Arun’s restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun’s total bill be?

Answer:

Original Number is 37

Step-by-step explanation:

Let

x = First digit

y = Second digit

x + y = 10

∴y = 10 - x

Original Number = 37

3 + 7 = 10

When reversed:

New Number is 36 more than the original Number:

37 + 36 = 73

∴New Number = 73

Answer:

A. 1809.6 cm²

Step-by-step explanation:

The formula for the surface area of a sphere is:

Surface Area = 4πr^2

where r is the radius of the sphere.

Substituting the given value of radius, r = 12cm, we get:

Surface Area = 4π(12)^2

= 4π(144)

= 576π

≈ 1809.6 cm² (rounded to the nearest tenth)

Therefore, the answer is (a) 1809.6 cm²

The measurements in millimeters of each folded leaflet are 210 mm by 99 mm.

millimetre (mm), also spelled millimetre, unit of length equal to 0.001 metre in the metric system and the equivalent of 0.03937 inch in the imperial system.

When an A4 sheet of paper is folded in thirds, it yields three equal sections with widths of 210/3 = 70 mm and heights of 297 mm. As a result, each folded leaflet will be 210 mm by 99 mm (since 297/3 = 99).

As a result, each folded leaflet measures 210 mm by 99 mm in millimetres.

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In a normal distribution, x = -5 and z = -3.14 means that x = -5 is 3.14 standard deviations to the left of the mean

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

Distribution = Normal

z = -3.14

z = -5

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a z-score of -3.14 indicates that the value is 3.14 standard deviations below the mean.

Since x is given as -5, we know that this value is 3.14 standard deviations below the mean value, which can be determined by multiplying the standard deviation by the z-score.

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If today were January 1, 2023, then 80 days from today would be March 22, 2023. Keep in mind that the actual date that is 80 days from today will depend on the current date.

To determine the date that is 80 days from today, you can add 80 days to the current date.

As of my knowledge cutoff date of September 2021, the current date is irrelevant for today. However, I can tell you how to calculate the date that is 80 days from any given date.

Assuming you want to calculate 80 days from today's date, you would add 80 days to today's date. For example, if today were January 1, 2023, then 80 days from today would be:

January 1, 2023 + 80 days = March 22, 2023

So, if today were January 1, 2023, then 80 days from today would be March 22, 2023. Keep in mind that the actual date that is 80 days from today will depend on the current date.

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Answer:

13

Step-by-step explanation:

11+2^2 -2

= 11+4-2

= 15-2

= 13

Due to the fact that there are an unlimited number of values that are either more than or less than the variable x.

Rationales are intelligent, independent, and capable of both stubbornness and skepticism. Rationales typically spend a lot of time and effort trying to comprehend the manner in which the universe of ideas works.

Every number that can be stated as a percentage or as a portion of a whole integer is considered rational. (For instance, -7, 2/3, and 3.75) Irrational numbers are those that can't be stated as a ratio of two integers or a fraction. They cannot be expressed in any finite way.

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Answer: 11.2 inch

Step-by-step explanation:

Answer:

36π cm^2

Step-by-step explanation:

area= πr^2

= 36π cm^2

The number of each kind of package that were shipped include the following:

Standard-Delivery: = 61

Express Delivery: = 61

The total number of packages that was delivered in a day = 138.

The total cost for the delivery for a day = $669.00

The charges for each standard-delivery package = $2.50

The charges for express-delivery package = $8.50

The total charges for both = $11

The charges for Standard-Delivery

= 2.50/11 × 669.00

= 1672.5/11

= $152.1

The number of Standard-Delivery that was shipped = 152.1/2.5 = 61

The charges for Express Delivery:

= $669.00-$152.1

= $516.9

The number of Express Delivery that was shipped;

=516.9/8.5 = 61.

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The equation of line is y = 35x + 10 and Juan followed the instructions

The solution is Option A. Yes, his free throws can be represented by

y = 35x + 10

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 45 )

Let the second point be Q ( 2 , 80 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 80 - 45 ) / 2 - 1

Slope m = 35

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 45 = 35 ( x - 1 )

On simplifying the equation , we get

y - 45 = 35x - 35

Adding 45 on both sides of the equation , we get

y = 35x + 10

Hence , the equation of line is y = 35x + 10

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The complete question is :

Juan recorded the total number of free throws he attempted during practices. His results are shown in the table.

