What is 71% written as a fraction?

Answer:

457

Step-by-step explanation:

220+237=457

The expression to represent the cost for any number of people is  $50 + ($9 × x)

The trampoline park charges a fee of $50 to reserve the place. This means that, no matter how many people are going to visit the park, you will have to pay this flat fee of $50 to reserve the place. This fee is fixed and doesn't change with the number of people who will be visiting the park.

In addition to the reservation fee, the park charges $9 per person. So, if there is only one person visiting the park, you will have to pay $50 + $9 = $59. If there are two people visiting the park, you will have to pay $50 + ($9 × 2) = $68. If there are three people visiting the park, you will have to pay $50 + ($9 × 3) = $77, and so on.

To represent the total cost for any number of people, we can use the variable "x" to represent the number of people visiting the park. Then, we can express the total cost as:

Total Cost = Reservation Fee + (Cost per person × Number of people)

Total Cost = $50 + ($9 × x)

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The given question is incomplete, the complete question is:

The trampoline park charges for $50 to reserve the place and then $9 per person. Write an expression to represent the cost for any number of people.

The area of circle C, which passes though points W and Z is 324π square meters.

The center of the outer circle, Point D, is where we want to calculate the area of the circle has a WZ diameter and WC and CZ radii.

That YZ = YD = 10 cm is known.

Let DC = x and CY = 10 - x

The outer circle's radius can be expressed as 8 + 8 + x or 10 + 10 - x, which we can equate to determine its value of x

8 + 8 + x = 10 + 10 - x

Simplify

16 + x = 20 - x

Subtract 16 on both side, we get

x = 4 - x

Add x on both side, we get

2x = 4

Divide by 2 on both side, we get

x = 2

As a result, the circle's radius is

= 8 + 8 + x

= 16 + x

= 16 + 2

= 18 cm

The area of circle = πr²

The area of circle = π(18)²

The area of circle = 324π

Thus, the circle's area is 324π square meters.

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The complete question is:

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ.

What is the area of circle C, which passes though points W and Z?

A. 81

B. 164

C. 324

D. 1296

In a trapezoid, the height is the perpendicular distance between the two parallel bases. It is usually denoted as "h".

In order to determine the height of a trapezoid, we need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions.

The lengths of the bases of a trapezoid are crucial for calculating the height using various formulas. Without the lengths of the bases or any other relevant information, we cannot determine the height of the trapezoid.

To determine the height of a trapezoid, we need more information. The height of a trapezoid is typically defined as the perpendicular distance between the two parallel bases. In this case, we would need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions. Without that information, we cannot determine the height of the trapezoid.

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Answer: 5 units

Step-by-step explanation:

Ross's profit percentage is 17%.

How to calculate the percentages?

To calculate a percentage, you need to divide the part by the whole and then multiply the result by 100. The formula is:

Percentage = (part/whole) x 100

Let's work through the problem step by step:

Ross bought the chair for 1000.

1. He marked it up by 30%, which means he added 30% of 1000 to the original price:

[tex]1000 + 0.3 * 1000 = 1300[/tex]

2. He gave a discount of 10%, which means he subtracted 10% of the marked-up price:

[tex]1300 - 0.1 * 1300 = 1170[/tex]

3. The customer paid 1228.50 inclusive of a 5% tax, which means the original price before tax was:

1228.50 / 1.05 = 1170

4. Ross's profit was the difference between the price he sold the chair for and the price he bought it for:

1170 - 1000 = 170

5. To find the profit percentage, we divide the profit by the cost and multiply by 100:

[tex](170 / 1000) * 100 = 17%[/tex]

Hence, Ross's profit percentage is 17%.

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Answer:

same for both ; slope = -8 and y-intercept is (0, -3)

Step-by-step explanation:

First, lets write both of these in slope-intercept form!

-8x-y=3 is the same as -y = 8x+3, which is the same as y = -8x-3.

8x+y=-3 is the same as y = -8x-3.

As you can see, these equations are the same, which means that they have the same slopes and y-intercepts.

