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timurjin [86]
3 years ago
13

Which table shows a proportional relationship between a and b?

Mathematics
2 answers:
son4ous [18]3 years ago
8 0

Answer: option B is the correct answer.

Step-by-step explanation:

If two variables are proportional, a change in the value of one variable would cause a corresponding change in the value of the other variable. This means that both variables are related by a constant of proportionality, k.

Looking at the given tables,

For table A,

9/3 = 12/4 but not equal to 20/5

The relationship is not proportional.

For table B,

25/20 = 30/24 = 40/32 = 1.25

The relationship is proportional.

For table C,

12/4 = 15/5 but not equal to 24/6

The relationship is not proportional.

For table D,

4/3 = 16/12 but not equal to 9/6

The relationship is not proportional.

NARA [144]3 years ago
3 0

Answer:

B

Step-by-step explanation:

I first went through starting with A and took 3-9 (since it’s in the first box) I got -6 . You then divide 3 and 9 by -6 and report your answer.

I got 3/-6 = -.5 and And 9/-6 = -1.5

I then moved onto 4 and 12, I took the difference 4-12 and got -11.

4/-11 = -0.36 and 12 /-11 = -1.09

Since these answers are not the all the same I moved onto B

I took 20-25 = -5

20/-5 = -4 and 25/-5 = -5

Next numbers

24-30 = -6

24/6 = 4 and 30/6= 5

Next number

32-40= -8

32/-8 = -4

40/-8 = -5

( when putting this in fraction form it would be -4/-5 and that turns positive.) making this table proportioned unlike the other ones

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How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1
ElenaW [278]

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

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Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

7 0
3 years ago
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When taking skinfold measurement readings only one attempt per site is necessary for an accurate reading.a. Trueb. False
Eva8 [605]

Answer: False

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It is specifically taken from the right side of the body,where the person pinches out the Skinfolds away from the body by attaching a caliper ,this is to ensure that only the fatty laters are considered, it is mainly presented in percentage.

3 0
3 years ago
What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter
n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

Area = \frac{\alpha }{360} * \pi r^2

Where \alpha represents the central angle and r represents the radius

By substituting \alpha = 120 and r = 3

Area = \frac{\alpha }{360} * \pi r^2 becomes

Area = \frac{120}{360} * \pi * 3^2

Area = \frac{1}{3} * \pi * 9

Area = \pi * 3

Area = 3\pi square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for \pi

So, Area = 3\pi becomes

Area = 3 * 3.14

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Hence, the area of the sector in the attached figure is 3\pi or 9.42 square units

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3 years ago
Evaluate the expression when x=7 and y=-3. 5y2-x
DIA [1.3K]

Answer:

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Step-by-step explanation:

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cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit.  This means they want to make back the 12000 plus 32% of that.  what is 32% of 12000?  just multiply 12000 bty .32  In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus.  So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined.  I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that.  to find that just do the multiplication .065 * 15840 = 1029.60.  So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount.  This changes the sales price (by 10%) and the bonus they earn.  let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction.  so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

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