jannele drove 60 km in 5/6 hour and bernie drove 54 km 2/3 hour who drove faster and how many times fast

Answers

Answer 1

Bonjour,

v1 = 60/(5/6) = 60 x 6/5 = 360/5 = 72km/h

v2 = 54/(2/3) = 54 x 3/2 = 162/2 = 81km/h

it's Bernie


Related Questions

A company is making concrete blocks. The blocks are in the form of right trapezoidal prisms and have the dimensions shown. What is the volume of one block? Show your work

Please help I give 40 brainly

Answers

Answer:

9180 (cm³)

Step-by-step explanation:

area of cross-section (trapezium) = 0.5 X (12 + 22) X 9

= 0.5 X 34 X 9 = 153 cm²

then multiply that by the length (60)

153 X 60 = 9180 (cm³)

A researcher wants to know the mean weight of all garbage being discarded per household in Gallup, NM. A random sample of n = 9 households is selected and the garbage weighed. The following data is obtained: 10.8, 17.2, 23.1, 27.8, 27.9, 31.0, 33.3, 37.6, 44.5.

Find a) the sample mean________. b) the sample median ________. c) the sample mode ________. d. the sample standard deviation (hint: divide by n -1) __________e) the sample variance _________. f) the sample range ______

Operating at the 90% confidence level:

g) what is the Margin of Error E (show work)

h) Find the 90% confidence interval for the mean weight of all garbage discarded per household in Gallup, NM. (show work)

i) What is the probability that the true population mean lies outside the interval in h) ______.

Operating at the 98% Confidence Level

k) What is the Margin of Error E (show work)

m) Find a 98% confidence interval for the mean weight of all garbage discarded per household in Gallup, NM.

o)What is the probability that the true population mean lies outside the interval in m) _____

Answers

Answer: what subject, and i got you.

Step-by-step explanation:

For the following stock investment, find (a) the total
purchase price, (b) the total dividend amount, (c) the
capital gain or loss, (d) the total return, and (e) the
percentage return. Ignore broker and SEC fees.
(a) What is the total purchase price?
4
Number of shares
Purchase price per share
Dividend per share
Sale price per share
60
$40
$2
$87

Answers

Answer:

can you be more clear

Step-by-step explanation:

what exactly does question need

(When a side has a measurement that is a mixed number, what do you need to do to use it in the formula: area = length x width?)

Answers

The sides of the rectangle should be in improper fractions, to calculate the area.

When a side has a measurement that is a mixed number, it's recommended to convert it to an improper fraction before using it in the formula for area.

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction part and add the numerator.

Then, you put the result over the original denominator.

Once you have the sides of the rectangle as improper fractions, you can proceed to calculate the area using the formula: area = length x width.

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Annabel's water bottle holds 6 cups of water. How many fluid
ounces does it hold?

Answers

The amount of fluid ounces of water the water bottle can hold is 48 fluid ounces.

How to find the volume of water in fluid ounces?

Annabel's water bottle holds 6 cups of water.  Therefore, the amount in fluid ounces the bottle water can hold can be calculated as follows:

Therefore,

1 cup = 8 fluid ounces

6 cups = ?

cross multiply

Hence,

number of fluid ounces of water the water bottle can hold = 8 × 6

number of fluid ounces of water the water bottle can hold = 48 fluid ounces.

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Solids Applied Problem
Find the volume of 1 coin from the stack below. Each coin has a radius of 0.5 in and the coins
are offset by 1 in. The slant is 7in long. Show your work.


Answers

The amount of volume of 1 coin in the stack underneath is 0.433 cm³. The distance between the coins is 1 in, and each coin having a radius approximately 0.5 in. 7 inches make up the tilt.

Any three-dimensional solid's volume is the area it takes up. The volume of these solids include cubes, cuboids, cones, cylinders, and spheres. Different shapes have different volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylindrical objects, cones, and and more.

V= πD²×h/4

  =π0.5²×7/4

   = 0.433 cm³

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a. If this trend continues, predict the percent of U.S.house- holds with an Internet subscription in 2025. graph it

b.Explain any issues with your answer to part c.​

Answers

The requried, predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.

To find the number of subscriptions in the year 2020, we need to find the value of y when x = 10 (since x is the number of years after 2010).

