A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 120 gal of a solution of 4% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 6% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?

Answer:

Your final answer is $528.92

Step-by-step explanation:

[tex]499 + 8\% = 538.92[/tex]

[tex]538.92 - 10 = 528.92[/tex]

Answer:

$519.6048

Step-by-step explanation:

Cost of subscription is $499 + 8% tax for 30 days

Cost of subscription for 30 days = $499

Cost of subscription for 1 days = [tex]\frac{499}{30}[/tex]

So, Cost for (30-7 = 23)days = [tex]\frac{499}{30} \times 23 [/tex]

                                               = [tex]382.56[/tex]

Cost of subscription for 23 days  = [tex]382.56[/tex]

Sale tax = 8 %

Sales Tax =  [tex]30.6048[/tex]

Cost of subscription = $499+$30.6048 = $529.6048

There is an off of $10

So, Final cost = $529.6048-$10=  $519.6048

Hence The final cost is $519.6048

Answer:

Explanation with the help of discrete variables and continuous variables.

Step-by-step explanation:

We have to tell that which of the following can be an exact number.

This can be done with the approach of discrete and continuous variables.

Discrete variables are the variables that are countable and cannot be expressed in decimal form. They are point estimated.

Continuous variable are the variable that are estimated with the help of an interval. Their values can be expressed with the help of a decimal expansion. They are not countable.

a) Mass of a paper clip, Surface are of dime, Inches in a mile, Ounces in pound, microseconds in a week

Since all mass, area, weight(ounces), time, length(inches) are continuous variable, they can be estimated with the help of an interval. Thus, they can have exact number but not always.

b) Number of pages in a worksheet

Since this is a discrete quantity and it is countable. Thus, it will always have a point estimation and are exact numbers always.

Answer:

m∠HFG=16°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In this problem

m∠HFG+m∠GHF+m∠HGF=180°

we have

m∠GHF=92°

m∠HGF=72°

substitute the given values and solve for m∠HFG

m∠HFG+92°+72°=180°

m∠HFG+164°=180°

m∠HFG=180°-164°

m∠HFG=16°

Answer:

6 packs, 9 packs

Step-by-step explanation:

The ratio of mechanical pencil to free eraser is 2:4, or 1:2.

So that means, for every free eraser you get, you bought the double amount of pencils.

12 free erasers x 2 = 24 pencils

18 free erasers x 2 = 36 pencils

And a pack of pencils contains 4.

24/4 = 6 packs

36/4 = 9 packs

Answer:

6 packs and 9 packs

Step-by-step explanation:

Answer:

Step-by-step explanation:

The conversion factor cancels units of miles and leaves units of km.

  [tex]\dfrac{18\,mi}{h}\cdot\dfrac{1.609344\,km}{1\,mi}=\dfrac{28.968192\,km}{h}[/tex]

The speed rounds to 29 km/h.

Multiplying the distance per hour by the number of hours, we find the distance to be ...

  (28.968192 km/h)×(2 h) = 57.936384 km ≈ 57.94 km

Answer:

Step-by-step explanation:

"Of" means "times"; "is" means "=". Write the English expression as a math expression and solve for "what".

  14 = 38% × what

  14/0.38 = what ≈ 36.84 . . . . . . divide by the coefficient of "what"

14 is 38% of 36.84

__

  92% × what = 110

  what = 110/0.92 ≈ 119.57 . . . . . divide by the coefficient of "what"

92% of 119.57 is 110.

90 + x + 107 + 144 + 138 = 540

479 + x = 540

x = 540 - 479

x = 61

Answer:

x=61°

Step-by-step explanation:

There are 5 sides in a polygon.

Sum of interior angles = (n-2) times 180

[tex](5-2) \cdot 180=540[/tex]

The sum of interior angles in a polygon is 540 degree

Now add all the interior angles and set it to 540

Right angle is 90 degree

[tex]90+x+138+144+107= 540[/tex]

[tex]479+x= 540[/tex]

Subtract 479 from both sides

[tex]x=61[/tex]

Answer:

The answer to your question is 25%

Step-by-step explanation:

Data

Initial price = $2.00

Final price = $2.50

First we subtract the final price to the inicial price

              increment = 2.50 - 2.00

                                = $0.50    It's the amount that the school increases to the community members

            Now we use a rule of three to find the percent

                 $2.00 ----------------------  100%

                 $0.50  ---------------------    x

x = 0.50 x 100/2 = 50/2 = 25%          

True. It is linear because it forms a straight line.

