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3 years ago

10. Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1

Mathematics

1 answer:

pogonyaev3 years ago

6 0

Answer:

y = 6

Step-by-step explanation:

We need to interpret the question

y varies directly as x

y varies x

To equate it, we need to add a constant K

y = K/x

Using the information we are provided with

y = 9

x = 3/2

insert into

y = Kx

9 = K * 3/2

9 = 3K/ 2

3K = 9 *2

3k = 18

To get K, divide through by 3

3K/3 = 18/3

K = 6

Since we've gotten our K = 6

y = Kx

Using the new information

y = ?

x = 1

K = 6

y = 6* 1

y = 6

The new y = 6 , x =1

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8 0

2 years ago

A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ?

Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

$area = l \times w \\ = 21 \times 15 \\ = 315 {ft}^{2} \\ \\$

So now We need to convert it to yards square

$315ft^{2} \times \frac{ {1yd}^{2} }{ {9ft}^{2} } \\ \\ = \cancel{315ft^{2}} \: ^{35} \times \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }} \\ \\ = 35 {yd}^{2}$

So how this 9 ft^2 came??

Let's know

$ft \to \: yards \\ \\ 3ft = 1yd \\ \\ {3ft}^{2} = {1yd}^{2} \\ \\ \boxed{ {9ft}^{2} = {1yd}^{2}}$

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>

8 0

2 years ago

Read 2 more answers

In the figure, what is the value of z?<br><br><br> 2.9<br> 5.6<br> 6<br> 8.75

myrzilka [38]

The value of z would be 5.6

7 0

3 years ago

Find an equation of the line that is perpendicular to 9x + 5y = - 1. Write your answer in the form y = mx + b.

Alchen [17]

Answer:

Step-by-step explanation:

move x to the right making the equation 5y=-9x-1 then divide both sides by 5 to get y= -9/5x-1/5. the slope of a perpendicular line is the opposite reciprocal of the slope from the og eq. so the slope of the new line is 5/9x and the y-intercept stays the same so the equation should be y=5/9x-1/5

5 0

3 years ago

5. Last year, Dan and Paula regularly invested $25/week in a mutual fund account. This

kozerog [31]

Answer:

They invested total $2730 over the past two years.

Step-by-step explanation:

Consider the provided information.

Dan and Paula regularly invested $25/week in a mutual fund account.

There are 52 weeks in a year.

Total money they invested in a mutual fund in first year.

$25×52 = $1300

They increased their weekly investment by 10 percent.

First find the 10% or 25.

$\$25\times \frac{10}{100}=\$2.5$

That means they invest $25+$2.5 = $27.5

They invest $27.5/week in next year.

Total money they invested in a mutual fund in second year.

$27.5×52 = $1430

Hence the total money they invested in the account over the past two year is:

$1300+$1430=$2730

Hence, they invested total $2730 over the past two years.

8 0

3 years ago