72 is how many times greater than 9 ?

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

16.

Step-by-step explanation:

The greatest common factor of 6s³t⁴ + 12s⁴t² - 15s²t³ is 3s²t², and the factored expression is 3s²t²(2st² + 4s² - 5t).

The greatest positive integer that divides two or more numbers without leaving a residual is known as the greatest common factor (GCF). In other words, the greatest number that is a factor of both (or all) of the specified numbers is chosen.

To identify the greatest common factor of 6s³t⁴ + 12s⁴t² - 15s²t³, we need to look for the largest expression that divides evenly into each term.

First, we can factor out the greatest common factor of the coefficients, which is 3: 3(2s³t⁴ + 4s⁴t² - 5s²t³)

Next, we can look for the greatest common factor of the variables. We can see that s²t² divides into each term: 3s²t²(2st² + 4s² - 5t)

Therefore, the greatest common factor of 6s³t⁴ + 12s⁴t² - 15s²t³ is 3s²t², and the factored expression is 3s²t²(2st² + 4s² - 5t).

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To factor the expression, we need to identify any common factors that can be pulled out of the terms.

The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.

Therefore, the expression can be factored as:

(-6g²rs²t)(g²r + 9²₂²) + 5422

This is the fully factored form of the expression.


????

Answer:

she get 22 percent 22/40 is 40 she is bad XD

The change in the optimal objective function value per unit increase in the right-hand side of a constraint is Shadow price .

What does "shadow pricing" mean?

An estimated price for something that is not typically valued or offered for sale in the market is known as a "shadow price."

                          Businesses may gain a better grasp of the costs and advantages of a project thanks to shadow pricing.

What in linear programming is a shadow price?

In linear programming, the maximum cost that must be paid to acquire a new unit of resource is known as the shadow price of the resource restriction.

                         Subtract the original objective function's value from the current objective function's value by one additional unit to determine the shadow price.

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Her savings would be $12.72 ($760 - $744.80 - $2.48).

The difference in the final payment is therefore $221.50 - $150 = $71.50.

a. The printer's price after the trade discount is $760 ($860 - $100). If Janet takes the 2% cash discount, she'll pay $744.80 ($760 * 98%).

If she borrows this amount at 6% for 20 days (the difference between 30 days credit and 10 days cash discount), her interest cost will be $2.48 ($744.80 * 6% * 20/360).

Therefore, her savings would be $12.72 ($760 - $744.80 - $2.48).

b. For choice 1, Janet would pay $150 for 17 months and then the remainder ($4,020 * 75% - $150 * 17) in the 18th month.

For choice 2, the monthly payment is $221.50, calculated by using the formula for an installment loan.

The difference in the final payment is therefore $221.50 - $150 = $71.50.

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Answer:

0.53 daL

Step-by-step explanation:

Answer:

1.40

Step-by-step explanation:

Given that

the number of customers are 130

The variance is 256

And, the sample mean is $21.50

We need to find out the standard error

So , the standard deviation is

= sqrt(variance)

= sqrt(256)

= 16

As we know that

standard error of mean = standard deviation ÷ sqrt(n)

= 16 ÷ sqrt(130)

= 1.40

Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

1. The initial mass of the sample was 32 mg. 2. The mass of the sample 7 weeks after the start is approximately 0.162 mg.

An unstable atomic nucleus releases particles or electromagnetic radiation as it undergoes radioactive decay, changing into a different nucleus. Since this process is unpredictable and spontaneous, the decay's timing cannot be anticipated. The radioactive substance's half-life, or the amount of time it takes for half of its radioactive atoms to decay, is used to calculate the rate of decay. Radiometric dating, nuclear energy production, and medical imaging all employ radioactive decay, which can cause the emission of alpha particles, beta particles, or gamma rays. Understanding the behaviour of matter at the atomic and subatomic level requires knowledge of radioactive decay.

1. The radioactive decay is given by the formula:

\(N(t) = N_0 * (1/2)^{(t/T)}\)

Now, for half-life of Palladium-100 is 4 days and t = 16 and N(t) = 2 we have:

\(2 = N_0 * (1/2)^{(16/4)}\\2 = N_0 * (1/2)^4\\2 = N_0* 1/16\\N_0 = 2 * 16\\N_0 = 32 mg\)

2. Foe 7 weeks:

7 weeks = 7 * 7 days = 49 days.

