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3 years ago

10 points of 15% salt saluting are mixed with 15 points of 10% salt. What is the concentration of saluting?+

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Answer:

12%

Step-by-step explanation:

First, find how much salt is in each solution by multiplying the total amount by the percent of salt:

10(0.15)

= 1.5

15(0.1)

= 1.5

Added together, there are 3 pints of salt. There is a total of 25 pints, since 10 pints and 15 pints were mixed.

Find the concentration of salt by dividing 3 by 25

3/25

= 0.12

So, the concentration of salt in the solution is 12%

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Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!

kvasek [131]

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin( $\frac{x+y}{2}$ )sin( $\frac{x-y}{2}$ ) = 2sin( $\frac{x+y}{2}$ )sin( $\frac{y-x}{2}$ )

cos x + cos y = 2cos( $\frac{x+y}{2}$ )cos( $\frac{x-y}{2}$ )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

$\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }$ ← cancel 2 from numerator/ denominator

= $\frac{sin45}{cos45}$ × $\frac{sin35}{cos35}$

= tan45° × tan35° { tan45° = 1 ]

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5 0

3 years ago

Read 2 more answers

Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assum

Alecsey [184]

Answer:

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

Step-by-step explanation:

$\log_5(\frac{9\sqrt{x}}{y^3})$

First rule I'm going to use is the quotient rule:

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$\log_5(9\sqrt{x})-\log_5(y^3)$

Secondly, I'm going to rewrite the radical.

$\sqrt{x}=x^\frac{1}{2}$

$\log_5(9x^\frac{1}{2})-\log_5(y^3)$

Third, I'm going to use the product rule on the first term:

$\log_b(mn)=\log_b(m)+\log_b(n)$

$\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)$

Fourth, I'm going to use power rule for both of the last two terms:

$\log_b(m^r)=r\log_b(m)$

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

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3 years ago

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irakobra [83]

Answer:

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3 years ago

What is the greatest common factor of 7, 4, and 39?

ahrayia [7]

Answer:

Step-by-step explanation:

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2 years ago

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a buret is a tool designed to transfer precise amounts of liquid .A buret initially contains 70.00 millimeters of a solution and

katrin [286]

Let:

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Vbk= Volume of the beaker

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1 year ago