Number of practices = { 1 , 2 , 3 , 4 }

Number of throws attempted = { 45 , 80 , 115 , 150 }

Juan's coach told him to attempt 10 free throws before the first practice and then 35 free throws each practice. Did Juan follow his coach's instructions?

A) Yes, his free throws can be represented by y = 35x + 10.

B) Yes, his free throws can be represented by y = 45x.

C) No, his free throws can be represented by y = 35x.

D) No. his free throws can be represented by y = 45x.

A rectangle is a rhombus =Sometimes

A parallelogram is a rectangle = Always

A quadrilateral is a pentagon = Never

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A rhombus has four equal sides and its opposite angles are equal.

A rectangle is a rhombus if the rectangle becomes a square.

So,

We can say that a rectangle is sometimes a rhombus.

A parallelogram is always a rectangle.

But not all rectangle is a parallelograms.

A quadrilateral has four sides.

A pentagon has 5 sides.

So,

A quadrilateral is never a pentagon.

Thus,

A rectangle is sometimes a rhombus.

A parallelogram is always a rectangle.

A quadrilateral is never a pentagon.

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D) 110 = 16 + 10h

C) 16 = 110 – h

Step-by-step explanation:

Think about it. She NEEDS $110 but she only has $16. So now it's $110=$16 {or C}.

She can EARN the rest {H} by working her hours.

Answer: B: 113.04cm^2

Step-by-step explanation:

The number of packages of hot dogs is 4 hot dogs.

The number of packages of hamburgers is 5 hamburgers.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of hamburgers respectively, and then translate the word problem into algebraic equation as follows:

Since Mrs Vahey bought a total of 9 hot dogs or hamburgers, the linear equation to represent this is as follows:

x + y = 9

Additionally, hot dogs are $1.50 and hamburgers are $4, and she spent a total of $26;

1.50x + 4y = 26

Next, we would use an online graphing calculator to plot the above system of linear equations in order to determine the solution (point of intersection) as shown in the graph attached below.

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The total number of signatures on a petition doubles each week. In the sixth week, there are 192 signatures on the petition therefore the number of signatures which were on the petition in the first week is 3.

This is referred to as twice as large as usual or is made up of two standard units or things.

Since the petition doubled every week then:

3 × 2 = 6 × 2 = 12 ×2 = 24 ×2 = 48×2 = 96×2 =192 thereby making the number of signatures on the petition in the first week as 3.

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The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Time taken to walk across 100 yard field is 60 minutes.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Speed of Slauson = 5 ft./min

That is, in 1 minute, Slauson can walk 5 feet.

We have to find the time taken to walk 100 yard.

1 yard = 3 feet

100 yard = 300 feet

Speed = Distance / Time

Time = Distance / Speed

Time = 300 / 5 = 60 minutes

Hence it will take 60 minutes to walk across a 100 yard field.

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Answer:

$5111.76

Step-by-step explanation:

compounded daily means 365 times interest is compounded per year, so

A=4156x[tex](1+\frac{0.0345}{365}) ^{365x6}[/tex] ≈ 5111,76

Answer:

x=166

Step-by-step explanation:

180-14= 166

x=166

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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The null hypothesis, denoted by H0, represents the status quo or the default assumption. In this case, the null hypothesis is that the average water consumption in Montana residences is 125 gallons per week.

The alternative hypothesis, denoted by Ha, is the hypothesis that the researcher is trying to prove. In this case, the alternative hypothesis is that the average water consumption in Montana residences is not equal to 125 gallons per week.

So, the null and alternative hypotheses for this problem are:

H0: μ = 125 (where μ is the population mean water consumption in Montana residences)

Ha: μ ≠ 125 (where μ is the population mean water consumption in Montana residences)

Note that the alternative hypothesis is a two-tailed hypothesis since we are testing whether the population mean is not equal to 125, which could mean it is either greater or less than 125.

The age of the mother and the daughter currently would be = 30 and 6 years respectively.

