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3 years ago

This table represents a proportional relationship. Find the constant of proportionality.

Mathematics

2 answers:

Pavel [41]3 years ago

7 0

Answer:

1. 4

2. y = 4x

Step-by-step explanation:

Divide any y value by its corresponding x value to find the constant of proportionality.

8/2 = 4

Constant of proportionality: 4

Equation of proportional relation:

y = kx, where k is the constant of proportionality.

y = 4x

stich3 [128]3 years ago

5 0

Answer:

1. 4

2. y = 4x

Step-by-step explanation:

Divide any y value by its corresponding x value to find the constant of proportionality.

8/2 = 4

Constant of proportionality: 4

Equation of proportional relation:

y = kx, where k is the constant of proportionality.

y = 4

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Step-by-step explanation:

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2 years ago

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A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

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

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

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3 years ago

Mr. Dalton only buys two brands of snack bars for his kids: Grateful Grain and Granola Delight. Last week at the store, he bough

kogti [31]

Grateful grain would be reasonable

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2 years ago

If it’s costs 60 cents for 125 grammes. How much would 100 grammes cost?

beks73 [17]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Work out the cost per gram

60/125 = 0.48

It costs 0.48 cents per gram

Multiply this by 100 to get the answer:

0.48 x 100 = 48

It would cost 48 cents

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago

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The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answ

salantis [7]

Answer:

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Step-by-step explanation:

Both tables show a function value of 9 for x = -1.

x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).

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2 years ago