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laila [671]
3 years ago
5

Which table represents a proportional relationship?

Mathematics
1 answer:
Lena [83]3 years ago
4 0

9514 1404 393

Answer:

  C)

Step-by-step explanation:

The table that has a constant ratio between y and x values is the one that represents a proportional relationship.

A) 2/4 ≠ 4/16

B) 1/1 ≠ 4/16

C) 6/8 = 12/16 = 18/24 = 30/40, a proportional relationship

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densk [106]

We know:

\tan\Theta=\dfrac{\sin\Theta}{\cos\Theta}

We have:

\sin\Theta=\dfrac{\sqrt3}{2},\ \cos\Theta=\dfrac{1}{2}

Substitute:

\tan\Theta=\dfrac{\frac{\sqrt3}{2}}{\frac{1}{2}}=\dfrac{\sqrt3}{2}:\dfrac{1}{2}=\dfrac{\sqrt3}{2}\cdot\dfrac{2}{1}=\sqrt3

Answer: a. √3

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3 years ago
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Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the am
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Answer:

c. $75.37

Step-by-step explanation:

Gross pay of Martha = $ 1,215.60

Percentage of Social Security Tax = 6.2%

In order to find the amount of Social Security Tax we need to find out what is 6.2% of $ 1,215.60

6.2% in decimal form will be 0.062

So,

6.2% of $ 1,215.60 = 0.062 x 1,215.60

= $ 75.37

This means, the amount of Social Security Tax is $ 75.37. Therefore, option C gives the correct answer.

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3 years ago
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Mary deposits $400 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the
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Answer:

$16

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.

Simple Interest = P x r x n

where P = Principal amount, r = Annual interest rate, n = Term of loan, in years​

2% = 2 ÷ 100 = 0.02  so r = 0.02

Therefore,  

Simple Interest = 400 x 0.02 x 2 = 16

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3 years ago
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The time, t, required to travel a fixed distance varies inversely as the
Lemur [1.5K]

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

Thus you must travel at 42 mph for 4 hours

4 0
3 years ago
Which fraction is equal to 0.54
ss7ja [257]
<span>Step 1: 0.54 = 54⁄100</span> 
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