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The number of pages in the book is given by the inequality 90 < A < 96 , where A is the number of pages

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of pages in the book be A

And , it is more than 90 and less than 96

So , the value of A is { 91 , 92 , 93 , 94 , 95 }

On simplifying , we get

90 < A < 96 , where A is the number of pages

Hence , the inequality is 90 < A < 96

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At the school play, 225 adult tickets were sold.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The number of adult tickets sold be 'x',

Therefore, The number of student tickets would be 'x - 68'.

Therefore, The expression can be formed as,

x + (x - 68) = 382.

2x - 68 = 382.

2x = 450.

x = 225.

So, The number of adult tickets sold is 225.

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Answer:

Given value is Rational. The value is 2.06

Step-by-step explanation:

Answer: Rational.

Step-by-step explanation:

An irrational number is one that terminates forever, and cannot be expressed as a fraction. 68/33 is a fraction, therefore it's rational. Irrational can be values like pi, which do not have a ratio form (e.g. fraction).

Step-by-step explanation:

a. £5,37

b.£2,07

c.£15,70

Solving the provided question, we can say that By, Pythagorean theorem PR = √277 and b = 11.31

The Pythagοrean Theorem, sometimes known as the Pythagοrean Theorem, is the basic Euclidean geοmetry relationship between a right triangle's three sides. Accοrding to this rule, the area of a square with the hypotenuse side equals the sum οf the areas of squares with the other twο sides. The Pythagοrean Theorem, often knοwn as the generic algebraic nοtation a² + b² = c², states that the square that crοsses the hypotenuse οf a right triangle οpposite the right angle equals the sum of the squares that span the sides of a right triangle.

By, Pythagοrean theorem

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

Again by Pythagorean theorem

c² - a² = b²

18² - 14² = b²

b² = 324 - 196

b = √128

b = 11.31

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The mean for this population is 55. The variance and standard deviation for this population are 94.8 and 9.74

The data is given for five families and their children are tested to see how many words they can speak in Swahili.

Toddler     Number of words(X)        X - M         (X - M)²

   A                        47                          - 8                64

   B                        73                           18               324

   C                        56                            1                  1

   D                        46                          -9                 81

   E                        53                          -2                  4

                                                                              424

Mean of the population(M) = (∑X)/n

                                             = (47 + 73 + 56 + 46 + 53)/5

                                             = 275/5 = 55

Variance f population (σ²) = (X - M)²/n = 474/5 = 94.8

Standard deviation of population(σ) = √94.8 = 9.74

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The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].

The cost of the first 2 hours of operation will be $6292

From the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.

Therefore, the (composite) function of the number of hours of operation of the assembly line will be:

= 2772 + 110[17t - 1/2t²]

The cost of the first 2 hours of operation will be:

2772 + 110[17t - 1/2t²]

= 2772 + 110[17 × 2 - 1/2 × 2²

= 2772 + 110(34 - 2)

= $6292

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Step-by-step explanation:

(x-2)(x-2)-4x

x²-2x-2x +4-4x

x²-4x-4x +4

x²-8x+4

Answer:

 4x - (x - 2)² = 4x - x² + 4 = 3x + 4

Step-by-step explanation:

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

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Answer: x=10

Step-by-step explanation:

The change in potential energy of the apple during the fall was approximately 13.72 joules.

One of the two types of energy is potential energy, which is the latent energy in an object at rest. Kinetic energy, on the other hand, is the energy that an item in motion expresses.

The formula: can be used to determine the change in potential energy (PE) of a mass m object that falls a distance h from the Earth's surface.

ΔPE = mgh

where g is the acceleration brought on by gravity close to Earth's surface, which is roughly 9.8 m/s^2.

In this instance, the apple weighs 0.2 kg, falls 7 metres, and accelerates by gravity at a rate of 9.8 m/s^2. So, the potential energy change is as follows:

PE is equal to (0.2 kg) times (9.8 m/s^2) times (7 m) Equals 13.72 joules (J)

As a result, the apple's potential energy changed by around 13.72 joules during the fall.

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Answer: interest= 670

Step-by-step explanation:

(1+r)^t*principal

Answer:

1 this is the answer because 1 is more than other number

The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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1) Note that the altitude of the top of the hill is -136 feet above sea level.

2) Note that Checkpoint 1 is 3,558 feet higher than Checkpoint 5.

Altitude or height is a distance measurement between a reference datum and a point or object, generally in the vertical or "up" direction. The precise definition and reference datum vary depending on the circumstance.

1) Checkpoint 4 has an altitude of -202 feet above sea level. The top of the hill rises 66 feet above Checkpoint 4. Therefore, the altitude of the top of the hill is:

-202 + 66 = -136 feet

So, the altitude of the top of the hill is -136 feet above sea level.

2) To find the difference in altitude between Checkpoint 1 and Checkpoint 5, we need to subtract the altitude of Checkpoint 5 from the altitude of Checkpoint 1.

Altitude difference = Altitude of Checkpoint 1 - Altitude of Checkpoint 5

Substituting the values given in the table, we get:

Altitude difference (AD) = 3,459 - (-99)

AD = 3,459 + 99

Thus, AD = 3,558

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Answer: X= -66

Step-by-step explanation:

If m angle UYV=56

Then WYX= -x-10=56

then X=-66

Answer:

Step-by-step explanation:

The answer is d. f(x) = 3 (x-4) (x+2).

Answer:

...here is the answer...

Inability to sleep properly for weeks  is a warning sign that someone needs the help of a mental health professional. Correct option is C.

Difficulty sleeping, or insomnia, can be a warning sign that someone needs the help of a mental health professional. Insomnia can be caused by a number of mental health conditions, such as anxiety, depression, or post-traumatic stress disorder (PTSD), as well as other factors such as stress, poor sleep habits, or physical health problems.

Feeling shy when asked to walk onstage and overeating to increase bodily strength may be signs of anxiety or other emotional or psychological issues, but they are not necessarily warning signs that someone needs the help of a mental health professional.

However, if these behaviors are causing significant distress or interfering with daily life, it may be a good idea to seek the help of a mental health professional.

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Answer:

Below

Step-by-step explanation:

The exterior angles for any polygon  sum to 360 °

so

 6 * n   = 360 °     <=====  where 'n' is the number of sides

 n = 60   sides

Answer:

Below

Step-by-step explanation:

One leg would be    hyp * cos 30   and one would be  hyp cos 60

                   hyp cos 30 : hyp cos 60

                           cos 30 : cos 60

                      =   ratio     sqrt (3) /2  :  1/2     or     sqrt 3  : 1

Types of Goals in line with Anelisa's story:

Goal setting helps individuals focus their efforts, prioritize their time and resources, and measure their progress towards achieving their goals. In the context of career choice, goal setting can help individuals:

Challenges Anelisa experienced:

Anelisa's personal values, such as determination, resilience, and a strong work ethic, likely played a significant role in her success. These values likely gave her the motivation and drive to pursue her goals, despite the challenges she faced. Additionally, her values may have helped her stay focused on her goals, maintain her sense of purpose, and make decisions that aligned with her vision for her life.

Relationships can impact the achievement of goals in both positive and negative ways. On the positive side, supportive relationships can provide individuals with emotional support, encouragement, and practical resources that can help them achieve their goals. On the negative side, relationships can also be a source of conflict and distraction, especially if they are not aligned with the individual's goals or values.

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Answer:

Step-by-step explanation:

lack of financial stability Nd resoouces

The solution is, (17)(0.25)(4) = 17.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

(17)(0.25)(4)

=(17)*1

=17

at first we have to multiply the last two terms i.e. (0.25) and (4), then, we multiply the result 1 with 17, and get the result 17.

Hence, The solution is, (17)(0.25)(4) = 17.

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Answer:

6x - 5y

Step-by-step explanation:

( remove the unnecessary parentheses)

= 5x + 5y + x - 10y

= 6x + 5y - 10y

= 6x + 5y

Answer:

x <-1.5

or

x <9.6

Step-by-step explanation:

12x + 7 < - 11

12x < -11 - 7

12x < - 18

12x/12 < -18/12

x = -1.5

OR.

5x - 8 > 40

5x > 40 + 8

5x > 48

5x/5 > 48/5

x > 9.6.

Answer:  do you need me to answer all or anthor example.

Step-by-step explanation:

I will answer

Answer:

[tex]10\sqrt{7}+8\sqrt{2}[/tex]

Step-by-step explanation:

Lets simplify.

[tex]3\sqrt{28}+4\sqrt{7} +2\sqrt{32}[/tex]

Rewrite [tex]28[/tex] as [tex]2^2*7[/tex]

[tex]3\sqrt{2^2*7}+4\sqrt{7} +2\sqrt{32}[/tex]

Pull terms out from under the radical.

[tex]3\left(2\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]

[tex]6\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]

Add [tex]6\sqrt{7}[/tex] and [tex]4\sqrt{7}[/tex].

[tex]10\sqrt{7} +2\sqrt{32}[/tex]

Rewrite [tex]32[/tex] as [tex]4^2*2[/tex].

[tex]10\sqrt{7} +2\sqrt{4^2*2}[/tex]

Pull terms out from under the radical.

[tex]10\sqrt{7}+2\left(4\sqrt{2}\right)[/tex]

[tex]10\sqrt{7}+8\sqrt{2}[/tex]

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The equation is slope-intercept form is equal to y = 5x - 3.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (0, -3), a linear equation of this line can be calculated in slope-intercept form as follows:

y - (-3) = (2 + 3)/(1 - 0)(x - 0)

y + 3 = 5x

y = 5x - 3.

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9.19% of the total is made up of Green.

The percentage formula is dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of green cars = 120

Number of green planes = 250

Number of green trains = 500

Total = 870

Now,

The total number of all colors of the car, plane, and train.

= 870 + 1250 + 820 + 800 + 990 + 4730

= 9460

Now,

The percentage of green cars, planes, and trains.

= 870/9460 x 100

= 9.19%

Thus,

9.19% of the total is made up of Green.

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