Answer:

Step-by-step explanation:

It is a straight line, which is always linear.

PLEASE MARK BRAINLIEST

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

The only 4th-quadrant answer choice is (5, -2).

The best option is A: They are a close approximation of the actual value of what is being measured.

Significant figures, also known as significant digits, are a set of rules used to determine the precision or accuracy of a measured or calculated value. They indicate the reliability of the digits in a number and help communicate the level of certainty associated with a measurement or calculation.

The correct definition of significant figures is:

A. They are a close approximation of the actual value of what is being measured.

Significant figures represent the digits in a number that contribute to its precision. They include all the known digits in a measurement, as well as one estimated digit. The estimated digit is the least certain or the first uncertain digit in the measurement. The number of significant figures reflects the level of confidence in the measurement and helps convey the precision of the value.

Option B ("They are all known digits in a measurement") is incorrect because significant figures include both known digits and one estimated digit.

Option C ("The limit of a measurement") is incorrect because significant figures do not define a limit but rather represent the precision of the measurement.

Option D ("The gauge of the accuracy of a measurement") is partially correct, as significant figures can provide an indication of the accuracy, but they primarily convey the precision or reliability of the measurement rather than the overall accuracy.

for such more question on Significant figures

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The equation would be [tex]6c + 10f[/tex].

The expression which represents the total cost of all of the pizzas they order is 6c + 10f.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of cheese pizza = $6

Cost of four-topping pizzas = $10

Number of cheese pizza order = c

Number of four-topping pizzas order = f

Hence,

Total cost cheese pizza = Cost of cheese pizza*Number of cheese pizza order

⇒Total cost cheese pizza = 6*c = 6c

Similarly,

Total cost of four-topping pizzas = Cost of four-topping pizzas*Number of four-topping pizzas order

⇒Total cost of four-topping pizzas = 10*f = 10f

Hence, total cost of all of the pizzas they order

                    = Total cost cheese pizza + Total cost of four-topping pizzas

⇒ total cost of all of the pizzas they order = 6c + 10f    

Hence,The expression which represents the total cost of all of the pizzas they order is 6c + 10f.

To learn more about total cost:

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You would set up a ratio for the two known sides to equal the known side and x:

8/2 = 18/x

Cross multiply:

(2 * 18) = (8 * x)

Simplify:

36 = 8x

Solve for x by dividing both sides by 8:

x = 36/8

x = 4.5

To simplify the expression (-2)(-3)^2 - 2(2 - 5), you perform the calculations step by step. The final result is -12.

To simplify the expression (-2)(-3)^2 - 2(2 - 5), we perform the calculations step by step:

Therefore, the simplified expression is -12.

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D 1000 X .15 = 150.

.15 = 15%

Answer:

D) $150.

Step-by-step explanation:

Gerry is looking to buy a new car and finds one she likes for $1000. It means 100% corresponds to $1000.

There is 15% off. It means, she can save 15% of the total value of the car. We need to calcualte the amount of money that she can save taking the 15% off (O)

O = $1000 * (15%)

O = $1000*(15/100)

O = $1000*(0.15)

O = $150.

100% corrsponds to $1000, and 15% corresponds to $150.If she takes 15% off, we can conclude that she can save $150.

Finally, the answer is D) $150. 

Answer:

  A)  31

Step-by-step explanation:

The difference of low-end values for successive classes is 31. This is the class width.

[tex]\mathbb{ANSWER:}[/tex]

Refer to the attachment for the answer.

Answer:

w(4 + w) = 12 is the correct answer.

Step-by-step explanation:

You have to think that area is lenght x widht, so the first and second options musn't be correct. (you have + and -)

The last one, it isn't correct because, you have width but don't have lenght.

Length is not 4.

