
gavmur [86]

Answer:

Step-by-step explanation:

Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.

So that;

NR ≅ OP (property of a regular polygon)

PM ≅ RM (half of the distance across flats of a polygon)

NM ≅ OM (half of the distance across flats of a polygon)

<NMR ≅ <PMO (vertically opposite angles)

<NRM ≅ <OPM (alternate angle property)

<RNM ≅ <POM (alternate angle property)

This therefore proves that: ΔNRM = ΔOPM

3 0
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