The previous age of the mother(M) = 5D

Where D = daughter

Let the current age of the mother after 6 years ;

M + 6 = 3( D+6)

substitute 5D for M

5D + 6 = 3( D+6)

5D + 6 = 3D+ 18

5D-3D = 18-6

2D = 12

D= 12/2

D = 6 years

Therefore the current age of the mother= 5×6= 30 years

and daughter = 6 years.

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Answer: To find the solution to the equation 21/2 + x = 31/2, we need to isolate x on one side of the equation. Subtracting 21/2 from both sides gives us:

x = 31/2 - 21/2

Combining the fractions on the right side gives us:

x = 10/2

Dividing the numerator by the denominator gives us:

x = 5

So the solution to the equation 21/2 + x = 31/2 is x = 5. To fill in the bubbles on the grid, you would need to write the number 5 in the appropriate row and fill in the corresponding bubbles to indicate the digits of the number.

Step-by-step explanation:

The amount of paint needed if the dimensions are doubled is; 8 ounces.

The quantity of sugar which the rectangular prism would hold if the dimensions are doubled is; 120 cups of sugar.

Recall,

Area of a rectangular prism = 2 (lw + lh + wh) and

Volume of a rectangular prism = l × w × h.

Hence, when the dimensions are doubled;

New Area = 2 × 4 (lw + lh + wh) = 4 × initial area.

Therefore, the quantity of paint needed is; 4 × 2 ounces = 8 ounces of paint.

Also, when the dimensions are doubled;

New Volume = 2l × 2w × 2h = 8 lwh.

New Volume = 8 × initial volume = 8 × 15 cups = 120 cups of sugar.

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The graph of y = G(x) consists of a semicircle and three line segments. The function G is defined and differentiable on the closed interval [-7, 5] and satisfies G(0) = 5.

A) G(3) = 4.5 and G(-2) = 4

B) The x-coordinates of the points of inflection are x = -3, x = 0 and x = 4. This is because the graph has three separate linear segments, each with a point of inflection at the junction between them.

The graph of y = G(x) consists of a semicircle and three line segments. The function G is defined and differentiable on the closed interval [-7, 5] and satisfies G(0) = 5.

A) To find G(3) and G(-2), we need to identify the y-coordinate of each point on the graph. The y-coordinate of G(3) is 4.5 and the y-coordinate of G(-2) is 4.

B) To find the x-coordinates of each point of inflection of the graph of y = G(x) on the interval -7 < x < 5, we need to identify the points where the graph changes direction. These points are located at the junction between each of the three linear segments. Therefore, the x-coordinates of the points of inflection are x = -3, x = 0 and x = 4.

the complete question is :

The Function G Is Defined And Differentiable On The Closed Interval [-7,5] And Satisfies G(0)=5. The Graph Of Y = G(X), The Derivative Of G, Consist A Semicircle And Three Line Segments, As Shown In The Figure Above. (A) Find G(3) And G(-2). (B) Find The X-Coordinate Of Each Point Of Inflection Of The Graph Of Y =G(X) On The Interval -7 < X < 5. Explain your reasoning.

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The grandfather's age if he is 10 years more than thrice Kapil's age is

3x +10.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Kapil's age is m years.

His Grandfather is 10 years more than thrice Kapil's age.

Thrice Kapil's age = 3x

and, 10 years more than thrice Kapil's age = 3x + 10

Then, the age of Grandfather is

= 3x+ 10

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The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

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Answer:

[tex] \frac{5}{6} + \frac{5}{8} = \frac{4 \times 5 + 3 \times 5}{24} = \frac{20 + 15}{24} = \frac{35}{24} = 1 \frac{11}{24} [/tex]

The rational function that is graphed below include the following: A. f(x) = 1/(x - 1)(x - 5).

In Mathematics, a rational function simply refers to a type of function  which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

Therefore, when x = 1, the rational function become undefined;

f(x) = 1/(x - 1)(x - 5)

f(x) = 1/(1 - 1)(x - 5)

f(x) = 1/0 (undefined).

Also, when x = 5, the rational function is undefined;

f(x) = 1/(x - 1)(x - 5)

f(x) = 1/(x - 1)(5 - 5)

f(x) = 1/0 (undefined).

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