Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?


In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D

Answers

Answer 1

Answer:

a) Her rate is 1 mile per hour  for Monday’s run

b) 0.447 m/second

c) In fraction  20467m/180000 seconds

Step-by-step explanation:

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

Her rate is 1 mile per hour  for Monday’s run

part A. According to the question, the unit rate is to be expressed in miles per hour units.

Part B.

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

But 1 mile = 1609.34 m

and 1 hour = 3600 seconds

There fore  

1 mile/ 1 hour  = 1*1609.34/ 1*3600 seconds

                    = 0.447 m/second

Part C.

1 mile/ 1 hour  =1609.34/ 3600 seconds

                     = 1609.34 * 100/100 * 1/3600  ( multiplying and dividing by 100 to remove the decimal)

                     = 160934/360000

                      = 20467m/180000 seconds

                       

The first five multiples of 1 are 2,3,4,5,6,7,8, 9......

The LCM of 1 and 1 is 1


Related Questions

in which pair of figures can figure A be taken to figure B by a rotation

Answers

Answer:

Pair 1

Step-by-step explanation:

if the shape A rotated 180 degrees it would reach shape B

If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

On origin there is No effect as we assumed rotation is being with respect to origin.

Therefore, if the shape A is rotated 180 degrees then it would reach shape B.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Fill in the blank to accurately describe the length of the missing side x

Answers

Answer:

8<x<12

Step-by-step explanation:

this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -

8<x<12

hope this helps :)

.
On a farm a worker takes 15 minutes to pack 162 eggs into 9 cartons. How many eaggs are in each carton?

Answers

Answer: 18 eggs in one carton

Step-by-step explanation:

Basically, the 15 minutes is irrelevant to solve this problem so don’t worry about it. All you have to do to solve this is doing 162/9 to get 18.

-3a-3=-2n+3p solve for a

Answers

Answer:

a=−2n3−p−1a=-2n3-p-1

Answer:

a=−2n3−p−1a=-2n3-p-1

Step-by-step explanation:

Consider parallelogram below ABCD. Use the information given in the figure to find , angle B, and angle BAC

Answers

Answer: b and d

Step-by-step explanation:

What are the measures of angles B and D? A. ∠B ... The perimeter of parallelogram ABCD is 46 inches. ... What is the measure of angle O in parallelogram LMNO? ... Consider the diagram and proof below. ... Rectangle PQRS is shown with its diagonals, PR and QS. ... Which equation can be used to find the measure of ?

Priya has picked 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?

Plz answer quick needed for quiz

Answers

Answer:

2/3 cups

Step-by-step explanation:

Using unitary method we get the ans as 2/3.

Solve four and three fourths minus one and one third.

(GIVING EXTRA POINTS ON THIS ONE AND A BREAINLIEST!!)

A) Two and two sevenths

B) two and two twelfths

C) three and five twelfths

D) three and five sevenths

(Here is an image if needed) :

Answers

Answer: c.

Explanation: The first thing you do when you subtract mixed numbers is convert them into improper fractions. 4 3/4 can be converted to 19/4 and 1 1/3 can be converted into 4/3. To be able to subtract or add fractions they need to have the same denominator a number in which both denominators can go into and that number is 12. 4 can equally go into 12 and so can 3. Now that you have found the common denominator (12) you have to find out what kind of operation you need to do in order for 4 to be 12 and for 3 to also be 12. And that is by multiplying. If you multiply 4 by 3 and get 12 and 3 by 4 to get 12 as well. Whatever you do to the bottom of the fraction you also do to the top so 19 x 3 / 4 x 3 = 57/12. Do the same to the other improper fraction: 4 x 4/ 3 x4 = 16/12. They both now have the same denominator but you have to subtract so,,57/12 - 16/12 = 41/12 you have the answer to the subtraction problem but you can probably tell that it isn’t any of the options on the question. Simplifying 41/12 will give you the mixed number 3 5/12.

