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3 years ago

Find the variation constant and an equation of variation for the given situation.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

6 0

Answer:

$\displaystyle y=14\cdot x$

Step-by-step explanation:

<u>Directly Proportion</u>

It's said that y varies directly proportional as x, if:

$y=k\cdot x$

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

$\displaystyle 7=k\cdot \frac{1}{2}$

Solving for k:

k=14

Thus, the equation is:

$\boxed{\displaystyle y=14\cdot x}$

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2n-3 sequence 1st term

Alexandra [31]

First term = 2(1) - 3 = 2 - 3 = -1

8 0

3 years ago

Write a division problem that will have a 2 digit quotient and another division problem that will have a 3 digit quotient. Expla

o-na [289]

Answer:

$\frac{240}{4} =60$

$\frac{1800}{3} =600$

Step-by-step explanation:

1. The result should by a 2 digit number.

So, I fix a two digit number first, say 60.

Then, I multiplied it by some random integer, say 4 and got 240.

Now, 240 is my dividend and 4 is my divisor.

My division problem is:

$\frac{240}{4} =60$

2. The result should be a 3 digit number.

So, I fix a three digit number first, say 600.

Then, I multiplied it by some random integer, say 3 and got 1800.

Now, 1800 is my dividend and 3 is my divisor.

My division problem is:

$\frac{1800}{3} =600$

6 0

3 years ago

Read 2 more answers

SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a pro

Sophie [7]

In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6 others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

=24

Proportionate Stratified Sample of Blacks and Others

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

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6 0

1 year ago

Pretty simple question but im stupid and need assistance

malfutka [58]

the second one I think don't get mad if it is wrong please

4 0

3 years ago

Anybody know how to do this? I need Help Now!!!!!

gogolik [260]

Hi there!

The answer is
$x \leqslant - 5$

We have the following inequality.
$- 6x \geqslant 30$

We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.

$x \leqslant 30 \div - 6$
$x \leqslant - 5$

6 0

3 years ago