Since the equation for slope intercept form is y= mx + b where m is the slope and b is the y-intercept, this means that the slope is -8 and the y-intercept is (0, -3).

a) If you were to list the sample space for this problem, there would be 36 equally likely outcomes. b) The probability of getting a sum of 9 on both dice is 136. c) The probability of getting a 5 on the first die is 16. d) The probability of getting a sum of 9 on both dice and a 5 on the first die is 1216. e) The probability of getting a sum of 9 on both dice or a 5 on the first die is 736. f) The probability of getting doubles is 16. g) The probability of getting both dice to be odd numbers is 936. h) The probability of getting doubles and both dice to be odd numbers is 136. i) The probability of getting doubles or both dice to be odd numbers is 1036.

a) The sample space of two fair dice would be 6 x 6 = 36 outcomes.

b) To get a sum of 9 on both dice, there is only one possible outcome which is rolling two 4's. Hence, the probability of getting a sum of 9 on both dice is 1/36.

c) To get 5 on the first die, there are 6 possible outcomes because the first die can show 1, 2, 3, 4, 5, or 6. Hence, the probability of getting 5 on the first die is 6/36 or 1/6.

d) The probability of getting both 9 and 5 is 1/6 x 1/36 = 1/216.

e) The probability of getting the sum of 9 on both dice or 5 on the first die is (4/36) + (1/6 - 1/36) = 11/36.

f) There are 6 possible doubles: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). So, the probability of getting doubles is 6/36 or 1/6.

g) To get both dice to be odd numbers, we have to get either (1, 3), (1, 5), (3, 1), (3, 5), (5, 1), (5, 3). So, there are 6 possible outcomes to get both dice to be odd. Hence, the probability of getting both dice to be odd is 6/36 or 1/6.

h) The probability of getting doubles and both dice to be odd numbers is zero because we cannot roll doubles and odd numbers at the same time.

i) The probability of getting doubles or both dice to be odd numbers is the sum of their individual probabilities minus their intersection. Therefore, it is (1/6) + (1/6) - (1/6 x 1/6) = 11/36.

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The experiment has not been repeated.

The answer to the question:1. (a) The sum of squares for the factor is 14.18.2. (b) The number of degrees of freedom for the single factor in the experiment is 1.3. (c) The number of degrees of freedom for the error is 23.4. (d) The mean square for error is 1.64.5. (e) The value of the test statistic is 8.63.6. (f) If the significance level is 0.05, the conclusion is to reject the null hypothesis. Yes.7. (g) The p-value for the test statistic is 0.0086.8. (i) Laura used how many levels of the factor in this experiment? One.9. (j) Laura replicated this experiment how many times? The experiment has not been repeated.A complete randomized design with a single factor was conducted by physics graduate student Laura van Iertia. She is hoping to solve the mystery of the unified theory and complete her dissertation with the results of this experiment. The results of this experiment are summarized in the following ANOVA display:Source df SS MS F Factor 1 14.18 14.18 8.63 Error 23 37.75 1.64 - Total 24 52.93 - The questions and answers based on this experiment are given below:(a) The sum of squares for the factor is 14.18.(b) The number of degrees of freedom for the single factor in the experiment is 1.(c) The number of degrees of freedom for the error is 23.(d) The mean square for error is 1.64.(e) The value of the test statistic is 8.63.(f) If the significance level is 0.05, the conclusion is to reject the null hypothesis. Yes.(g) The p-value for the test statistic is 0.0086.(i) Laura used how many levels of the factor in this experiment? One.(j) Laura replicated this experiment how many times? The experiment has not been repeated.

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Thus, pay of Nicole per hour for his job in dollars per hour is $29.6.

The appraisal of a single item or constituent within a group is known as unit value. The concept of unit value is applicable in a variety of contexts, including building, inventory control, sales, and stock trading.

The unit value is typically the result of dividing the price or worth of a set of things by the total number of items. Doing unit value calculations is crucial since it enables experts to comprehend the price associated with producing each unit.

For the given question: Nicole's earnings

Time (hours)                 10              22             24  

Earnings (dollars)        $296        $651.20     $710.40

10 hours   ----> $296

1 hour    ------> $296 / 10

1 hour ------> $29.6

Thus, pay of Nicole per hour for his job in dollars per hour is $29.6.

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Complete questions:

The table below shows Nicole's earnings on the job.

Time (hours)                 10              22             24  

Earnings (dollars)        $296        $651.20     $710.40

What is Nicole’s rate of pay, in dollars per hour?

the value of the expression -2-(-9)-(-2) is 9.

To solve the expression -2-(-9)-(-2), we can simplify it using the rules of arithmetic:

A double negative becomes a positive. So, -(-9) becomes +9.

Subtracting a negative is the same as adding the positive. So, -(-2) becomes +2.

