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AlekseyPX
3 years ago
11

Given the list of x's and y's what is the constant of proportionality. X- 5, 6, 7, 8, 9 Y- 30, 36, 42, 48, 54

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

Constant of proportionality(X:Y) = 1:6

Step-by-step explanation:

Given:

X- 5, 6, 7, 8, 9

Y- 30, 36, 42, 48, 54

Find:

Constant of proportionality

Computation:

X/Y = 5/30 = 6/36 = 7/42 = 8/48 = 9/54

X/Y = 1/6 = 1/6 = 1/6 = 1/6 = 1/6

So;

Constant of proportionality(X:Y) = 1:6

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mel-nik [20]

Answer: x= 2.5, y = 10

Step-by-step explanation:

<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>

If they're proportional, you can set up two proportions:

1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}

And cross-multiply:

1) 6x = 5*3 \\\\2) 3y = 5*6

Then solved for x and y:

1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10

5 0
3 years ago
Nicole has used 6 feet of ribbon.This represents 3/8 of the total amount of the ribbon she started with. How much ribbon did Nic
GalinKa [24]
3/8x=6. x=6*8/3. x=2*8. x=16. Nicole started with 16 feet of string.
5 0
3 years ago
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could
White raven [17]

Answer:

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

7 0
2 years ago
Read 2 more answers
I need help knowing how to do the problem
Vlad1618 [11]
Volume of a cone = pi * r² * (h/3)

If your diameter is 2, then take half of that for the radius; your radius is 1

Now plug in your given info:

V = pi * (1)² * (7/3)
= pi * 1 * (7/3)
= 7pi / 3

V ≈ 7.3304

Your answer is option D. 
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