please someone explain to me how did we multiply the denominator in this

Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.

Answer: so the answer is a

Step-by-step explanation:

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

\(18\)

Step-by-step explanation:

The value of 7 (10 - 2³) + 8 ÷ 2 is 18.

9514 1404 393

Answer:

  367 miles per hour

Step-by-step explanation:

The speed of the faster train is half the total plus half the difference:

  s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

_____

Check

The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

_____

If you want an equation, you can let x represent the faster speed. Then the total is ...

  x + (x -10.9) = 723.1

  2x = 723.1 +10.9

  x = (723.1 +10.9)/2 = 367

pizzeria will not deliver to mikayla as distance is out of radius.

According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles

mikayla lives 4 miles north and 6 miles west,

So, distance of mikayla from company,

By using Pythagoras theorem

Distance = √(4)^2 + (6)^2 = √52 miles

As distance is greater than radius, pizzeria will not deliver to mikayla.

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Answer:

Step-by-step explanation:

Pythagorean theorem: base ² +altitude² = hypotenuse²

1) hypotenuse² = base² + altitude²

          x² = 6² + 3²

               = 36 + 9

               = 45

         x = √45

         x = 6.7 cm

4) base ² +altitude² = hypotenuse²

x ² + 3.7 ² =  4.2 ²

x ² + 13.69 = 17.64

             x ² = 17.64 - 13.69 = 3.95

             x = √3.95

            x = 1.99 cm

10)c ² = a ² + b ²

           = 3 ² +4 ²

         = 9 + 16

  c ² = 25

c = √25 = 5

11) a ² + b ² = c ²

9 ² +b² = 13 ²

81 + b² = 169

     b² = 169 - 81 = 88

b = 9.38

12) a² + b² = c²

12² + b² = 22²

  144 + b² = 484

           b² = 484 - 144 = 340

           b =√340 = 18.44

The range of the function is :

The correct option is (B) {-8, -3, 5, 7}.

We are given to find the range of the function shown in the figure.

We know that the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

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Hey mate!

Question:

5x – 1 = x+ 27

Answer:

x=7

Step-by-step explanation:

Step 1:

5x-x=27+1

Step 2:

4x=28

step 3:

x=28÷4

step 4:

x=7

hope it helped you:)

The position number for term 47 is 269.

This is an arithmetic sequence since each term has a common difference. Let us test it.

The difference between 1st and 2nd terms is

-7 + d = -1

d = -1 + 7

  = 6

Now we check the difference for term

The difference between 3rd and 4th terms is

5 + d = 11

d = 11 – 5

  = 6

So the difference is the same so we can apply a common equation for arithmetic sequence

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

Where :

\(a_{n}\) = number at term n

\(a_{1}\) = first number of sequence

d = difference for each number sequence

n = term

From the question, we need to find the number at position term 47

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

\(a_{47}\) = -7 + 6 ( 47 - 1 )

    = -7 + 6 ( 46 )

    = -7 + 276

    = 269

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Answer: the plant has grown 8x inches

Step-by-step explanation:

The plant has grown 8 times more than it's height last week so,

8 x \(x\) = 8x

Answer:

8x

Step-by-step explanation:

Plant inches: x

Amount it has grown: 8 times x (original height)

8 times x

simplify as

8x

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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After solving the equation, the number obtained is 4/3 and its reciprocal will be 3/4.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Let the number be x.

Then the sum and reciprocal of the number is 25/12.

So, the equation will be,

x + 1/x = 25/12

(x² + 1)/x = 25/12

12x² + 12 = 25x or,

12x² - 25x + 12 = 0

Now, find the roots:

D = b² - 4ac

(-25)² - 4× 12× 12

D = 49

Then,

-(b ± √D)/2a

(25 ± 7)/24

So, the roots are,

(25 + 7)/24 = 4/3 and,

(25 - 7)/24 = 3/4

Then, the number is 4/3 and its reciprocal is 3/4.

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Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

Answer:  y - 8.7 < 19

Step-by-step explanation:

"difference of a number y and 8.7"  is "y - 8.7"

"is less than 19"  is < 19

y - 8.7 < 19

Answer:

PEmDas so -53Step-by-step explanation:

Answer:

-53

Step-by-step explanation:

-9 + (-44)

-9 - 44

- 53

Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².

If we compare the function of the two graphs,

\(g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\\)

As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.

Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.

If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.

Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

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Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's

correct on edge 2023 have a good day :)

(Answer: 1/3.)

Step-by-step explanation:

3/10 = 0.3 (Nonrepeating decimal)

1/3 = 0.333..... 1 divided by a prime number always will be an irritational number (Repeating decimal)

6/12 = 1/2 = 0.5 (Nonrepeating decimal)

3/4 = 0.75 (Nonrepeating decimal)

Answer:

\(a = \frac{u + 3}{-3}\)

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

\(a = \frac{u + 3}{-3}\)  is your answer.

~

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Where h is the number of hours Melanie can rent the bike, and the solution is h < 5.5.

Let's first determine the cost of renting a bike for h hours:

Cost = 8h + 6

Since Melanie wants to rent a bike for less than $50, we can set up the following inequality:

8h + 6 < 50

Now we can solve for h:

8h < 44

h < 5.5

Since Melanie cannot rent a bike for a fraction of an hour, the maximum number of hours she can rent the bike is 5 hours.

Therefore, the inequality that will help Melanie find the maximum number of hours she can rent the bike is:

8h + 6 < 50

Where h is the number of hours Melanie can rent the bike, and the solution is h < 5.5.

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The level of measurement for the variable "Number of siblings" is a ratio, as it has a true zero point (i.e., having no siblings) and the values can be compared using ratios (e.g., having twice as many siblings as another person).

The level of measurement for a variable refers to the nature of the data and the mathematical properties that can be applied to them. The variable "Number of siblings" is a quantitative variable that can be measured on a ratio scale.

A ratio scale has a true zero point, meaning that having zero siblings is a meaningful and valid response. Additionally, the values can be compared using ratios, such as having twice as many siblings as another person.

This information is important in statistical analysis, as different levels of measurement require different methods of analysis and have different implications for interpreting the results.

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The fractions equivalent to 6/12 are 6/12, 2/4, and 1/2.

1. 4/6: To see if these fractions are equivalent, we can simplify 6/12. Divide both the numerator and the denominator by their greatest common divisor, which is 6. 6/12 ÷ (6/6) = 1/2. Now, simplify 4/6 by dividing both by their greatest common divisor, which is 2. 4/6 ÷ (2/2) = 2/3. These fractions are not equivalent, as 1/2 ≠ 2/3.

2. 3/8: This fraction cannot be equivalent to 6/12, as their denominators are different and don't have a common factor. So, no further calculation is needed.

3. 6/12: This fraction is the same as the original fraction and is therefore equivalent to itself.

4. 2/4: Simplify 2/4 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2/4 ÷ (2/2) = 1/2. This fraction is equivalent to 6/12, as 1/2 = 1/2.

5. 1/2: As we found out earlier, 6/12 simplifies to 1/2, so this fraction is equivalent to 6/12.

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Answer:

7b+5

Step-by-step explanation:

7 dollars for each bag of food (b) adding onto that the cost of a collar which is 5 dollars

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

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Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D