What is the geometric number between 16 and 64.

Let's call the number of first-class tickets Sarah purchased x. Then the number of coach tickets purchased is 9 - x.

The total cost of the first-class tickets was x * $980 and the total cost of the coach tickets was (9 - x) * $120.

The total budget for airfare was $6240, so we can set up the following equation:

x * $980 + (9 - x) * $120 = $6240

Solving for x, we get:

x = 5

So, Sarah purchased 5 first-class tickets and 9 - x = 4 coach tickets.

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The standard form of the Polynomial is [tex]x^4[/tex] ( x³ -13x² + 145x /4 - 5/4) = 0.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

given:

The zeroes are 5/2 (multiplicity 2), 3 (multiplicity 1) and 0 (multiplicity 4.)

So, the standard form is

(x- 5/2)² (x-3) [tex]x^4[/tex] = 0

(x² + 25/4 - 10x) (x-3) [tex]x^4[/tex] = 0

(x³ + 25x /4 - 10x² - 3x² -5/4 + 30x) [tex]x^4[/tex] = 0

[tex]x^4[/tex] ( x³ -13x² + 145x /4 - 5/4) = 0

Thus, the Standard form

[tex]x^4[/tex] ( x³ -13x² + 145x /4 - 5/4) = 0

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Answer:

9.79

Step-by-step explanation:

12 × 8 and root of that is 9.7979589

Answer: The height of a person on the ferris wheel can be modeled by the function:

h = 50 * cos(pi * t / 120) + 1

where t is the number of minutes since the wheel started turning, and pi represents the mathematical constant pi. The function takes into account the diameter of the ferris wheel (50 meters), the initial height of the platform (1 meter), and the fact that the wheel completes 1 full revolution in 4 minutes (120 seconds).

Step-by-step explanation:

Answer:

[tex]\sf Sin \ A = \dfrac{30}{50}\\\\\\Cos \ A = \dfrac{40}{50}\\\\\\Tan \ A = \dfrac{30}{40}[/tex]

Step-by-step explanation:

1)

              [tex]\sf Sin \ A = \dfrac{opposite \ side \ of \ \angle \ A}{hypotenuse}[/tex]

                        [tex]\sf =\dfrac{BC}{AC}\\\\=\dfrac{30}{50}[/tex]

             [tex]\sf \sf Cos \ A = \dfrac{adjacent \ side \ of \ \angle \ A}{hypotenuse}[/tex]

                       [tex]\sf = \dfrac{AB}{AC}\\\\= \dfrac{40}{50}[/tex]

             [tex]\sf \sf Tan \ A = \dfrac{opposite \ side \ of \ \angle \ A}{adjacent \ side \ of \ \angle \ A }[/tex]

                        [tex]\sf = \dfrac{BC}{AB}\\\\= \dfrac{30}{40}[/tex]

The number of weeks for taking 30 Quizzes will be 10.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Ernest took a total of 12 quizzes over the course of 4 weeks. The number of weeks required to take 30quizzes will be calculated as;-

12 quiz = 4 weeks

1 quiz = 4 / 12 weeks

30 quiz = ( 4 x 30 ) / 12 week

30 quiz = 10 week

Therefore, there will be 10 weeks total for taking the 30 quizzes.

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Answer:

146

Step-by-step explanation:

becuase it's parallel, so x = 146

Answer:

30/57   29/54

Step-by-step explanation:

The numerator is the number on top of the fraction

the denominator is the number on the bottom

[tex]\frac{30}{57}[/tex]  30 is the numerator

    57 is the denominator

Answer:

[tex]\frac{30}{57}[/tex]

[tex]\frac{29}{54}[/tex]

Step-by-step explanation:

The numerator of a fraction is the number that is above the line and the denominator of a fraction is the number that is below the line. We can use this to help find fractions with only the numerator and denominator.

When 30 is the numerator and 57 is the denominator.

[tex]\frac{30}{57}[/tex]

When 29 is the numerator and 54 is the denominator.

[tex]\frac{29}{54}[/tex]

The number line that shows the solution set of the inequality is B

In math, an inequality is a statement that describes a relationship between two values or expressions that are not equal. An inequality is written using mathematical symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

-1/2x ≥ 4

we are to get the value of x

-x ≥ 4 ÷ 1/2

- x ≥ 4 x 2

-x ≥ 8

x ≤ -8

The provided inequality is represented by an arrow with a solid point at x = -8 and an arrow pointing in the direction of negative values.

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The four integers are 5, 5, 12 and 14.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

Given:

Mean= 9

Median = 8.5

Mode = 5

Range = 9.

let the numbers arranged in ascending order are a,b,c,d

Median: b+ c /2 = 8.5

b+ c = 17 (number in the middle)

Mode: a = 5, b= 5 {because mode is the most repeating data}

Range: d- a = 9 (last one minus first one)

d= 9 + 5

d= 14

Now, b+c = 17

c= 17-5

c= 12

So, the data is 5 ,5, 12, 14.

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The frequency of the b1 allele after selection genotype frequency = 0.36

Genes can change into a variety of forms, with each form having a slightly different basic DNA sequence. These gene variations differ in the manner in which the trait is manifested, but they nonetheless code for the same feature (hair color) (i.e. brown vs blonde hair). Alleles are various variations of a single gene.

A genotype is a numerical representation of the type of mutation found at a particular locus (i.e., region) in the genome. It can be represented symbolically. As an example, the letters BB, Bb, and bb could be used to indicate a certain gene variant.

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Complete question:

A1A1 relative

fitness = 1

genotype frequency = 0.36

A1A2

relative fitness = 1

genotype frequency = 0.48

A2A2

relative fitness = 0.6

genotype frequency = 0.16

To form the smallest number, use the smallest digits first. The smaller digits are on the left. The larger digits are on the right.

Consider this smaller example of 23 vs 32.

The number of cases they go through in (x > 18.75 ) 30 days is greater than 18.75.

In this problem, Renata and her family go through an average of more than 15 cans of sparkling water each day. This means that in 30 days, they will go through a total of more than 15 * 30 = 450 cans of sparkling water.

They buy the sparkling water in cases of 24 cans each, and each case costs $3.5. To calculate the number of cases they need to buy, we divide the total number of cans they need by the number of cans in each case.

450 cans ÷ 24 cans per case = 18.75 cases

Since they need to buy more than 18.75 cases, we use the inequality symbol ">" to express this as:

x > 18.75

where x represents the number of cases of sparkling water they go through in 30 days.

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The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.

To better understand this question, let's simplify some of the information given:

4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls

40% of the boys liked the chicken nuggets = 0.40

Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.

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Answer:

you can see the above explanation

Step-by-step explanation:

thank you for this question

Step-by-step explanation:

Each beetle has 6 legs with 7 beetles

So 6 legs 7 times would be 6x7

And 6 multiplying by 7 is 42

In 7 beetles there are 42 legs.

The expression shows how to find out how much a repair will cost  is 45 + 55x

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Total charges = Tow + Rate per hour * x

Substitute the known values in the above equation, so, we have the following representation

Total charges = 45 + 55x

Hence, the expression is 45 + 55x

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The expression 32.6/10 - 5 x 8 - 9.16 + 88.9 has the value of 43.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's the expression to be found be "y".

An expression that, when evaluated, gives us a value of 43 is required.

Start by manipulating the given expression to isolate the value of "y".

Use the order of operations (PEMDAS) to simplify the expression -

32.6/10 - 5 × 8 - 9.16

3.26 - 40 - 9.16 (since 5 × 8 = 40)

-45.9

So the value of the given expression is -45.9.

To make the expression equal to 43, add a constant term to it -

y = 32.6/10 - 5 × 8 - 9.16 + 88.9

Evaluate this expression -

y = 3.26 - 40 - 9.16 + 88.9

= 43

Therefore, the expression obtained is 32.6/10 - 5 x 8 - 9.16 + 88.9.

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Coordinates of the image of Quadrilateral ABCD are

A' = (1 , -1)

B' = (2 , -4)

C' = (7 , -1)

D' = (6 , -4)

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given,

Graph of a quadrilateral ABCD

A(1 , 1)

B(2,4)

C(7 , 1)

D(6 , 4)

After reflection over x - axis,

y = f(x) → y = -f(x)

(1, 1)  → (1 , -1)

(2 , 4) → (2 , -4)

(7 , 1) → (7 , -1)

(6 , 4) → (6 , -4)

Hence, After reflection the coordinates are:

A' = (1 , -1)

B' = (2 , -4)

C' = (7 , -1)

D' = (6 , -4)

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18 is the number that makes the ratio equivalent to 2:6

Equivalent ratios are ratios that have the same value, but may have different numerator and denominator values. They are related to each other by multiplication or division of both the numerator and denominator by the same non-zero value.

For example, the ratios 2/4 and 1/2 are equivalent ratios because both represent the same fraction (1/2) and therefore have the same value.

In this case we have:

2:6 = 6: x

2/6 = 6/x

2 * x = 6 * 6

2x = 36

x = 36/2

x = 18

Thus, the number that makes the ratio equivalent to 2:6 is 18

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Answer:

5609/7 = 801.3 (rounded)

Step-by-step explanation:

Answer:801.2857143

Step-by-step explanation: Remember to enter it in your calculator, if you get a fraction as an answer click shift and then = there you go

A true statement on the mean number of lessons for the dogs is The mean number of lessons for group A is greater than the mean for group B by 1 MAD.

