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1 year ago

Determine if the table shows a proportional relationship.

Mathematics

1 answer:

swat321 year ago

7 0

The ratios of y over x are all equal to 1/3, thus we may infer that: B. the table is proportionate.

What is a Proportional Relationship?

Any pair of values in a table that depicts a proportionate relationship have the same value for the proportionality constant, k, where k = y/x.

Check each pair of values in the table to see if k is the same:

(36.75, 12.25):

k = 12.25/36.75 = 0.33

(16.8, 5.6):

k = 5.6/16.8 = 0.33

(77.1, 25.7):

k = 25.7/77.1 = 0.33

It is proportionate because the ratios of y across x are all equal to 1/3, which implies that the value of k is identical for all values.

Learn more about proportional relationship visit:

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What is the area of a sector with a central angle 210 and a diameter of 4.6

gizmo_the_mogwai [7]

Theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69

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Round 27.2847 to the nearest a. tenth and b. hundredth. SHOW YOUR WORK AND NO LINKS PLEASE, THANK YOU!

Finger [1]

Answer:

A. 27.3

B. 27.28

Step-by-step explanation:

You would have to round the tenth place up because of the 8 in the hundredths place, and for the hundredth place you would have to see if the thousandths place is higher than a 5 and if not don’t round up.

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Simplify 2a^2b^3(4a^2+3ab^2-ab)

-BARSIC- [3]

2a^2b^3(4a^2+3ab^2-ab)=?

is what I presume you actually meant. 

Pull out the common factors of (4a^2+3ab^2-ab) and you will get 

a(4a+3b^2 -b) 

Substitute this back into the original equation and you get

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3 years ago

You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups

Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = $\frac{3}{16}$

B adds 2 cups of citric acid for every 12 cups of water = $\frac{2}{12}$

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- 48

16 - 16, 32, 48, 64, 80, 96....

12 - 12, 24, 36, 48, 60, 72.......

For friend A - $\frac{3\times3}{16\times3} =\frac{9}{48}$

For friend B - $\frac{2\times4}{12\times4} =\frac{8}{48}$

We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and hence friend A's mixture is more acidic.

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shutvik [7]

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Step-by-step explanation:

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