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3 years ago

How many milliliters of a 5% bleach solution must be mixed with a 10% bleach solution to produce 900 mL of a 7% bleach solution

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

Step-by-step explanation:

If we use x ml of 2% bleach, then we use (600-x) ml of 20% solution.

Looking at the bleach concentrations:

.02x + .20(600-x) = .05(600)

Multiply through by 100 to clear the decimals

2x + 20(600-x) = 5(600)

2x + 12000 - 20x = 3000

-18x = 3000 - 12000

-18x = -9000

x = 500 ml of 2% bleach

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,

Kazeer [188]

Answer: 2.66 × 10⁻¹³

Step-by-step explanation:

First, use the decay formula $A=A_oe^{kt}$ where

A is the final amount (amount left)
A₀ is the initial amount (amount you started with)
k is the rate of decay (you need to solve for this)
t is the time

Given:

A = 1/2(300) = 150
A₀ = 300
k = unknown
t = 28.8

$150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\$

Next, input the k-value and the new t-value to solve for A.

A = unknown
A₀ = 300
k = -0.0240676
t = 1440

$A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\$

5 0

3 years ago

HELP! Find the missing value for the exponential function represented by the table below.

Mekhanik [1.2K]

B is your answer if you need me to explain why just ask me :) have a good day

3 0

3 years ago

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What is the mean of the following list of numbers?

Elina [12.6K]

The Mean is 11.5

Hope this helps

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3 years ago

Simplify. 16 - 8 + 5x - 3x 16 + 2x 8 + 8x 8 + 2x 10x

klio [65]

Answer:

8+2x

Step-by-step explanation:

Combine Like Terms:

16-8+5x-3x

8+5x-3x

8+2x

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2 years ago

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Solve.

bixtya [17]

Answer:

$-3 ± 2\sqrt{3} = x$

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the Quadratic Formula:

$x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}$

$-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} = -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}$

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

7 0

2 years ago