Substituting x = 10 into the equation y = 1.56x + 72.7, we get:

y = 1.56(10) + 72.7

y = 15.6 + 72.7

y = 88.3

Therefore, the predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.

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The triangular prism below has a height of 13.4 units3 and a volume of 536 units

Find the area of one of its bases.

Answers

Answer: 40

Step-by-step explanation:

Help with te question pls.P.S. got reward

Answers

The amount of water that flows into the tank each minute is given as follows:

0.56 cm.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

45 cm, 50 cm and 38 cm.

Hence the volume of the tank is given as follows:

V = 45 x 50 x 38

V = 85,500 cm³.

Three-fifths of the volume is given as follows:

3 x 85500/5 = 51300 cm³.

The height associated with 3/5 of the volume is given as follows:

50 x 38 x h = 51300

h = 51300/(50 x 38)

h = 27 cm.

This means that 27 - 13 = 14 cm flew into the tank in 25 minutes, hence the minute rate is given as follows:

14/25 = 0.56 cm.

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If Richard's monthly deposit fee is R69, 95 per R100 what would be the total bank charges for R4200?​

Answers

If Richard's monthly deposit fee is R69.95 per R100, then the fee as a percentage of the deposit amount is 69.95%.

To calculate the total bank charges for R4200, we need to find the product of the deposit amount and the deposit fee percentage:

Total bank charges = R4200 x 69.95%
Total bank charges = R4200 x 0.6995
Total bank charges = R2937.90

Therefore, the total bank charges for a deposit of R4200 with a deposit fee of R69.95 per R100 is R2937.90.

Enter a positive value for n that makes this statement true: 1 x n is greater than 1 but less than 2

Answers

A positive value for n that makes the statement true is n = 1.5.

We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.

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Use the drawing tool(s) to form correct answer on the provided plot
Shawna oversees tour guides at a community college.each week she selects one day to record the number of tours each guide leads for prospective students. The results from last week are presented in the box plot below.


The data for this week is shown below and gives the number of tours led by each tour guide
{ 3,5,3,4,9,7,10,7,3,6,2,5}

Complete the box plot based on the data given above.

Answers

A construction of the box-and-whisker plot based on the data is shown below.

What is a box-and-whisker plot?

In Mathematics and Statistics, a box plot is also known as a box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the data (information) provided above, the five-number summary for the given data set include the following:

Minimum (Min) = 2.First quartile (Q₁) = 3.Median (Med) = 5.Third quartile (Q₃) = 7.Maximum (Max) = 10.

In conclusion, we can reasonably infer and logically deduce that the maximum number is 10 while the minimum number is 2, and the median is equal to 5.

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6th grade of a school with a total of 90 students. In the year-end summary, the number of good students is equal to 1/6 of the students in the whole grade, the number of good students is equal to 40 of the students in the whole block, the average number of students is equal to 1/3 of the number of students in the whole grade. is the weak student again, calculate the number of students in each category

Answers

There are a total of 15 good students, 35 weak and 40 in bad shape if number of good students are fraction of 1/6th of total students.

As we know that the total number of students are 90.

Good students are fraction of 1/6th of total students.

Good students= 1/6x90

Good students=15

There are 40 good students in a whole block, so X = 40.

In the whole grade, average number of students is 1/3 of students in whole grade.

Students in each class = 1/3x90

Students in each class = 30

Students who are not good in economics and government = 90-40

Students who are not good in economics and government = 50

As the total number of students is sum of good students and weak students.

15+Weak students =90-40

15+Weak students=50

Weak students=50-15

Weak students=35    

So, total of 15 good students, 35 weak and 40 in bad shape.

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The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of a checking account is defined to be the balance in the checking account at 2:00pm.
The bank has found that for all personal checking accounts the mean of all the daily balances is $ 900 and the standard deviation is $175.

In addition, the distribution of personal checking account daily balances can be approximated very well with a normal model.

Answers

What is the probability that a randomly selected personal checking account will have a daily balance of less than $750?

