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3 years ago

5l of 70% alcohol solution was mixed with 9l of pure water what is the concentration of the mixture

Mathematics

1 answer:

ElenaW [278]3 years ago

6 0

The new mixture has a total volume of 5 L + 9 L = 14 L.

70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is

3.5 L / 14 L = 0.25, or 25%

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olasank [31]

Given the fraction 5/12 and 9/16, the least common denominator can be get by giving the possible common multiples of 12 and 16.

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
16 = 16, 32, 48, 64, 80, 96, 112, 128, ...

So looking above, the common are 48 and 86 but the smallest is 48.
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3 years ago

Please help urgent!!

USPshnik [31]

Answer:

$Q M \cong R M \Rightarrow$ definition of midpoint

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence

$\Delta P Q M \cong \Delta P R M \Rightarrow$ SSS congruence postulate

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.

$\overline{Q M} \cong \overline{R M} \Rightarrow$ definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

$\Delta P Q M \cong \Delta P R M \Rightarrow$ SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem.

3 0

3 years ago

3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 8

OLEGan [10]

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

Solution,

At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

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3 years ago

Use the diagram shown.

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

8 0

3 years ago

Wanda opened a savings account 20 years ago with a deposit of $3,150.37. The account has an interest rate of 4.1% compounded dai

Aleksandr [31]

$\bf ~~~~~~ \stackrel{daily}{\textit{Continuously Compounding Interest Earned Amount}}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3150.37\\
r=rate\to 4.1\%\to \frac{4.1}{100}\to &0.041\\
t=years\to &20
\end{cases}
\\\\\\
A=3150.37e^{0.041\cdot 20}\implies A=3150.37e^{0.82}\implies A\approx 7152.91457$

how much interest is there? well, A - 3150.37.

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3 years ago