Answer:

c

Step-by-step explanation:

1) Find a unit rate for the following ratio. 135 words: 3 minutes
2 points
45 words: 1 minute
50 words: 1 minute
40 words: 1 minute
100 words: 2 minutes


Answers

45. It’s just dividing 135 by 3.

The perimeter of a triangle is 40 inches. The middle length side is twice as long as the short
side. The longest side is 10 inches longer than the sum of the other two sides. Set up an
equation to model this situation. Then find the length of each side

Answers

Answer:

67

Step-by-step explanation:

Which of the following can you determine when you use deduction and start from a given set of rules and conditions

Answers

Answer:

What must be true

Step-by-step explanation:

PLEASE ANSWER THIS IN 30 MINUTES ILL GIVE YOU 30

Answers

Answer:

can you not just divide by 2 because you want to serve half the people?

Step-by-step explanation:

-(-13)+(-4)-(-9)+(7)-(-10)-(-8)=

Answers

Answer:

Tthe answer is 43

Step-by-step explanation:

−(−13)−4−(−9)+7−(−10)−(−8)

=13−4−(−9)+7−(−10)−(−8)

=9−(−9)+7−(−10)−(−8)

=18+7−(−10)−(−8)

=25−(−10)−(−8)

=35−(−8)

=43

Answer:

43

Step-by-step explanation:

-(-13)+(-4)-(-9)+(7)-(-10)-(-8) = 43

Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Angela's age in years. Today Angela is ___years old.

Answers

Answer:

10

Step-by-step explanation:

I just guessed and check :)

But if you recheck my answer it's correct!

Angela: 10 years

Cat: 10 months

In 1 year:

Angela: 11 years

Cat: 22 months

I hope this helps!

Answer:

I think Angela is 10 years old today.

a drawer contains 8 blue socks and 8 black socks. it is dark and you cannot tell the difference between colors

Answers

Answer:

yes

Step-by-step explanation:

i will trun on the light and see what color the socks are

please write complete question

Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles.

Answers

Answer:

Is there a picture?

Step-by-step explanation:

Find the equation of the line that is parallel to the given line and passes through the given point.

y = −4x + 7; (9, 5)

The equation is y =__________.

Answers

Answer:

y= 4 x  

Step-by-step explanation:

y =4x − 7

 

Choose a point that the parallel line will pass through.

(0 , 0 )

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y = m x+ b , where  m  is the slope and b  is the y-intercept. y = m x + b

Using the slope-intercept form, the slope is  

4 . m = 4

To find an equation that is parallel to  y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( 0 , 0 ) m = 4

Using the point-slope form  

y − y 1 = m ( x −x 1 ) , plug in  m = 4 ,  x 1 = 0 , and  y 1 = 0 .

y − ( 0 ) = ( 4 )( x − ( 0 ) )

Solve for  y.

Subtract  0  from  y .

y = ( 4 ) ( x − ( 0 ) )

Subtract  0  from  x .

y= 4 x  

HOPE THIS HELPS!

pLEASE MARK bRAINLIEST! :)

Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?

Answers

Answer:

10 apples

Step-by-step explanation:

if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20

eqaution: 10 divided by 2

Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds

Answers

Answer:

h

Step-by-step explanation:

eteujj

18 : 22
18/22

They’re both divisible by 2

18/22 divided by 2/2

(18/22) / (2/2)= 9/11


So, the ratio as a fraction is simplest form would be

9/11

Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?

Give your answer as a fraction.

Answers

Answer:

15/100

Step-by-step explanation:

6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100

Answer: 17/20

Step-by-step explanation:

There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20

Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)


x − y + 8z = 8

3x − 9y + z = −1

8x + y = 0

Answers

Answer:

Step-by-step explanation:

To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.

