Ask question

Ask question

All categories

miss Akunina [59]

2 years ago

8

You need a 45% alcohol solution. On hand, you have a 350 mL of a 15% alcohol mixture. You also have 70% alcohol mixture. How muc

h of the 70% mixture will you need to add to obtain the desired solution?
You will need
_____ mL of the 70% solution

1 answer:

jarptica [38.1K]2 years ago

5 0

Answer:

420

Step-by-step explanation:

Amount in the 45% solution + amount in the 70% solution = amount in the 45% solution

0.15 × 350 + 0.70 × V = 0.45 × (350 + V)

52.5 + 0.70V = 157.5 + 0.45V

0.25V = 105

V = 420

You need 420 mL of the 70% solution.

You might be interested in

Identify the initial value and rate of change for the graph shown. (4 points)

fiasKO [112]

Answer:

k12

Step-by-step explanation:

6 0

1 year ago

You have to work on Distributive property 14(5+4)

lukranit [14]

126

explanation: solved it

3 0

2 years ago

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

6 0

2 years ago

Find the product please help me

timama [110]

Answer:

i thought i new that one but i dont sorry

Step-by-step explanation:

7 0

1 year ago

Gene made a two-digit code. The first digit is odd. How many possible codes can he choose from?

mylen [45]

Digit 1:1,3,5,7, or 9.
Digit 2: 0,1,2,3,4,5,6,7,8 or 9.
4*10= 40 possible codes.

4 0

2 years ago