Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?

Answers

Answer 1

Answer:

rate of Tyler = 8.4 Km/hour

rate of Kiran = 6.3 Km/hour

rate of Mai = 8.5 Km/hour

Step-by-step explanation:

Rate is the speed with which each ran

speed = total distance covered/total time taken to cover that distance

we will use unit  km/hour for speed calculation

_____________________________________________________________

For Tyler

distance = 4200 m

1000 m = 1 km

4200 m = 1/1000 *4200 km = 4.2 KM

time = 30 minutes

60 mins = 1 hour

30 minutes = 1/60 *30 hour = 0.5 hours

thus,

speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour

_____________________________________________________

For Kiran

distance = 6300 m

1000 m = 1 km

6300 m = 1/1000 *6300 km = 6.3 Km

time = 1 hour

thus,

speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour

_____________________________________________________

For Mai

distance = 6.3 Km

time = 45 minutes

60 mins = 1 hour

45 minutes = 1/60 *45 hour = 0.75 hours

thus,

speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour


Related Questions

combine like terms to create an equivanlent expression and simplify coefficents and constants -6/5-2/3v+4/15+1/3v

Answers

Answer: −

1

4

1

5

+

2

3

+

3

Step-by-step explanation:  because im smart and ty for the points mate or girly girl

Write an algebraic expression for the area of the conference room

Answers

Answer:

I like yo cut gggggggggggg

x-(x(x-y to the power of 3)) ; use x=9 and y=1

Answers

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost?

Answers

Answer:

2 months

Step-by-step explanation:

The selling price of the sweater = 0.5 x $20 = $30

For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6

After the first month, price is reduced by $30 - $6 = $24

After the second month, price is reduced by $24 - $6 = $18

Answer: 2 months

Step-by-step explanation: daddy long legs is smart

this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question

Answers

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

I need help with this question.
-3(k+5)>-7-3k

Answers

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

There are 2 computers for every 3 iPads in this technology room

Answers

I’m confused on the question, what are u asking

Answer:

The Ans Is 2:3

Step-by-step explanation:

In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below

Answers

Given:

Price of  gold in 2001 = (0.5x+300)

Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

To find:

An expression for the price of gold per ounce in 2016.

Solution:

We have,

Price of  gold in 2001 [tex]= (0.5x+300)[/tex]

Its price tripled in 2008.

Price of  gold in 2008 [tex]= 3(0.5x+300)[/tex]

Then doubled in 2011.

Price of  gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]

In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

Price of  gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]

                                    [tex]=2\times 2(0.5x+300)[/tex]

                                    [tex]=4(0.5x+300)[/tex]

                                    [tex]=4(0.5x)+4(300)[/tex]

                                    [tex]=2x+1200[/tex]

Therefore, the required expression for the price of gold per ounce is (2x+1200).

Integers on number lines

Answers

Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero. An integer on the horizontal number line is greater than the number on its left and less than the number on its right.

Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.

The x-intercept is
.

The y-intercept is

Answers

Answer:

x-intercepts is (4,0)

y -intercepts is (0,-2)

Step-by-step explanation:

Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)

What is slope intercept form and how it can be used to find y and x intercept of the line?

The slope intercept of a line is given by the equation y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point  in the given slope intercept form and find c.

For finding x - intercept, put y = 0 in the equation and find value of x.

Given line -4x +8y = -16

Then add 4x both sides , we get

⇒4x+4x +8y = -16+4x

⇒ 8 y = 4x -16

Divide both sides by 8

⇒ y = (4/8) x - (16/8)

y = (1/2)x -2

Comparing this equation with y =mx+c

c =-2

Put y = 0 in the equation y = (1/2)x -2

⇒ 0 = x/2 -2

⇒2 = x/2

4 =x

Therefore x- intercept is (4,0) and y - intercept is (0,-2)

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

Plz help with this question

Answers

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Check all fractions equivalent to 2⁄8.
Check all that are true.

1⁄2

1⁄6

4⁄16

1⁄4

4⁄12

Answers

1/4 and 4/16 are equivalent to 2/8

if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)

Answers

Answer:

599

Step-by-step explanation:

uh just subtraction

Answer:

599

Step-by-step explanation:

689-90=599

Thats pretty sad...

What is the most important variable in the problem?
An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?

Answers

Answer:

Step-by-step explanation:

There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.

The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.

98 - 10 = 88

Does the point (1,2) lie on the locus whose equation is 2x+4y = 10?​

Answers

Answer:

Yes, the point lies on the line.

Step-by-step explanation:

 Given coordinate of the locus = (1,2)

  Equation of the line  2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

   x  = 1 and y = 2;

   2x+4y = 10

 So;

    2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.

Please help me!!
Geometry

Answers

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

help I’ll award brainliest

Answers

Answer:

Most likely the answer hope this helps :P

Step-by-step explanation:

1= 10

2= 20

5 = 50

8 = 80

X = 100

1 is 10 2 is 20 and the pattern goes on

Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?

Answers

Answer:

105.37

Step-by-step explanation:

Can someone help me out with this? First to answer will get brainliest. :)

Answers

1) 4/3
2)-5
3)5/2
4)-17/5

what is 8.8x10^5 in standard notation?

Answers

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Use the greatest common factor to write each answer in simplest form what is 3/4 • 2/3?

Help ASAP

Answers

Answer:

1/2

Step-by-step explanation:

The equation of y-axis is of the form

Answers

Answer:

x=0

Step-by-step explanation:

The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.

Hence, x=0

An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.​

Answers

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.

Answers

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.

Answers

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.

Answers

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total  number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

Other Questions
what are the steps for the respiratory system? PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!! Some pesticides cause great danger to animal and our ecosystem. True or false? The Diaspora pushed Jews out of the city of______ around AD 70. i need help, for physics how many joules are needed to heat 20.0 g of Au from 10 C to 50 C 1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards? If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay Whats the mood of the poem icarus ? PLEASE HELP! WILL MARK BRAINLIEST!! g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem. so uh....its like 3 different questions but you can put it like...i.e.: 1:2:3:yea like that but.... please help..i'll give brainliest too.. A rocket releases a satellite into orbit around Earth, The satellite travels at 2000 m/s in 25 seconds. What is the acceleration? The fence is very strong the martin familys truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas. Plz help!How did the Zhao establish rule in China?1. They overthrew the Shang in the 1100's BC2. They expanded their territory east and northwest3. They moved their army south to the Chang Jiang River4. All of the Above Two students apply force to a box at rest on the floor.LeftRight40 Newtons30 NewtonsWhat is the total amount of force in Newtons acting on the box and in which direction?10 N Left10 N Right 70 N Left70 N Right Standardize the analogical argument in this passage:Some people believe that it is morally wrong to raise and kill animals for the sake of eating their meat and to support this practice by purchasing meat. An argument against the view (that purchasing meat is wrong) is that these animals would not have existed in the first place if people did not purchase meat, and so we are doing them a favor by purchasing their meat. Henry Salt derides this as the logic of the larder when he points out that [the logic of the larder] must apply to mankind: It has, in fact, been the plea of the slave-breeder; and it is logically just as good an excuse for slave-holding as for flesh-eating. It would justify parents in almost any treatment of their children, who owe them, for the great boon of life, a debt of gratitude which no subsequent services can repay. We could hardly deny the same merit to cannibals, if they were to breed their human victims for the table, as the early Peruvians are said to have done. (Salt 1914) Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to deposit the money today. She needs to have $10,000 in three years. How much will she have to deposit today write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12