[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]

Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time

Answers

Since 2 is not in a line
Answer=2

Answer:

thanks

Step-by-step explanation:


Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answers

6 4/5 = 6.8
4 1/2 = 4.5

6.8-4.5= 2.3

Answer: 2 3/10 more pounds of treasure

The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2​

Answers

Answer:

The range is -2,2,-4

Step-by-step explanation:

hope this helps

M



Can someone please help me!!

Answers

Answer:

64 is the measure of angle A.

Step-by-step explanation:

===================================================================

The triangle is an isosceles triangle, so when you use the supplementary theorem for angle BCA and 116, you get 64. And since the base pairs are equal, angle A is 64.

===================================================================

Answer:

m∠A = 64°

Step-by-step explanation:

If AB = BC , then ∠CAB ≅ ∠ACB

m∠ACB = 180° - 116° = 64° ⇒ m∠A = 64°

the largest negative integer is -1000​

Answers

Answer:

rlly

Step-by-step explanation:

disagree but yea sure

whats nine and 5 tenth in standard form

Answers

9 5/10, that’s your answer

Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?

Answers

the answer would be $7.20

Answer: 7.20$

Step-by-step explanation:

Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane

what is the decimal for 17 40
please explain​

Answers

Answer:

17.40

Step-by-step explanation:

no

What is the sum or difference?
2x^4 +8x^4

Answers

Answer:

10x^4

Step-by-step explanation:

The solution to the given expression is 10x⁴ which represents its sum.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

The expression is given in the question, as follows:

2x⁴ + 8x⁴

We have to determine the sum or difference of the given expression.

As per the question, we have

2x⁴ + 8x⁴

Combine the likewise terms in the above expression, and we get

10x⁴

Thus, the solution to the given expression is 10x⁴.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ6

20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Other Questions
What is a rhythmic pattern? A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?a. $128.125b. $138.36c. $2.050d. $8.01 plss help ASAPWhat is the ratio of blue shapes to all shapes in the set below? 4.9 5.9 4.5 5.4 how did the nazis make the jews identify themselves Will give brainliest!! How would you write the direction of the vector above as a global angle? -9 is an example of what if peanut butter is made by peanuts and butter does that mean that ice-cream is made out of ice and cream. Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90 clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true Suppose a certain object has a mass of 5.00 kilograms on the earth. On theMoon, where g is 1.6 m/s/s what would its mass be?* For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.) Ivanhoe Company sublet a portion of its warehouse for five years at an annual rental of $71100, beginning on May 1, 2020. The tenant, Barbara Jones, paid one year's rent in advance, which Ivanhoe recorded as a credit to Unearned Rent Revenue. Ivanhoe reports on a calendar-year basis. The adjustment on December 31, 2020 for Ivanhoe should be:________. rob bought 15 concert tickets worth $322.50. Floor tickets cost $25 each while balcony tickets cost $17.50 each. How many tickets of each type did rob bye? How to change a fraction to a decimal Sorry just posted this but forget the picture, I am writing a school newspaper, can someone read it and give me feedback, to make sure it sounds good! Brainliest plus 50 points to the first with all the right answers!!! 1.) Last week Joy ran 20 miles more than Olivia. Joy ran 43 miles. How many miles did Olivia run? x = the number of miles Olivia ran Write the equation to represent this situation. (Do not use any spaces in your equation)2.) Kim rented a bounce house for a party. There was a one-time charge of $100, plus an hourly rate of $35. Her total cost for the night was $327.50. For how many hours did Kim rent the bounce house?h = the # of hours Kim rented the bounce houseWrite the equation to represent this situation. (Do not use any spaces in your equation) que estan ELABORANDO los medicos para hacer la cura del coronavirus...AYUDA Everything is an adaptation. true or False Which of the following is an extensive property of a sample of aluminum? If 255 students in a science class at a middle school are going on a hiking trip and each tent holds s number of students, which expression could be used to determine the number of tents needed for the hiking trip?a 25/sb 25-sc 25+sd 25sJust need clarification. Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE