Jeremy is shopping online for skating equipment. He buys a longboard complete with trucks and wheels for $146.25. At checkout, Jeremy gets a discount of $21 on his purchase. The final amount that Jeremy will be billed is $
.

Answer:

1951.1

Step-by-step explanation:

Just add her money up 920.65 + 1030.45= 1951.1

Answer:

The area is 49.5 cm^2

Step-by-step explanation:

To find the area of the sector, we are going to use the formula for the area of a sector

Mathematically, we have this as;

A = theta/360 * pi * r^2

r = 9 cm and theta = 70

Substituting these values

A = 70/360 * 3.142 * 9^2

A = 49.5 cm^2

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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The quotient of the numbers 4.08 divided by 5 is 0.816

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

The quotient expression from the question is given as

4.08 divided by 5

This means that

4.08 ÷ 5

Multiply the factors by 100

So, we have the following representation

(4.08 * 100) ÷ (5 * 100)

Rewrite as

(4.08 * 100)/(5 * 100)

Evaluate the products

408/(5 * 100)

Divide 408 by 5

81.6/100

Divide 81.6 by 100

0.816

Hence, the solution is 0.816

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Ron’s paycheck last week was $121.19. Given that Ron's paycheck this week was $17.43 less than his paycheck last week.

His paycheck this week was $103.76.

To find how much was Ron’s paycheck last week, we need to use the following formula. Let Ron’s paycheck last week be x. Then,x - 17.43 = 103.76.

To find x, add 17.43 to both sides of the equation, then we get;x - 17.43 + 17.43 = 103.76 + 17.43x = 121.19

Therefore, Ron’s paycheck last week was $121.19.Hence, the required answer is $121.19.

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Answer:

15 I just stared so I am bad but I think I am correct

Answer:

-21x + 3y + 10

Step-by-step explanation:

10 - 4x + 3y - 17x

= -4x - 17x + 3y + 10

= -21x + 3y + 10

Answer:

-21x + 3y + 10

Given the above image, the estimated scale factor used in the dilation are given as follows:

Dilation A -  3/4

Dilation B - 1/4

Dilation C - 1/2

The scale factor is a metric for figures with similar appearances but differing scales or measurements. Assume two circles appear identical but have different radii. The scale factor specifies how much larger or smaller a figure is than the original figure.

When the new and original dimensions are specified, the scaling factor may be determined. The fundamental formula for determining a figure's scale factor is: Scale factor = Dimension of the new shape ÷ Dimension of the old shape.

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Richard earned a cumulative GPA of 2.5 in all four semesters.

Here, we know that the cumulative GPA for the first 3 semesters is 2.0

He had earned 42 credits in total in all three semesters.

Cumulative GPA = Total points earned/credits rewarded

Hence,

Total points earned in 3 semestes= 2 X 42

= 84 points

In the fourth semester,

he had earned 14 credits with a GPA of 4.0

Hence total points earned = 4 X 14

= 56 points

Therefore, total points earned in all four semesters = 84 + 56 points

140 points

Total credits = 14 + 42

= 56

Hence, the cumulative GPA of all 4 semesters

= 140/56

= 2.5 points.

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The answer is:

y=2x+3

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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In the following question, among the conditions given, Menu 1:Cost per person: $20, Total cost for 50 people: $20 x 50 = $1000, we can afford Menu 1 within our budget, and the total cost for the food, including sales tax and tip, is $1209.

First, we need to determine the total amount of the budget available after applying the 10% discount:

Budget after discount = $1200 - (10% x $1200) = $1080

Next, we need to consider the three menus offered by the catering company:

Menu 1:

Cost per person: $20

Total cost for 50 people: $20 x 50 = $1000

Menu 2:

Cost per person: $25

Total cost for 50 people: $25 x 50 = $1250

Menu 3:

Cost per person: $30

Total cost for 50 people: $30 x 50 = $1500

Since Menu 1 is the only option that fits within our budget, we will choose that menu.

Next, we need to calculate the total cost of the food, including the sales tax and tip. To do this, we'll need to add the sales tax and tip percentages to the original cost of the food:

Sales tax: 8.875%

Tip: 15%

Total cost per person after tax and tip = cost per person + (sales tax x cost per person) + (tip x cost per person)

Total cost per person after tax and tip = $20 + (8.875% x $20) + (15% x $20) = $24.18

Total cost for 50 people after tax and tip = $24.18 x 50 = $1209

Therefore, the total cost of the food, including sales tax and tip, for Menu 1 is $1209.

To summarize our calculations:

Budget after discount: $1080

Total cost for Menu 1: $1000

Total cost per person after tax and tip: $24.18

Total cost for 50 people after tax and tip: $1209

So, we can afford Menu 1 within our budget, and the total cost for the food, including sales tax and tip, is $1209.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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The percentage of value-added time in a trip to the emergency room is 15.83%.

Given the following data:

Time taken by triage nurse before assessment = 14 minutes

Average time taken for assessment by triage nurse = 5 minutes

Time taken before examination room = 79 minutes

Time taken in the examination room for vitals and notes by nurse = 11 minutes

Time taken before the doctor sees the patient = 22 minutes

Average time taken by the doctor for treatment = 17 minutes

Time taken for the nurse to come to discuss post-treatment instructions = 6 minutes

Time taken to review the instructions with the patient = 4 minutes

Let us first calculate the total time taken,

Total Time = Time before examination room + time in examination room + time after treatment + time taken by the triage nurse

Total Time = 79 + 11 + 22 + 17 + 6 + 4

                  = 139 minutes

Now, let us calculate the total time spent on assessment and treatment.

This will include the time taken by the triage nurse and the doctor.

Total Time Spent on Assessment and Treatment = Time taken by triage nurse + time taken by the doctor

Total Time Spent on Assessment and Treatment = 5 + 17

                                                                                  = 22 minutes

Now, we can calculate the percentage of value-added time as follows,

Percentage of Value-Added Time = Total Time Spent on Assessment and Treatment / Total Time * 100

Percentage of Value-Added Time = 22 / 139 * 100

Percentage of Value-Added Time = 15.83%

Therefore, the percentage of value-added time in a trip to the emergency room is 15.83%.

Rounding off this value to 2 decimal places, we get the final answer as 15.83%.

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Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:

Step-by-step explanation:

-5/12 = 5/-12

yes

a) The relation R from set A={13, 17, 29, 45} to set B={4, 6, 22, 60} is {(13,4), (13,6), (13,60), (17,6), (17,22), (29,22)}.

b) R is a function from A to B.

a) We need to find all pairs of elements (a, b) such that aRb, where a is an element of set A and b is an element of set B. According to the definition of R, aRb if and only if a+b is a prime number.

Let's start with the first element of set A, which is 13. We need to find all elements of set B that satisfy the condition a+b is a prime number, where a=13. We have:

13+4=17 (prime)

13+6=19 (prime)

13+22=35 (not prime)

13+60=73 (prime)

So, for a=13, the elements of set B that satisfy the condition are 4, 6, and 60. We can repeat this process for the other elements of set A to find all pairs of elements (a, b) such that aRb. The results are:

For a=17, the elements of set B that satisfy the condition are 6 and 22.

For a=29, the element of set B that satisfies the condition is 22.

For a=45, there are no elements of set B that satisfy the condition.

Therefore, the relation R from set A to set B is {(13,4), (13,6), (13,60), (17,6), (17,22), (29,22)}.

b) To determine if R is a function from A to B, we need to check if each element of set A is related to at most one element of set B. In other words, we need to check if there are any duplicate elements in the first coordinate of the ordered pairs in R.

In our case, there are no duplicates in the first coordinate, so each element of set A is related to at most one element of set B. Therefore, R is a function from A to B.

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Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

The common ratio is 5

Step-by-step explanation:

To find the ratio, take the second term and divide by the first term

85/17 = 5

To verify take the third term and divide by  the second term

425/85 =5

The common ratio is 5

Answer:

x=−4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

Two solutions were found :

x=-4

x=14

Answer: $571.20

Step-by-step explanation:

In this question, you're gonna use multiplication to figure out the tax and the tip. 

If the dinner is $476 and the tax is 5%, multiply the two to figure out how much the sales tax is. 

476 • 0.05 = 23.80

Then, multiply the $476 and 15% to figure out the tip. 

476 • .15 = 71.40

Add them all up. 

476 + 71.40 + 23.80 = 571.20

In this case, the Striton family paid $571.20 altogether.

Answer:

B

Step-by-step explanation:

all the other ones are either 50 - 12 or 50 + 12, but B is the total amount of money (x) minus 50($) is 12($).

not sure if that makes sense.

Answer:

Step-by-step explanation:

The K-Means algorithm terminates when. a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

The K-Means algorithm terminates when

A) a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

B) the cluster centers for the current iteration are identical to the cluster centers for the previous iteration.

C) the number of instances in each cluster for the current iteration is identical to the number of instances in each cluster of the previous iteration.

D) the number of clusters formed for the current iteration is identical to the number of clusters formed in the previous iteration.

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Answer:

Communitave Property

Step-by-step explanation:

Hope this helps!<3°

The least number of computers that must be shipped is 10.

In order to determine the least number of computers that must be shipped, the equation that represents the cost of shipping should be equal to the selling price of the computers.

3000 + 100x = 400x

In order to determine the value of x, take the following steps:

3000 = 400x - 100x

3000 = 300x

x = 3000 / 300

x = 10

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Answer:

5x+6

Step-by-step explanation:

Im not sure if its 3*2 (like multiplying) or 3x times 2?