If y varies inversely as x and y=37 when x=33, find y if x=5

To reduce 16 ounces of a 25% solution of antiseptic to a 10% solution, how much distilled water should a nurse add?

yan [13]

Answer:

24 ounces

Step-by-step explanation:

Here's a more intuitive approach to use here.

You know that your initial solution has a percent concentration, presumably volume by volume, of

25

%

. This means that any volume of this solution contains

1

part solute and

3

parts solvent.

The target solution must have a concentration of

10

%

, which means that any volume of this solution will contain

1

part of solute and

9

parts solvent.

Your starting solution has a volume of

16

ounces, or

4

parts, each with a volume of

4

ounces.

In order to get to a solution that has a total of

10

parts, you must add

6

parts of solvent to the initial solution. Since we know that

1 part

=

4 ounces

it follows that you must add

6

parts

⋅

4 ounces

1

part solvent

=

24 ounces

of distilled water, which is your solvent, to the initial solution.

The target solution will contain

1

part solute and

9

parts distilled water for a total of

10

parts of solution, and hence have a percent concentration of

10

%

.

7 0

3 years ago

A triangle has the dimensions shown. The perimeter of

exis [7]

Answer:

A. linear expression

Step-by-step explanation:

Just got it right on the test.

4 0

3 years ago

Read 2 more answers

PLS HELP LOOK AT PIC

zepelin [54]

31 trust In me I learned this last week

7 0

3 years ago

X² - 5x + 6 = 0 (R: 2, 3)

Firlakuza [10]

I'm sending you two screenshots of the explanation I hope this helps.

4 0

3 years ago

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Vesnalui [34]

Answer:

Rate of change for the linear relationship modeled is $\dfrac{-1}{2}$

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Putting the points as (-1, 10) and (1, 9), we get

$m=\dfrac{9-10}{1-(-1)}$

$=\dfrac{9-10}{1+1}$

$=\dfrac{-1}{2}$

Rate of change is the slope of the line joining all these points.

7 0

3 years ago

Read 2 more answers