When 3 times a number is decreased by 2 ​ the result is 25 . What is the​ number?

Answer:

19 billion dollars

Step-by-step explanation:

Given the equation :

S - 1.3x = 6

Where, S = amount of sale of statin in billions of dollars ; x = number of years after 1998

Amount spend in 2008

x = 2008 - 1998 = 10

Put x = 10 in the equation ;

S - 1.3x = 6

S - 1.3(10) = 6

S - 13 = 6

S = 6 + 13

S = 19

People will spend about 19 billion dollars on statin in 2008

Answer:

4.6

Step-by-step explanation:

Answer:

no, it is not a solution

Step-by-step explanation:

2x−y=−3.

insert the x value and y value ---> x= -2   y= 1

2(-2) -(1)= -3

simplify

-4-1=-3

-5= -3

NO

Step-by-step explanation:

We need to write our function in the formula for Exponential Decay a(1-r)^x  

We can represent "a" in our equation as the original sample size for the substance (800 mg).

According to the formula, we need to subtract our rate of decay from 1. Remember! We CANNOT use the percent's decimal as a number. We need to convert the percent to a decimal. We do this by moving the decimal place backwards 2 places. 7.2% = .072

1 - .072 = .28

Now we have the equation f(x) = 800(0.28). But where are the variables? That is our next problem. If t is the number of years since 2001, then we need to multiply it by the rate of decay (.28t). Now there is only one variable left, which is y.
Our answer is f(x) = 800(.28t)^y

Answer:

Line AB is Perpendicular to line CD

Line AB Parallel to line EF

Answer:

perpendicular, parallel

Step-by-step explanation:

Also your answer for #4 is wrong, it's actually line FD

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

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The ratio of x to y is given by 3 : 1

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

6 ( y + 3 ) = 2 ( x + 9 )

On simplifying , we get

6y + 18 = 2x + 18

Subtracting 18 on both sides , we get

6y = 2x

Divide by 2 on both sides , we get

x = 3y

Divide by 3 on both sides , we get

x/y = 3/1

Therefore , the proportion is x : y : : 3 : 1

Hence , the ratio is 3 : 1

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Answer:

33

Step-by-step explanation:

From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)

Step-by-step explanation:

so, she spent 25-16.39 = $8.61 on the ribbon.

1 yard of the ribbon costs $0.21.

how many yards did she buy with that amount of money ?

well, as many times as 0.21 fits into 8.61 :

8.61 / 0.21 = 41

so, she bought 41 yards of ribbon.

I'm happy to help you today!

Answer:

41 yards is correct

Step-by-step explanation:

Step 1. The information we have is:

Originally Jane had $25 on her debit card.

She made a purchase of bulk ribbon for 21 cents per yard.

And after that she ended up with $16.39 on the card.

Step 2. Make an equation to describe the situation.

The equation that describes this situation is:

\(\tt 25-0.21y=16.39\)

Where 25 is the initial amount and to that, we subtract 0.21y, where y is the number of yards that she bought of ribbon. And all of this has to be equal to the final amount of 16.39.

Step 3. Solve the equation for y:

To solve for y, we subtract 25 to both sides of the equation:

⇒ \(\tt-0.21y=16.39-25\)

⇒ \(\tt -0.21y=-8.61\)

Then, divide both sides of the equation by -0.21:

\(\tt y=\frac{-8.61}{-0.21}\)

The result is:

\(\tt y=41\)

The answer is 41 yards of ribbon.

\(-Nature-\)

Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

Answer:

auc=5,10,15,20,30,40

Answer:

F

Step-by-step explanation:

Fahrenheit=Fº

This is correct YW

Answer:

°F

Step-by-step explanation:

Fahrenheit (more precisely, a degree Fahrenheit) is a unit of measurement used to measure temperature. The conversion rate to Celsius is C= 5/9 x (F − 32). The degree Fahrenheit is abbreviated °F . This temperature scale was made in 1724 by a German scientist named Daniel Gabriel Fahrenheit.

Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4

Answer:

Step-by-step explanation:

y=-x+2 equation 1

y=3x-2 equation 2

sub equation 1 into 2

-x+2=3x-2

-x+2-3x+2 =0 (bring everything to one side and to equal 0)

-4x+4=0 (collect like terms and go with the sign given)

-4x=-4 (bring 4 over to the other side to isolate)

-4x/-4=-4/-4 (divide to isolate)

x=1

y=-3x+3 equation 1

2x+y=1 equation 2

y=-2x-1 Rearrage equation 2 (now equation 3)

sub equation 1 into 3

-3x+3=-2x-1

-3x+3+2x+1 =0 (bring everything to one side and to equal 0)

-x+4=0 (collect like terms and go with the sign given)

-x=-4 (bring 4 over to the other side to isolate)

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Amy has 3/4 of a meter of ribbon. For each bookmark she's decorating, she'll need 1/10 of a meter. This means she needs to find how many one-tenths are available in three-quarters.

Therefore;

However, since she cannot make a fraction of a bookmark, then the answer is 7 (we would disregard the half)

A) Yes, X is a binomial random variable because all of the requirements for a binomial distribution have been established

B) The mean and standard deviation are respectively; 1.2 and 0.6

C) The probability given as P(X ≥ 2) is 0.34464

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The general formula of binomial probability distribution is;

P(X = x) = nCr * p^(x) * (1 - p)^(n - x)

where;

p = probability of "success"

n = number of trials, or the sample size

x = the number of "successes" in the probability we are trying to calculate.

A) We are told that 6 friends each buy one 12-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize.

Probability of success; p = 1/5

Number of events; n = 6 which is the random variable being binomial random variable:

There are two types of accomplishments: successes and failures.

Candies are unrelated to one another.

There is a set number of buddies available.

In addition, the chance of success is fixed.

Because all of the requirements for a binomial distribution have been established, then it is a binomial probability distribution.

B) The formula for the mean here is;

μ = np

Plugging in the relevant values gives;

μ = 6(1/5) = 1.2

Formula for the standard deviation is;

σ = √(np(1 - p))

Thus;

σ = √(6 * 1/5)(1 - (1/5)))

σ = 0.6

C) The probability P(X ≥ 2) calculated with online binomial probability calculator gives;

P(X ≥ 2) = 0.34464

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Answer:

Step-by-step explanation:

If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:

Solve for the missing leg of the triangle, using the Pythagorean theorem:

Therefore, for the trigonometric relationships:

Now, substitute and solve for the relations:

Answer:

1. C. The researcher must compute an estimated standard error for the mean difference score to compute a t statistics.

2. B. 10

3. A. 12

Step-by-step explanation:

The degrees of freedom is number of independent variable factors that affect the range of parameters. The degrees of freedom is the calculation of number values that are free to vary. The degrees of freedom is calculated by N-1. Standard error is the estimated deviation of standard deviation from its sample mean distribution.

Answer: f ≤ 17

Step-by-step explanation:

She only has 17 sheets of paper, so you can eliminate f > 17 and f ≥ 17 easily.

The problem states that she'd be using some of the paper. This doesn't mean that she's going to use all of it, but she can.

Because we don't know how much she's going to use, your answer would be f ≤ 17.

Answer:

200(50) is for the original revenue, and (200 - 10(50 + 5)) is if they increase it once.

The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.

We are given that;

Line a is parallel to line b

Line m is parallel to line n.

A) We want to prove that line a is perpendicular to n.

From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.

Now, we know that by definition of a right angle that ∠1 will also be a right angle.

Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.

B) We want to prove that line b is perpendicular to n.

The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Thus, b will be perpendicular to n.

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Answer: Anything that is 1202 or larger

In other words, \(m \ge 1202\)

So we could have m = 1202, or m = 1203, or m = 1204, etc.

===============================================

Explanation:

The monthly bill is at least $109.14, since this is the lowest amount she has been charged.

\(\text{monthly bill} \ge 109.14\\\\0.07m+25 \ge 109.14\\\\0.07m \ge 109.14-25\\\\0.07m \ge 84.14\\\\m \ge \frac{84.14}{0.07}\\\\m \ge 1202\\\\\)

This says that the least number of minutes Martina has used is 1202 minutes.

So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}

Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

7 packs for $40.60

Step-by-step explanation:

Answer:why are you trolling ppls answers? Don't you have better things to do?

Step-by-step explanation: