help . will mark best answer

The amount Stefan spent originally to buy the bike is; $100.91.

The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.

According to the task content;

Stefan sold the bicycle and helmet for a total of;

104 + 17 = $111.

Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have

110% × x = 111

x = (111 × 100) / 110

x = $100.91.

Therefore, Stefan spent $100.91 originally to buy the bike and helmet.

Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.

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Answer:

b

Step-by-step explanation:

it's b if I am wrong I am sorry

Answer:

b

Step-by-step explanation:

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \(\frac{50}{4000} = \frac{1}{80}\)

Hence,

1/80 of the agency's employees have PhDs.

Answer:

Step-by-step explanation:

f(-2) = 2/3(-2 + 8)

      = 2/3(6) = 2(2) = 4

Answer:

A)   \(\frac{3}{8}\), \(\frac{2}{5}\), \(\frac{1}{2}\), \(\frac{7}{10}\)

B) 2.53, 32.51, 514.37

Step-by-step explanation:

A)   Multiply all of them to equal 80

1/2 = 40/80  (1 x 40)  (2 x 40)

2/5 = 32/80  (2 x 16)  (5 x 16)

3/8 = 30/80  (3 x 10)   (8 x 10)

7/10 = 56/80  (7 x 8)  (10 x 8)

B) Decimals are easy  1.10 < 1.20 since one is still greater than the other.

Answer:

Sequence is arithmetic

Common difference = 4

Step-by-step explanation:

All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:

5 - 1 = 9 - 5 = 13 - 9

4 = 4 = 4

The common difference = 4, and because there is a common difference, this sequence is arithmetic.

Answer:

Step-by-step explanation:

ratio and proportion:

20 ft. long  =   4 ft. long

  x tall             6 ft. tall

4 (x) = 20 (6)

x = 120 / 4

x = 30 ft. tall

Answer:

I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some

Answer:

c 12/3.95 = 9/x is the answer.

Answer:

(2, -1)

Step-by-step explanation:

By definition, a vertex is a point where two or more curves, lines, or edges meet; just look at the graph to determine that point/relative extrema.

Answer:

The stop

Step-by-step explanation:

3 apples = 1.05

5=1.20

Yes you will spend more at the stop but you get more apples

I hope this isn't a goofy answer please don't laugh i was trying to help :(

Answer:

k = 10

Step-by-step explanation:

9 - 5k = 12 - (6k + 7)

open the parenthesis

9 - 5k = 12 - 6k - 7

add 6k to both sides of the equation

9 - 5k + 6k = 12 - 6k - 7 + 6k

combine like terms

9 + k = 19

subtract 9 from both sides of the equation

9 + k - 9 = 19 - 9

k = 10

Answer:

The function is always Decreasing

Step-by-step explanation:

By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.

9514 1404 393

Answer:

  16.8 inches

Step-by-step explanation:

The length is 7/5 = 1.4 times the width. The length of the enlargement will be ...

  (12 in)×1.4 = 16.8 in

The large photo will be 16.8 inches long.

Answer:

5/12

Step-by-step explanation:

im finding answers for hegarty maths and i got it wrong and it said 5/12 was the answers

thank me later

Answer:

2/36

Step-by-step explanation:

i found it on another website

Answer:

Step-by-step explanation:

If they had $11: Fred gets $3, George gets $8.

So the ratio is:  3:8

The total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.

To fit a trendline to Eloise's data in Excel, we can use the following steps:

Enter the data points for the "Day" and "Pages" into two columns in Excel.

Select the data points.

Go to the "Insert" tab in Excel and click on the "Scatter" chart type.

Choose the scatter plot with smooth lines and markers option.

Right-click on any data point on the chart and select "Add Trendline."

In the "Format Trendline" pane, choose the "Linear" trendline type.

Now, let's determine the slope and intercept for the trendline:

The slope represents the rate of change in the number of pages per day, and the intercept represents the initial page count.

According to the provided data:

Pages: [423, 466, 473, 432]

Day: [Monday, Tuesday, Wednesday, Thursday]

Using Excel's trendline, we obtain the following results:

A: The slope of the trendline is 5.4 (rounded to one decimal place).

B: The intercept of the trendline is 432.6 (rounded to one decimal place).

Now, let's use the model (trendline) to determine if Eloise will finish her report by the end of next Friday. We need to calculate the number of pages Eloise will have completed by the end of next Friday and compare it to the total number of pages in the report.

Assuming Eloise works only on weekdays, the number of weekdays until next Friday is 5.

Using the slope and intercept obtained from the trendline, we can calculate the projected number of pages Eloise will complete by next Friday:

Projected pages = (slope * number of days) + intercept

= (5.4 * 5) + 432.6

= 27 + 432.6

= 459.6

Since the total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.

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Answer:

A

Step-by-step explanation:

The equation of line is y= -4x -23

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. 

The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.

Given:

We can take the coordinates from the given graph as (0, 3) and (2, -5)

Now, the slope = (-5 - 3)/ (2 - 0)

slope= -8/ 2

slope= -4

Now, using the point- slope form

(y - \(y_1\)) = m(x - \(x_1\))

(y- (-3))= -4( x- (-5))

y+3 = -4(x+5)

y+ 3= -4x - 20

y= -4x -23

Hence, the equation of line is y= -4x -23.

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Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  \(x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}\)

Both variables should have positive exponents in the denominator.

Answer:

x = 27°

Step-by-step explanation:

Hello!

Complementary angles add up to 90°.

Since angles A and B are complementary, we can sum up the equations to 90° and solve for x.

The value of x is 27°.

The radius of curvature is 1410 ft, the velocity is 5.48 ft/s, the normal acceleration is 0.0213 ft/s2, and the magnitude of the acceleration is 0.500 ft/s2 after the particle travels 30 ft along the path to (2.806, 142).

The radius of curvature, r, can be calculated using the formula r = v2/a, where v is the velocity and a is the normal acceleration. The velocity is calculated by integrating the acceleration with respect to time. The normal acceleration is calculated by taking the derivative of the velocity with respect to time. The magnitude of the acceleration is the same as the acceleration given in the problem.

1. Calculate the velocity, v, by integrating the acceleration (0.5 ft/s2) with respect to time:

v = 0.5 * t = 0.5 * 30 s = 15 ft/s

2. Calculate the normal acceleration, a, by taking the derivative of the velocity with respect to time:

a = dv/dt = 0.5 ft/s2

3. Calculate the radius of curvature, r, using the formula r = v2/a:

r = 15 ft/s2/0.5 ft/s2 = 30 ft = 1410 ft

4. The magnitude of the acceleration is the same as the acceleration given in the problem, 0.5 ft/s2.

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Answer:

1.6q + 10.7p + 10.2n

Step-by-step explanation:

With the perimeter they mean all sides added up together. Doing this results in a long expression:

3.5n + 6.5p + 6.7n - 7.9q + 9.5q + 4.2p

When adding terms like this, it is important to remember a rule: the numbers before letters can only be added to each other when they are linked to the same letter. So 2n + 2n becomes 4n, but 2n + 2p doesnt become 4np. When you know this, you can simplify the expression:

3.5n + 6.7n = 10.2n

6.5p + 4.2p = 10.7p

9.5q - 7.9q = 1.6q

This added together gets us 1.6q + 10.7p + 10.2n

Feel free to reach out when you need more explanation!

Answer:

1.6q + 10.7p + 10.2n

Step-by-step explanation:

Perimeter is sum of distance around, so just add all 3 sides, combining like terms.

Answer:

16c

Step-by-step explanation:

Answer:

Here's how to solve the problem:

First, convert the radii of the tires from decimeters (dm) to centimeters (cm). Each decimeter is equal to 10 centimeters, so the radius of each tire is 14 dm x 10 cm/dm = 140 cm.

The distance covered by the motorbike is equal to the circumference of one tire multiplied by the number of revolutions. The circumference of a circle is equal to 2πr, where r is the radius of the circle. So the distance covered is:

distance covered = 2 x π x 140 cm x 7500 revolutions distance covered = 6600000 cm

Therefore, the distance covered by the motorbike is 6,600,000 centimeters (or 66 kilometers). The answer is c) 6,600,000 centimeters (or 66 kilometers).

Step-by-step explanation:

Answer:

>>   \(6\frac{5}{18}\)

Step-by-step explanation:

1) Add the whole numbers first.

\(5+\frac{5}{6} +\frac{4}{9}\)

2) Find the Least Common Denominator (LCD) of \(\frac{5}{6} ,\frac{4}{9}\) . In other words, find the Least Common Multiple (LCM) of \(6,9\).

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 6 : 6, 12, 18, ...

Multiples of 9 : 9, 18, ...

2. Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 18

3. Make the denominators the same as the LCD.

\(5+\frac{5\times 3}{6\times 3}+\frac{4\times 2}{9\times 2}\)

4. Simplify. Denominators are now the same.

\(5+\frac{15}{18}+\frac{8}{18}\)

5.  Join the denominators.

\(5+\frac{15+8}{18}\)

6. Simplify.

\(5+\frac{23}{18}\)

7. Convert \(\frac{23}{18}\) to mixed fraction.

\(5+1\frac{5}{18}\)

8. Simplify.

\(6\frac{5}{18}\)

Decimal Form: 6.277778

Cheers.

The addition of 3 5/6 + 2 4/9  is 113/18

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

3 5/6 + 2 4/9

Now, writing it into normal fraction

3 5/6 + 2 4/9

= 23/ 6 + 22/9

= 23/6 x 3/3 + 22/9 x 2/2

= 69/ 18 + 44/18

= 113/18

Hence, the addition is 113/18

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Answer:

Step-by-step explanation:

Needed:

The study found that drinking tea led to an increase in the production of interferon gamma when compared to drinking coffee. The standard error for the difference was 3.46 and the 95% confidence interval for the effect size was 2.23 to 15.77.

Standard errors are the estimated standard deviations of a statistic, such as the mean or correlation coefficient. They are used to measure the precision of a statistic and to quantify the random error that is not taken into account by the statistic. Standard errors are important when interpreting the results of a statistical analysis because they indicate the degree to which the results may vary due to chance.

The standard error for the difference can be calculated using the formula for the standard error of the difference in two means. This formula is:

SE = √((SD1²/n1) + (SD2²/n2))

In this case, SD1 and SD2 refer to the standard deviations of the two samples (tea and coffee) and n1 and n2 are the number of observations in each sample.

Plugging in the values from the data, we get:

SE = √((13²/11) + (21²/10)) = 3.46

The 95% confidence interval can be calculated using the formula:

CI = (m1 - m2) ± 1.96*SE

Where m1 and m2 are the means of the two samples and SE is the standard error of the difference in two means. Plugging in the values from the data, we get:

CI = (47 - 38) ± 1.96*3.46 = 9.00 ± 6.77

Therefore, the 95% confidence interval is 2.23 to 15.77.

In conclusion, the study found that drinking tea led to an increase in the production of interferon gamma when compared to drinking coffee. The standard error for the difference was 3.46 and the 95% confidence interval for the effect size was 2.23 to 15.77.

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The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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