\(N(49) = N_0 * (1/2)^{(49/4)}\\N(49) = 32 * (1/2)^{(49/4)}\\N(49) = 0.162 mg\)

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Answer:

The numerator(Top part)

For example: 3/4

3 out of 4 of the image is shaped.

Step-by-step explanation:

Answer:

Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.

Now that she has 55 dollars, she will divide it up evenly between her 4 friends.

55/4 = 13.75

The most that she would be able to give them is $13.75

Step-by-step explanation:

Hope it helps! =D

Answer:

C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.

Step-by-step explanation:

If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Let's check all the options, then we have

A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.

B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.

C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.

D: The number of bacteria doubles every hour.  It is an example of the exponential function.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

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Answer:

Step-by-step explanation:

Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)

Answer:

70 puppies

Step-by-step explanation:

Find 10% which is 200÷10=20

20*3=60=30%

20÷2=10=5% so 60+10=70 puppies

Each package has 18 granola bars.

This problem can be solved through a system of linear equations.

Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.

For cafeteria A: \(7x+12=y\)

For cafeteria B: \(3x+84=y\)

Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.

\(7x+12=3x+84\).

\(7x+12=3x+84\)

\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.

\(4x=72\) --> Simplify by solving the substraction.

\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.

\(x= 18\)

\(y=7(18)+12\\ \\y=138.\)

If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.

The angles are complementary.

The value of x is equal to 15.

In Mathematics, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical expression:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

3x + 45° = 90°

3x = 90 - 45

3x = 45

x = 45/3

x = 15

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Answer:

is it 150?

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W = C

Step-by-step explanation:

First we must identify the relationship between weight of gold and cost of gold.

We can do this by dividing cost by corresponding weight.

7200 / 12 = 600

13200 / 22 = 600

19200 / 32 = 600

each proportion has an outcome of 600

Therefore Cost = Weight times 600 or C = 600W

Answer: 22.3 + 18.5 > 14.7

Step-by-step explanation: Just subtract 18.5 by 14.7 to get 3.8, and then, add that by 18.5 to get 22.3—which is greater than 14.7.

Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

Email your manager to notify her that you are running over on a call and ask her what should you do.

As my manager now knows that I am running over on a call, she could allow me to have a lunch break of whatever time I invested in the taxpayer's call. By doing this, both the taxpayer and I can be stress free.

What Is a Taxpayer?

A taxpayer is anybody who owes taxes to the federal, state, or municipal governments, whether they are an individual or a corporation. Governments primarily obtain their funding through taxes, which are levied on both citizens and companies.

According to the rules of the Income Tax Act, a taxpayer is a person or a business that pays taxes on its income each year. It becomes lawful after you file income tax returns and reveal your revenues.

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Step-by-step explanation:

very simple : you apply the "-" operator to the function definition.

as you can write -f(x) also as -(f(x).

so, you just put the regular f(x) in, and then make it all "negative" :

-f(x) = -(4x² - 5) = -4x² + 5

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49

The point estimate for sales with an advertising spending of $10,000 is given as follows:

B.) $900,000.

The linear regression equation for this problem is defined as follows:

y = 500 + 4x.

The variables for the equation are given as follows:

If advertising is $10,000, the value of x is given as follows:

x = 10000/100 = 100.

(as each unit of x represents $100).

Thus the point estimate of the sales is obtained as follows:

y = 500 + 4(100) = 500 + 400 = 900.

As each unit of y is measured in thousands of dollars, the sales were of $900,000, meaning that the correct option is given by option B.

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Answer:

Coupon A is less than B with a difference of $3.95

Step-by-step explanation:

Coupon A: 35% of 97 33.95 and since it is a discount, you take the 35% off the 97 which is 97-33.95=63.05

Coupon B: you have 30 discount, so you just take the 30 off 97, which is 97-30=67

Coupon B has a higher price. to get the difference, you take 63.05 off 67, so 67-63.05=3.95

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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