Answer:

The correct answer is D

Multiply by 1000 and divide by 3600

Step-by-step explanation:

We know that in 1 km we have 1000 m and in 1 h we have 60 minutes and each minute have 60 seconds, then we multiply 60*60 to know how many seconds are in an hour and we have that 1 h have 3600 s. Using a conversion factor we have:

[tex]\frac{km}{h}(\frac{1000 m}{1km})(\frac{1h}{3600s})[/tex]

With this we can see that to convert a quantity from kn/h to m/s we must multiply by 1000 and divide by 36000

To convert from kilometers per hour to meters per second, you should multiply by 1000 (to convert kilometers to meters) and then divide by 3600 (to convert hours to seconds). An example with a speed of 50 km/h would result in approximately 13.9 m/s after conversion.

To convert a quantity from kilometers per hour (km/h) to meters per second (m/s), the correct approach is (a) multiply by 1000 and then divide by 3600. This is because 1 km is equal to 1000 meters, and 1 hour is equal to 3600 seconds. Therefore, to change the unit from km/h to m/s, you need to perform these conversion operations.

Let's consider an example. If you have a speed of 50 km/h and want to convert it into m/s, here's the step-by-step process:

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Answer:

  (5.5, -13.5)

Step-by-step explanation:

Midpoint M satisfies ...

  M = (S +T)/2

So ...

  2M = S + T

  2M -T = S

  2(5, -8) -(4.5, -2.5) = S = (10 -4.5, -16 +2.5)

  S = (5.5, -13.5)

Answer:

   3

Hope this helps! .. Do you need an explaination?

Answer:

3

Step-by-step explanation:

because I said

The Owens Industries should credit $850 to their Assets, denoted by A and debit the sum of $850 to the Stockholder's Equity, denoted by SE.

In the question,

As the Owens industries is trying to increase its profile.

Cost of sponsorship = $850

To maintain the profile he can, by using the transaction accounting balance equation,

A = L + SE

The Owens Industries should credit $850 to their Assets, denoted by A and debit the sum of $850 to the Stockholder's Equity, denoted by SE.

That is,

$850 = L + $850

L = 0

This is how the accounting equation can be balanced.

Answer:

Step-by-step explanation:

To solve this, we need to remember that when you multiplicate two roots you can multiply the numbers inside the two roots and put them inside just one root.

So in this case we have ∛5ab² ·∛25ab

We are going to multiply the numbers inside the roots and we get

∛5ab²·25ab = ∛75a²b³

But 75 = 5³ so we have

∛75a²b³ = ∛5³a²b³

Since we have powers of 3 inside the root, we can take them outside the root with the exponent divided by 3.

∛5³a²b³ = 5b∛a²

Thus, the correct answer is a) 5b∛a²

Answer:

Option B. $0.70

Step-by-step explanation:

First day fine = $0.10

Second day fine (doubled or $0.30 which is lesser)

= $0.10 + $0.10           [$0.10 is lesser than $0.30]

= $0.20

Third day fine = $0.20 + $0.20           [ $0.20 is lesser than $0.30]

                      = $0.40

Fourth day fine = $0.40 + $0.30  = $0.70

[$0.30 is cheaper than doubling the amount $0.40 + $0.40]

Therefore, the total fine for a book on the fourth day is $0.70

Answer: 156.7

Step-by-step explanation:

1.35x84= 113.4

270-113.4=156.60

Answer:

B

Step-by-step explanation:

1.35 x 84 = $113.40

270 - 113.40 =  $156. 60

156.60 / 1.35 = 116 boxes

Answer:

total management fee is $16200

Step-by-step explanation:

given data

leases = $60000 per year

time = 7 year

fees 1st year = 7%

fees 2nd and 3rd year = 5%

fees remaining year = 3%

to find out

total management fee

solution

we find here commission for each here

for 1st year = 7% of $60000 = $4200   ............1

for 2nd and 3rd  year = 5% of $60000 = $3000   ............2

for remaining year = 3% of $60000 = $1800   ................3

and that is 4 year so fees = 1800 × 4 = $7200   ................4

now add all these to get total

total fees = 4200 + 3000 + 1800 + 7200

total fees = 16200

so total management fee is $16200

Sydney Blackwell's total management fee for a 7-year period, with varying annual rates applied to a $60,000 lease, amounts to $17,400.