Using these rules, we can simplify the expression as follows:

-2 - (-9) - (-2) = -2 + 9 + 2

= 9

Therefore, the value of the expression -2-(-9)-(-2) is 9.

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A = 3800(1.0675)11,  will the investment be worth after 14 years.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

A = p(r)t,

where t = years that have passed,

A = amount of money after t years,

p = principal amount of money, and

r = rate of growth (interest plus 1)

Hence, A = 3800(1.0675)11,  will the investment be worth after 14 years.

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The possible combination for three-course meals to be chosen from given the restriction is equal to 16.

The restriction that can only choose either a dessert or an appetizer,

Have two choices for the first course.

For the second course,

Have 4 choices for the soup.

For the third course,

Have 3 choices for the main course,

And since can only choose one of the remaining two categories (dessert or appetizer),

Have 2 choices for the third course.

Using the multiplication principle of counting,

The total combinations of number of three-course meals possible under these conditions by multiplying the number of choices for each course,

= Number of choices for the first course × Number of choices for the second course × Number of choices for the third course

= 2 × 4 × 2

= 16

Therefore, there are 16 possible combination for three-course meals that can be chosen.

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Not answer but helpful:

The required stem-and-leaf plot shown below that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s.

What is stem-and-leaf plots?

A stem-and-leaf plot is a type of data display that helps to show the distribution of a set of numerical data.

here,

For the given data set:

Stem Leaf

0         4

1         1, 3, 3

2         0, 0, 0, 6, 7

3         0, 0, 0, 7

The stem-and-leaf plot shows that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s. The plot makes it easier to see the distribution of the data, rather than just looking at the raw values.

Each box weighs 11.5 pounds. The answer is option B.

Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb".

To solve the problem, we need to use some basic algebraic equations. Let x be the weight of each box in pounds. Then, we can set up the following equation:

5x + 7.5 = 65

Simplifying this equation, we get:

5x = 57.5

Dividing both sides by 5, we get:

x = 11.5

Therefore, each box weighs 11.5 pounds. The answer is option B.

Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb". One pound is equal to 16 ounces, and approximately 0.45 kilograms. It is commonly used to measure the weight of objects, such as people, animals, and goods.

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The missing side of the right triangle is 12 feet

The Pythagorean theorem is a mathematical theorem that states that the length of the longest leg or side of a given triangle is equal to the sum of the squares of the other two sides.

The other two sides of the triangle are the opposite and the adjacent side.

From the information given in the diagram, we have;

Hypotenuse = 37

Opposite side = 35

Adjacent side = x

Substitute the values

37² = 35² + x²

find the squares

1369 = 1225 + x²

make 'x' the subject of formula

x² = 144

Find the square root

x = 12 feet

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Answer: C

Step-by-step explanation:

To firgure out if a graph is a function, do the vertical line test. If the line ahs more than 1 intersection anywhere on the graph, it is not a function.

Answer:

Answer below :)

Step-by-step explanation:

Question 1:

When comparing the two sets of data in the histograms to determine the location with the most consistent temperature, we should use IQR as the measure of variability. The reason for this is that IQR is a robust measure of dispersion that is not affected by outliers and is especially useful when the data is skewed. In this case, the data in Sunny Town is skewed, and therefore the range may not be the best measure of variability. IQR is not affected by the shape of the data and provides a better measure of variability in both symmetric and skewed datasets.

Therefore, the correct answer is: IQR, because Sunny Town is skewed.

Question 2:

To determine which coffee shop typically sells the most amount of coffee per hour, we need to find the measure of center that best represents the data. Both the mean and the median can be used as measures of center, but the appropriate one depends on the distribution of the data. If the data is skewed, the median is more appropriate, and if it is symmetric, the mean is more appropriate.

Comparing the data from the two coffee shops, we find that Coffee Ground has a mean value of about 5 gallons, while Wide Awake has a median value of 4.5 gallons. The mean value for Coffee Ground is higher, but since the data is not given, it is not possible to determine the distribution of the data. Therefore, we should use the median as the measure of center for both coffee shops. In this case, we find that the median for Coffee Ground is 5 gallons, while the median for Wide Awake is 4.5 gallons.

Therefore, the correct answer is: Coffee Ground, with a median value of 5 gallons.

Question 3:

To determine which drive-thru is able to estimate their wait time more consistently, we need to compare the variability of the wait times between the two drive-thrus. We can use either the range or IQR as a measure of variability. The smaller the range or IQR, the more consistent the wait times.

Comparing the box plots for Super Fast Food and Burger Quick, we find that Super Fast Food has a smaller IQR of 4.5 (15.5 - 12), while Burger Quick has an IQR of 14.5 (24 - 9.5). Therefore, Super Fast Food has a more consistent wait time.

Therefore, the correct answer is: Super Fast Food, because it has a smaller IQR.

Question 4:

To determine which bus has the most consistent travel times, we need to compare the variability of the travel times between Bus 47 and Bus 14. We can use either the range or IQR as a measure of variability. The smaller the range or IQR, the more consistent the travel times.

Comparing the line plots for Bus 47 and Bus 14, we find that Bus 14 has a smaller IQR of 6 (18 - 12), while Bus 47 has an IQR of 8 (22 - 14). Therefore, Bus 14 has more consistent travel times.

Therefore, the correct answer is: Bus 14, with an IQR of 6.

Question 5:

To determine which girls' basketball team typically has the tallest players, we need to find the measure of center that best represents the data. Both the mean and the median can be used as measures of center, but the appropriate one depends on the distribution of the data. If the data is skewed, the median is more appropriate, and if it is symmetric, the mean is more appropriate.

Comparing the data from the two girls' basketball teams, we find that the Allstars have a median height of 68 inches, while the Champs have a median height of 67

Answer:

Step-by-step explanation:

The corresponding points of each triangle are equal distance from the line y = -2

Answer:

12.52 ounces

Step-by-step explanation:

Leftovers= 23.9-11.38

=12.52 ounces

After answering the provided question, we can conclude that As a result, equation if another student achieved 100%, the mean score would rise by 0.35%.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

You can use the following formula to compute the new mean score:

(Old Sum of Scores + New Score) / (Old Number of Scores + 1) = New Mean

Where:

Old Score Sum = Mean x Number of Scores

Number of old scores = 25 (the original number of students)

The new score is 100.

Then, compute the previous score sum:

Old Score Sum = Mean x Number of Scores = 0.82 x 25 = 20.5

New Total Scores = Old Total Scores + New Score = 20.5 + 100 = 120.5

Finally, compute the new mean score as follows:

New Mean = New Score Sum / (Old Score Sum + 1) = 120.5 / 26 = 4.6346 or 46.35% (rounded to two decimal places)

As a result, if another student achieved 100%, the mean score would rise by 0.35%.

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Answer:

u ≈ 13.3

Step-by-step explanation:

tan34° = [tex]\frac{9}{u}[/tex] ( multiply both sides by u )

u × tan34° = 9 ( divide both sides by tan34° )

u = [tex]\frac{9}{tan34}[/tex] ≈ 13.3 ( to 1 decimal place )

Number of apples that teacher has now is zero

Subtraction is a mathematical operation that involves taking away one quantity from another. It is one of the four basic arithmetic operations, along with addition, multiplication, and division. Subtraction is usually represented using the "-" symbol.

If the teacher had 1 apple and gave 1 apple to Tommy, then the total number of apples the teacher has now can be calculated using subtraction

Teacher's apples after giving one to Tommy = Teacher's apples before - Apples given to Tommy

Teacher's apples after giving one to Tommy = 1 - 1

Teacher's apples after giving one to Tommy = 0

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The given function f(x) = 43 + 5x² - x + 7x³ is a polynomial function.

Standard form:  f(x) = 7x³ + 5x² - x + 43; Leading coefficient = 7; constant = 43; degree = 3; type - cubic polynomial.

In mathematics, there are many different kinds of functions. When studying functions as well as their applications, it's critical to be consistent with the names we use for various kinds of functions. A form of function is frequently described by more than one phrase.

A quadratic, cubic, quartic, and other functions involving purely non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

Given polynomial:

f(x) = 43 + 5x² - x + 7x³

Arrange in standard form:  ax³ + bx² + cx + d

Thus,

Standard form:  f(x) = 7x³ + 5x² - x + 43;

Leading coefficient = 7;

constant = 43;

degree = 3;

type - cubic polynomial.

Thus, the given function f(x) = 43 + 5x² - x + 7x³ is a polynomial function.

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Answer:

Carl used a total of 3 liters of coffee in all.

Step-by-step explanation:

There are 1000 milliliters (mL) in a liter, so to convert from milliliters to liters, you need to divide by 1000.

To find the total amount of coffee used, you can multiply the number of mugs by the volume of each mug:

12 mugs x 250 mL/mug = 3000 mL

To convert this to liters, you divide by 1000:

3000 mL ÷ 1000 = 3 L

Therefore, Carl used 3 liters of coffee in all.

Answer:

Carl used 3 liters of coffee in all

Step-by-step explanation:

Step 1: multiply 12 by 250 to determine how mL are in all the mugs of coffee which gets you 3000

Step 2 convert: There are 1000 milliliters (mL) in a liter, so to convert from milliliters to liters, you need to divide by 1000. So divide 3000 by 1000 to find how much liters Carl uses in all. Which gets you 3

Therefore, Carl used 3 liters of coffee in all

Answer:

48

Step-by-step explanation:

a² - 16

a = 8

8² - 16 = 64 - 16 = 48

So, the answer is 48

The two inference we can make from this data is the proportion of females who prefer makeup and the significant difference in makeup preference between different groups of female.

Based on the sample of 100 females regarding makeup preference, Sam could make the following inferences:

1. The proportion of females who prefer makeup can be estimated. Sam can calculate the proportion of females in her sample who preferred makeup and use that as an estimate of the proportion in the population. For example, if 70 out of the 100 females in the sample preferred makeup, then Sam could estimate that 70% of females in the population prefer makeup.

2. Sam could also determine if there is a significant difference in makeup preference between different groups of females. For example, she could compare the proportion of females who prefer makeup in different age groups or different ethnic groups.

To find out how many out of 375 people prefer lipstick, we need to know the proportion of people in the sample who prefer lipstick. If this information is not available, we cannot accurately determine the number of people who prefer lipstick out of 375.

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A motorboat with a speed of 10 km/hr in still water travels 35 km upstream on a river and 18 km up an adjacent stream for 8 hours. The speed of the river's current is approximately 5.55 km/hr.

Let's call the speed of the stream's current "v" km/hr, and the speed of the river's current "v - 1" km/hr (since it is 1 km/hr slower than the stream's current). Let's also call the speed of the motorboat in still water "s" km/hr.

When the motorboat is traveling upstream (against the current), its effective speed is:

s - (v - 1)

When the motorboat is traveling downstream (with the current), its effective speed is:

s + (v - 1)

Using the formula distance = speed x time, we can set up two equations based on the distances traveled upstream and downstream:

35 = (s - (v - 1))t1

18 = (s + (v - 1))t2

We also know that the total time spent on the trip is 8 hours:

t1 + t2 = 8

We can use the first equation to solve for t1:

t1 = 35 / (s - (v - 1))

We can use the second equation to solve for t2:

t2 = 18 / (s + (v - 1))

Substituting these expressions for t1 and t2 into the third equation, we get:

35 / (s - (v - 1)) + 18 / (s + (v - 1)) = 8

Multiplying both sides by (s - (v - 1))(s + (v - 1)), we get:

35(s + (v - 1)) + 18(s - (v - 1)) = 8(s - (v - 1))(s + (v - 1))

Expanding and simplifying, we get:

53s - 17v + 17 = 4s^2 - 4v^2 + 6s + 6v

Rearranging and simplifying, we get:

4s^2 - 47s + 4v^2 + 23v - 17 = 0

We have two unknowns (s and v), so we need another equation. We can use the fact that the speed of the motorboat in still water is 10 km/hr:

s - v = 10

We can solve this equation for s:

s = v + 10

Substituting this expression for s into the previous equation, we get:

4(v + 10)^2 - 47(v + 10) + 4v^2 + 23v - 17 = 0

Expanding and simplifying, we get:

4v^2 + 74v - 477 = 0

Solving this quadratic equation using the quadratic formula, we get:

v ≈ 5.55 km/hr (rounded to two decimal places)

Therefore, the speed of the river's current is approximately 5.55 km/hr.

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Answer: Width of the moving truck is 1.5 ft.

Step-by-step explanation:

Step 1: Volume of the moving truck = 300 ft³, length = 25 ft and height = 8ft. Since the truck is in the shape of a cuboid, use the formula of volume of the cuboid to find width.

⇒ Volume of truck = length × width × height

⇒ 300 = 25 × width × 8

⇒ 300 = 200 × width

⇒ width = 300/200 = 3/2 = 1.5 ft

Answer:

a = 4, b = 5

Step-by-step explanation:

we need to complete the square to get it in that form.

x^2 - 8x + 21

= x^2 - 8x + 16 + 5

= (x-4)^2 + 5

a = 4, b = 5