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3 years ago

PLEASE HELP ME......

1 answer:

5 0

First write a equation 36-12x= 0
Then plug in numbers to x starting with 0
(0,36)
(1,24)
( 2,12)
(3,0)
There you go your plots on the grid

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I need help with this word problem it’s urgent please help.

harkovskaia [24]

Starting with some solution of volume v and an alcohol concentration of 100c % , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + v.

Each mL of the starting solution contains c mL of alcohol. For example, if the concentration of the starting solution is 80% (so c = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

cv + 0.45 (180 mL) = 0.7 (180 mL + v)

and you want to solve for v :

cv + 81 mL = 126 mL + 0.7v

cv - 0.7v = 126 mL - 81 mL

(c - 0.7) v = 45 mL

v = (45 mL) / (c - 0.7)

Judging by context clues, c lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, c = 0.8, so that your starting solution is at 80% concentration, then you would need

v = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that c = 1, you would need

v = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

3 0

3 years ago

Help ASAP ASAP plz...

ruslelena [56]

Answer:

i cant see it .

Step-by-step expect me how do expect me to help you .

3 0

3 years ago

Need a word problem for -1/2 x 12

serg [7]

One half times twelve

3 0

3 years ago

Find the sum. (8x2 + 17x) + 6x2 =

Molodets [167]

16 + 17x + 12
17x + 28

6 0

3 years ago

This figure is made up of a rectangle and parallelogram.

ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = $\sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}$

, i.e. AD = $\sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}$

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = $\sqrt{[x'' - x']^{2} - [y'' - y']^{2}}$

, i.e. AB = $\sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}$

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0

3 years ago