Calculating Sydney's Total Management Fee

To calculate Sydney Blackwell's total management fee for managing an office building, we need to apply the corresponding percentage rates to the annual lease amount over the span of the management agreement. The lease amount is $60,000 per year, and the management agreement spans 7 years with varying fees each year.

Here's the breakdown of fees per year and total fee calculation:

Adding up the fees from all years:

$4,200 + $6,000 + $7,200 = $17,400

Therefore, the total management fee Sydney will receive over the 7-year period is $17,400.

Answer with Step-by-step explanation:

Let x be the angle

We have to show that when the measure of an angle is added to three times the angle's complement , the result is equal to the sum of the angle;s complement and the angle' s supplement.

Angle's complement =90-x

(by definition of complementary angles)

Therefore, the angle's supplement=180-x  ( By definition of supplement angles )

According to question

[tex]x+3(90-x)=270-2x[/tex]

[tex]90-x+180-x=270-2x[/tex]

Hence, when the measure of an angle is added to three times the angle's complement , the result is equal to the sum of the angle's supplement.

Hence, proved

Answer:

  1196 mi

Step-by-step explanation:

The latitude difference is 17°18', so is about 0.301942 radians. Then the arc length is ...

  s = r·θ = (3960 mi)(0.301942) ≈ 1196 mi

The distance between City A and City B, given their latitudes and the radius of the Earth, is found using the arc length formula (length = radius x angle in radians) to be approximately 2011 miles.

The subject of this question is Geography and it entails finding the distance between two cities located at different latitudes on Earth. The difference between the two latitudes is used to find the distance. Since the Earth is a sphere, we can use the formula for the length of an arc to find the distance between these two cities. To do so, subtract the latitude of City B (19 degrees 44 prime) from the latitude of City A (37 degrees 2 prime) to get the difference in degrees which is equal to 17 degrees 18 prime. Convert this to decimal form by dividing the prime by 60 (17 + 18/60 = approx. 17.3 degrees).

Then use the formula for the length of an arc: length = radius x angle (in radians). The radius of the Earth is given as 3960 miles and the angle in radians is obtained by multiplying the angle in degrees by π/180. Therefore, the distance is 3960 miles x 17.3 x π/180 = approximately 2011 miles. As such, City A and City B are estimated to be about 2011 miles apart.

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Answer:

Security B is riskier than Security A.

Step-by-step explanation:

Security A and B have the same historical average annual return which is 7%, meaning that both of them have had the same results over the years.

However, the standard deviation of A is 3% and the standard deviation of B is 9%, therefore we can conclude that Security A is safer than Security B because a low standard deviation indicates that the annual returns tend to be close to the average (mean), while a high standard deviation indicates that the annual returns are spread out over a wider range of values.

For example:

Security A has this values over the years:

6, 7, 8, 7 where mean is 7.

Security B has this values over the years:

1, 13, 4, 12 where the mean is also 7.

But, A has a lower standard deviation and B a higher one, therefore, Security B is riskier.

Answer:

The answer to your question is:

a)

8.23 x 10 ⁵

3.19 x 10⁸

b)

387.6 ≈ 388 times

Step-by-step explanation:

Columbus, Ohio population = 823, 000

United states population = 319 million

a)

        823 000 = 8.23 x 10 ⁵         move the decimal point 5 places to the left

 319 000 000  = 3.19 x 10⁸         move the decimal point 8 places to the left

b)

To find the answer, just divide the USA population by the Columbus, Ohio population

       3.19 x 10⁸ / 8.23 x 10 ⁵ = 387.6 ≈ 388 times

Final answer:

a) The population of Columbus, Ohio in scientific notation is 8.23 × 10⁵ and that of the United States is 3.19 × 10⁸.  and b) the US population is 388 times larger as compared to Columbus.

Explanation:

a)The population of Columbus, Ohio, in 2014 was about 823,000. This can be written in scientific notation as 8.23 × 10⁵.

The population of the United States in 2014 was about 319 million. In scientific notation, this is 3.19 × 10⁸.

b) To determine how many times larger the population of the United States was than the population of Columbus, Ohio, we divide the population of the United States by that of Columbus:

3.19 × 10⁸ / 8.23 × 10⁵ = 387.605 approx 388 times larger

Therefore, the population of the United States was about 388 times larger than the population of Columbus, Ohio in 2014.