The difference in the mean number of lessons between the two groups being Group A and Group B is :

= Mean number of lessons Group A - Mean number of lessons Group B

= 5 - 3

= 2

The mean absolute deviation for Group B is 2. The mean number of lessons of group A related to this is :

= 2 / 2

= 1

This shows that the mean number of lessons for group A is greater than the mean for group B by 1 MAD.

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The full question is:

Mean number of lessons Mean Absolute Deviation (MAD)

Group A 5

Group B 3

2

2

Which statement about the data is true?

A. The mean number of lessons for group A is greater than the mean for group B by 1 MAD

B. The mean number of lessons for group A is greater than the mean for group B by 2 MAD

C. The MAD for group A is more than the MAD for group B

D. On average, the dogs in group B required more lessons than the dogs in group A

28 walnuts and 20 chocolate chips are the combinations that the baker can use.

X stands for the total number of possible walnuts and y stands for the number of potential chocolate chips.

From the graph we can see:

a) 25 chocolate chips and 33 walnuts

Specifically, points (33,25) on the graph are outside the shaded region or the feasible region.

Therefore, it cannot be a solution.

b) With 10 chocolate chips and 45 walnuts.

i.e., the coordinate point (45,10) also lies outside the shaded area, making it impossible for this to be a solution to the problem.

c) The given problem will have an answer at point (28,20), which is located inside the shaded area.

d)  with 12 chocolate chips and 55 walnuts.

Point (55, 12) is not a viable solution because it lies outside the shaded area.

Hence, 28 walnuts and 20 chocolate chips in combination are the ones baker can use.

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The full question is:

The triangular region shows the number of possible walnuts, x, and the number of possible chocolate chips, y, a baker can use in a recipe.

Which combination of walnuts and chocolate chips can the baker use?

A. 33 walnuts and 25 chocolate chips

B. 45 walnuts and 10 chocolate chips

C. 28 walnuts and 20 chocolate chips

D. 55 walnuts and 12 chocolate chips

In the diagram, one line is transversal of two parallel lines, so the value of a is 113°, value of b is 67° and value of c is 67°.

On a plane, lines that are parallel to one another never cross or come together. They are always parallel and equally spaced apart from one another. Parallel lines are lines that do not intersect. Lines are referred to as parallel if they never intersect and do not have a common intersection.

One line crosses two parallel lines in the diagram.

Angle an is the 113°'s vertically opposite angle.

Therefore, the angle's value is 113°.

Here, a and b have the same side interior angles since a line is transversal to two parallel lines.

So, a + b = 180°

⇒ 113° + b = 180°

⇒ b = 180° - 113°

⇒ b = 67°

And c is vertically opposite angle of b

So, the value of angle c = 67°

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The domain of the equation A = 25/ ( y - 9 ) is y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 25/ ( y - 9 )   be equation (1)

when y = 0 , the equation is undefined

So , the domain of the function will be y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

Hence , the domain is ( -∝ , 9 ) ∪ ( 9 , ∝ )

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The excluded value of the function is x = -1

From the question, we have the following parameters that can be used in our computation:

The function

The definition of the function is given as

y = 2/(x + 1) + 1

Set the denominator to 0 to determine the excluded value

So, we have

x + 1 = 0

Evaluate the like terms

x = -1

Hence, the value that is excluded is x = -1

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Answer:

1.25

Step-by-step explanation:

To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.

Answer:

Step-by-step explanation:

It can be modeled by the equation:

y = x + 0.05x

So, Keenan pays about $398.02

Answer:

The distance from Jerusalem to Galilee is approximately 150 km depending on the route you take. You can get a bus from Jerusalem's central bus station to Tiberias, on the edge of the Sea of Galilee. The journey takes about 2-3 hours.Sep 4, 2019

This is an example of stratified sampling.

Samples may be classified as:

For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.

As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.

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The results of the divisions are:

1. 955/8 = 115 remainder 3

2. 249/7 = 35 remainder 4

3. 1,557/9 = 173 remainder 0

4. 2,448/8 = 306 remainder 0

5. 499/2 = 249 remiander 1

6. 396/6 =  66 remainder 0

7. The quotient will be in the tens since the value of 425 is between the product of 9 and 10 and 9 and 100.

The results of the given divisions are found as follows by means of long division:

1. 955/8 = 115 remainder 3

115 * 8 + 3 = 955

2. 249/7 = 35 remainder 4

35 * 7 + 4 = 249

3. 1,557/9 = 173 remainder 0

173 * 9 = 1557

4. 2,448/8 = 306 remainder 0

306 * 8 = 2448

5. 499/2 = 249 remiander 1

249 * 2 + 1 = 499

6. 396/6 =  66 remainder 0

66 * 6 = 396

7. 425/9 = 47 remainder 2

47 * 9 + 2 = 425

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