To answer this question, we need to calculate the z-score for a daily balance of $750 using the mean and standard deviation provided:

z = (x - μ) / σ = (750 - 900) / 175 = -0.857

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -0.857:

P(z < -0.857) = 0.1952

Therefore, the probability that a randomly selected personal checking account will have a daily balance of less than $750 is approximately 0.1952 or 19.52%.

For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!​

Answers

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is [tex]\sqrt{12}[/tex]. Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

[tex]f(x)=\sqrt{x+4}[/tex]

Substitute 8

[tex]f(8)=\sqrt{8+4}[/tex]

Add in the radical

[tex]\sqrt{12}[/tex]

The value of the function is sqrt(12).

Rounded to the nearest hundredth: [tex]3.46[/tex]

Can someone help me please

Answers

After using Gauss-Jordon elimination method, the solution for the system of equation is as follows;

[tex]\left[\begin{array}{cccc}1&0&0&-1\\0&1&0&-3\\0&0&1&-2\end{array}\right][/tex]

How do you find the solution for the system of equation using the elimination method by Gauss-Jordon?

To solve the system of equation, its needs us to use the Gauss-Jordon elimination method. Therefore, the matrix

- 5  7  7  -30

1  -4   4    3

2   -4   6   -2  will be reduced to its echelon form as follows;

 R₁ ÷ 5                                   R₂ - R₁                       R₃ - 2× R₁

1  −1.4 −1.4   6                   1  −1.4 −1.4   6                1  −1.4 −1.4   6        

1   −4    4    3                    0  2.6  5.4  -3                0  2.6  5.4  -3

2 −4    6  −2                     2 −4    6  −2                  0  −1.2  8.8 −14

   R₂  ÷ -2.6                          R₃ - 1.2 R₂

1    −1.4    −1.4     6                1    −1.4    −1.4     6

0     1    -2.077  1.154            0     1    -2.077  1.154

0  −1.2     8.8    −14              0    0      1         -2

  R₁ - 1.4R₃                                 R₂ - 2.077R₃                 R₁ - 1.4R₂

1  -1.4  0  3.2                              1  -1.4  0  3.2               1   0    0   -1

0   1  -2.077  1.154                     0   1     0   -3               0   1     0   -3

0  0   1  -2                                  0   0    1    -2               0   0    1    -2          

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#11) Determine the period of the following trigonometric function y =
a) 360 b) 180°
c) 360
c) 120
d) 60*

Answers

The solution is: the period for the graph of y = cos (0) is:

c.360

We have the following equation:

y = cos (0)

The first thing you should know is that the period of a function is that value for which the function repeats itself.

We have then:

y = cos (0) = 1

y = cos (360) = 1

Therefore, the period is 360.

Answer:

the period for the graph of y = cos (0) is:

c.360

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complete question:

What is the period for the graph of y=cos(0)? (Sketch a graph to help determine the answer.)

a.180

b.90

c.360

d.270

Question 1
Find the volume of the prism, Round your answer to the nearest tenth, if necessary.
13 m
3m
5m
Need help with this question?

Answers

The volume of the prism is 195 cubic meters.

To find the volume of the prism, we need to multiply the length, width, and height of the prism.

Length = 13 m

Width = 3 m

Height = 5 m

Volume = Length x Width x Height

Volume = 13 m x 3 m x 5 m

Volume = 195 cubic meters

what is the radius of the circle shown below x^2+y^2-8x-10y-8=0

Answers

Answer:

r = 7

Step-by-step explanation:

equation of circle is (x - a)² + (y - b)² = r²

where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.

x² - 8x + y² - 10y = 8

we need to complete the sqaure for both x and y

x² - 8x = (x - 4)² = x² - 8x + 16, which is 16 more than x² - 8x. so we need to subtract that 16.

we now have (x - 4)² - 16.

now do the same with y

(y - 5)² = y² - 10y + 25, which is 25 more than y² - 10y. so we need to subtract 25.

we now have (y - 5)² - 25.

back to our full equation.

(x - 4)² -16 + (y - 5)² - 25 = 8

(x - 4)² + (y - 5)² - 41 = 8

(x - 4)² + (y + 5)² = 49 = r²

radius r = √49 = 7

HELP ASAP/ Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line ' t'
(choose all that apply)

Answers

All points that lie on the line that passes through point `P` and is perpendicular to line ' t' are: (4, -1) and (6, -5)

What is the equation of the line?

The equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Using two coordinates on line t as: (-4, 1) and (2, 4), the slope of the line t is:

Slope = (4 - 1)/(2 + 4)

Slope = 3/6

Slope = 1/2

Equation of line t is:

(y - 1)/(x + 4) = 1/2

y - 1 = x/2 + 2

y = ¹/₂x + 3

Thus, slope of line passing through P and perpendicular to t is: -1/(1/2) = -2

Now, coordinates of point P is (3, 1). Thus:

Equation passing through point P and perpendicular to line t is:

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

y - 1 = -2x + 6

y = -2x + 7

The only coordinates that fits into this are (4, -1) and (6, -5)

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A, B & C form the vertices of a triangle.

CAB = 90°,

ABC = 58° and AB = 9.3.
Calculate the length of BC rounded to 3 SF.

Answers

Answer:

To calculate the length of BC in the triangle ABC, we can use the trigonometric functions sine and cosine.

Given that ∠CAB = 90° and ∠ABC = 58°, we can determine that ∠BCA = 180° - 90° - 58° = 32°.

Using the sine function, we can find the length of BC:

sin(∠BCA) = BC / AB

Rearranging the formula, we have:

BC = AB * sin(∠BCA)

Substituting the given values:

BC = 9.3 * sin(32°)

Using a calculator or trigonometric table, we find:

BC ≈ 9.3 * 0.529 = 4.917

Rounding to three significant figures (SF), the length of BC is approximately 4.92 units.

Step-by-step explanation:

name the leading coefficient and degree of the polynomial 4xy^8

Answers

(a) The leading coefficient is 4

(b) The degree is 8

How to determine the leading coefficient and the degree of the expression

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

4xy⁸

Consider an expression ax where the variable is x

The leading coefficient of the variable in the expression is a

Using the above as a guide, we have the following:

The leading coefficient is 4

Consider an expression axⁿ where the variable is x

The degree of the variable in the expression is n

Using the above as a guide, we have the following:

The degree is 8

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Which of the following algebraic steps will solve the equation 3x/4=7/3 what is the solution

Answers

The solution to the equation is x = 28/9

Given data ,

To solve the equation 3x/4 = 7/3, you can follow these algebraic steps:

Step 1 :
Multiply both sides of the equation by 4 to eliminate the fraction in the denominator of the left side:

(4) (3x/4) = (4) (7/3)

3x = (4/1) (7/3)

Step 2:
Simplify the right side of the equation:

3x = 28/3

Step 3 :
Divide both sides of the equation by 3 to isolate x:

(1/3) (3x) = (1/3)(28/3)

x = (28/3) / 3

Step 4 :

Simplify the right side of the equation:

x = 28/9

Hence , the solution to the equation 3x/4 = 7/3 is x = 28/9

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what the answer for this?

Answers

A = base x height
=7x5
=35

Help pleaseee is just one problem

Answers

The matrices after the row operations are given as follows:

a) [tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]

b) [tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\-6&-5&-2&-3\end{array}\right][/tex]

How to obtain the resultant matrices?

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2&5&-6&-4\end{array}\right][/tex]

When we multiply a matrix row by a constant, each element of the row is multiplied by the constant.

Hence the resulting matrix after we multiply row 3 by 2 is given as follows:

[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]

We can also exchange rows of the matrix, hence the resulting matrix after rows 1 and 3 are exchanged is given as follows:

[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\-6&-5&-2&-3\end{array}\right][/tex]

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el area de la base de un cilindro es de 40 pi m2. expresa el volumen en funcion de la altura

Answers

The volume of the cylinder, when expressed as a function of the height of same cylinder, is V ( h ) = 40 h ft ³.

How to express the volume of the cylinder ?

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

V = Area of the base of the cylinder x height of the cylinder

Given that the area of the base A is 40 ft², you can substitute this into the formula to express the volume as a function of height:

V ( h )  = 40 ft ² x h

V ( h ) = 40h ft ³

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Tanya has captured many purple-footed bog frogs. She weighs each one and
then counts the number of yellow spots on its back. This trend line is a. fit for these data.
O A weak
B. strong
C. parabolic
D. negative

Answers

Answer:

B) strong

Step-by-step explanation:

The correlation coefficient is close to 1, meaning it is both a strong correlation and a positive correlation.

