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saul85 [17]
3 years ago
11

The equation y=2/3x is a proportional relationship. Which value represents the constant of proportionality?

Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

k = \frac{2}{3}

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportion

y = \frac{2}{3} x ← is in this form

with k = \frac{2}{3}

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10/√149
ale4655 [162]

/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192

first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625

5 0
3 years ago
Read 2 more answers
Factorise 5x + 40 <br> 7x - 49<br> 18x + 9<br> 15x - 10
Vera_Pavlovna [14]

<em><u>Factorization is:</u></em>

5x+40=5(x+8)\\\\7x-49=7(x-7)\\\\18x+9=9(2x+1)\\\\15x-10=5(3x-2)

<h3><u>Solution:</u></h3>

Given that we have to factor the given expressions

<h3><u>First expression:</u></h3>

5x + 40

We have to take the greatest common factor out

When we find all the factors of two or more numbers, and some factors are the same then the largest of those common factors is the Greatest Common Factor

Take G.C.F of 5 and 40

The factors of 5 are: 1, 5

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 5

Factor out 5 from given expression

5x + 40 = 5(x+8)

<h3><u>Second expression:</u></h3>

7x - 49

Similarly, take G.C.F of 7 and 49

The factors of 7 are: 1, 7

The factors of 49 are: 1, 7, 49

Then the greatest common factor is 7

Factor out 7 from given expression

7x - 49 = 7(x-7)

<h3><u>Third expression:</u></h3>

18x + 9

Similarly, take G.C.F of 18 and 9

The factors of 9 are: 1, 3, 9

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 9

Factor out 9 from given expression

18x + 9 = 9(2x+1)

<h3><u>Fourth expression:</u></h3>

15x - 10

Similarly, take G.C.F of 15 and 10

The factors of 10 are: 1, 2, 5, 10

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 5

Factor out 5 from given expression

15x-10 = 5(3x-2)

Thus factorization is found

3 0
4 years ago
What is the volume of a cylinder with base radius 3 and height 6?
kvasek [131]

Answer:

169.65

Step-by-step explanation:

volume= π(r^2)(h)

volume= π((3)^2)(6)

volume=169.65

the cubic units depend on the length units, is it centimeters, meters, etc

if the units are meters, for example, then the cubic units will be meters^3

4 0
3 years ago
Please help, I don't understand.. <br><br>Thanks!​
olga nikolaevna [1]

Answer:

$109.45

Step-by-step explanation:

On Monday in the morning you worked 4 hours, so plug in the equation.

12.50(4)= $50

On Monday in the afternoon you worked 4 hours and 45 min

12.50(4) = $50

Then do 12.50/60 to get .208 ≈ .21

So 45(.21) = $9.45

50 +50 + 9.45= 109.45

6 0
3 years ago
Evaluate 4-2f4−2f4, minus, 2, f when f=1f=1f, equals, 1.
forsale [732]

4 -2f4-2f4=?    -2(1)(4)-2(1)(4)= (-2)(4)-(2)(4)=  4-8=-4   I think that Is the answer I hope it is lol


3 0
3 years ago
Read 2 more answers
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