HELP ME QUICK. paul is thinking of a number. ⅖ of this number is 14 what is the number??​

Answers

Answer:

Step-by-step explanation:

If we know that 2/5 of the number is 14, 5/5 must be the answer Paul is thinking of.

= (14/2) x 5 <---- This is 1/5 of the number

= 35

∴, the number Paul is thinking of if 35

Shantae's living room is 20.2 metres long and its width half the size of its length. What is the difference between the length and width of her living room?​

Answers

If the width of Shantae's living room is half of its length, then we can express the width (w) in terms of the length (l) as follows:

w = l/2

We know that the length of the living room is 20.2 meters, so we can substitute this value into the equation to find the width:

w = 20.2/2 = 10.1 meters

The difference between the length and width of the living room is:

l - w = 20.2 - 10.1 = 10.1 meters

Therefore, the difference between the length and width of Shantae's living room is 10.1 meters.

What is the area of the composite figure

Answers

Answer:

34 units²

Step-by-step explanation:

triangle=1/2×5×2=5

other triangle at the right=5

square 6 ×5= 30

unshaded square= 3×2=6

30-6=24

total=5+5+24=34units²

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(none of these choices) many mobile computers and mobile devices use lcd monitors. what does lcd stand for? a music teacher is assigned the task of finding a presenter from the career area of fine arts for career day. the teacher finds a guest presenter who helps people improve their health or functional processes through creative means. what is the career that will be presented by this person? .What is the term for a progressive brain disorder that produces loss of memory and confusion and, in many cases, death? where have significant oil and natural gas supplies been found in the european realm? Identify each of the following relationships between traits as homologous or analogous.apples and orangesa. analogousb. homologous Part A: Cassie hiked 4 tenths of a 4.7-mile trail. How many miles did Cassle have left to hike?Part B: Dana was 1.6 miles ahead of Cassie. 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Which detail from the passage best supports the idea that Farmer It was long past dusk of an August evening. Farmer Weitbreck stood leaning on the big gate of his barnyard, looking first up andthen down the road; his face wore an expression of deep perplexity. Never before had the farmers been so put to it for farm service, forharvesttime had come, and instead of the stream of laborers seeking employment that usually at this season set in as regularly asriver freshets in spring, it was this year almost impossible to hire anyone.The explanation of this nobody knew or could divine, but the fact was indisputable, and the farmers were in dismay-nobody moreso that Farmer Weitbreack, who had miles of grain, all yellow and nodding, ready for the sickle and nobody but himself and his sonJohn to swing scythes."Never I am caught this way anoder year," thought he, as he gazed wearily up and down the dark, silent road.Gustavus Weitbreck had lived so long on his farm that he thought in English instead of German, but his phraseology was the onlything about about him that had changed. In habits of life, he was the same he had been forty years ago, when he farmed a little plot ofland in the fatherland-slow, methodical, saving, upright, obstinate. All these traits "Old Weitbreck," as he was called all through thecountry, possessed to a degree much out of the ordinary, and it was a combination of two of them-the obstinacy and the savingness-which had brought him into his present predicament.In June, he had had a good laborer-one of the best in the country. By his help, the haying had been done in two thirds the usualtime; but when John Weitbreck, like a sensible fellow, said, "Now, we should better keep Alf on till harvest; these is plenty of odds-and-ends work about the farm he can help at," his father had cried out"It is that you tink I must be made out of money! I vill not keep dis man on so big wages to do vat you call odd-and-end vork. We doodd-and-end vork ourself." if cardiac output remains constant, but resistance to flow decreases, mean arterial pressure will atent and copyright laws are major sources of natural monopolies. government-created monopolies. resource monopolies. antitrust regulation. you own 630 shares of maslyn tours stock that sells for $69.22 per share. if the stock has a dividend yield of 4.2 percent, how much do you expect to receive next year in dividend income from this investment? the fourth step of the conversation, the feedback stage, is the reverse of the opening.TF Operas composed by Mozart often contain messages about blank and blank. T/F which of the following types of businesses would normally have the shortest operating cycle? when e-commerce is done in a wireless environment, this is called: