Lin ran ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour.


1. How far would Lin and Noah run in 1 hour?


2. How long would it take Lin and Noah to run 1 mile at that rate?


3. Who ran faster, Noah or Lin and why?

Answers

Answer 1

Answer:

1. Lin 6 7/8 miles, Noah 6 1/2 miles

2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes

3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour

Step-by-step explanation:

Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.

1. We want to know how far Noah will run in an hour

1 hour is 60 minutes;

So 4/3 of an hour is 4/3 * 60 = 80 minutes

thus;

if he ran 8 2/3 miles in 80 minutes

then he ran x miles in 1 hour(60 minutes)

8 2/3 is same as 26/3 miles

Thus;

26/3 * 60 = 80 * x

x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles

Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)

2 3/4 miles took 24 minutes

x mile will take 60 minutes

60 * 2 3/4 = 24 * x

60 * 11/4 = 24x

165 = 24x

x = 165/24

x = 6 21/24 = 6 7/8 miles

Lin will run 6 7/8 miles in an hour

2. we want to know how long it will take both of them to run 1 mile

Lin ran 2 3/4 miles in 2/5 of an hour

meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes

2 3/4 miles was ran in 24 minutes

1 mile will take x minutes

1 * 24 = 2 3/4 * x

24 = 11/4 * x

x = 4 * 24/11 = 96/11 = 8 8/11 minutes

For Noah

6 1/2 miles was ran in 1 hour

1 mile will be ran in x hours

13/2 * x = 60 minutes * 1

x = (2 * 60)/13

x = 120/13

x = 9 3/13 minutes

c. Lin ran faster because he took the lesser amount of time to travel 1 mile

Answer 2

Answer:

1. Lin 6 7/8 miles, Noah 6 1/2 miles

2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes

3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour

Step-by-step explanation:

Step-by-step explanation:

Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.

1. We want to know how far Noah will run in an hour

1 hour is 60 minutes;

So 4/3 of an hour is 4/3 * 60 = 80 minutes

thus;

if he ran 8 2/3 miles in 80 minutes

then he ran x miles in 1 hour(60 minutes)

8 2/3 is same as 26/3 miles

Thus;

26/3 * 60 = 80 * x

x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles

Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)

2 3/4 miles took 24 minutes

x mile will take 60 minutes

60 * 2 3/4 = 24 * x

60 * 11/4 = 24x

165 = 24x

x = 165/24

x = 6 21/24 = 6 7/8 miles

Lin will run 6 7/8 miles in an hour

2. we want to know how long it will take both of them to run 1 mile

Lin ran 2 3/4 miles in 2/5 of an hour

meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes

2 3/4 miles was ran in 24 minutes

1 mile will take x minutes

1 * 24 = 2 3/4 * x

24 = 11/4 * x

x = 4 * 24/11 = 96/11 = 8 8/11 minutes

For Noah

6 1/2 miles was ran in 1 hour

1 mile will be ran in x hours

13/2 * x = 60 minutes * 1

x = (2 * 60)/13

x = 120/13

x = 9 3/13 minutes

c. Lin ran faster because he took the lesser amount of time to travel 1 mile


Related Questions

b) 10 + 2x = x +13
X =​

Answers

x is equal to 3 if not then I just we are asking the wrong questions

Mrs.; Jones bought 25 mangoes for $7.50. She sold 12 mangoes for 60 cents each and the remainder for 55 cents each. Calculate her percentage profit or loss. State whether she made a profit or loss


somebody help me plzzzzz

Answers

Answer:

She made a profit of $6.85

Step-by-step explanation:

she started out with 25 mangos for $7.50

she then sold 12 mangos for $7.15 leaving her with 13 mangos

she then sold the remaning mangos for 7.20

add $7.15 to $7.20 and you get $14.35

thats the gross profit, and you subtract that by $7.50, how much she bought the mangos for, to get her total net profit.

which is $6.85

if f(x) = x-1 what is f(9)?

if f(x)=5, what is f(6)?

Answers

Answer:8, 30

Step-by-step explanation:

what type of number is -1/2 rational irrational integer or whole

Answers

Answer:

it is a rational

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.

greatest to least 0.95 16/20 9/10 0.87

Answers

Answer:

0.95, 9/10, 0.87, 16/20

Step-by-step explanation:

Answer:

.95, 9/10, .87, 16/20

Step-by-step explanation:

Change all the fraction values to decimals to determine the decimals and which is greatest.

Which integer represents a loss of $20


help asap

Answers

Answer:

-20

Step-by-step explanation:

for a loss use a - for a gain use a +

Help with these two problems ! I’ll give brainliest!!

Answers

Answer:

1.-403

Im not sure about the second one but I hope this helps for the first problem!

Step-by-step explanation:

Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth?

Answers

Answer:

the onw haldf

Step-by-step explanation:

To which of the following sets of numbers does ⅞ belong?



Rational Number
Integer
Whole Number
Counting Number

Answers

Answer:

A. Rational number

Step-by-step explanation:

It is not a whole number or integer because it's a fraction. so it's the rational of a whole number.

2. The reciprocal of is please hurry because its do today.​

Answers

Hi, the question is a bit unclear, not sure what reciprocal of the number you’re referring to

6 Shane's rare book collection contains 40 books.
• He donates 20% of his books to the national library
• He sells 1 of his books to a rare book dealer.
• The remaining books he sells online.
How many books does he sell online?

Answers

Answer:

  31

Step-by-step explanation:

20% of 40 is 0.20·40 = 8.

Shane donates 8 and sells 1 of his books. That leaves him with 40-8-1 = 31 books that he sells online.

Answer:

It’s 20

Step-by-step explanation:

yall what is 11/4 divided by 4 in simplest form. It's also due friday..​

Answers

Answer: 11/16Fraction form, 0.6875Decimal form. Also to be fair this can easily be done on a calculator...

Leo and Vanessa both have a certain amount of money and plan to spend a certain amount each week until they run out. Vanessa starts with $400 and plans to spend $80 every 2 weeks. Leo plans to spend his money half as fast and has the same amount of money as Vanessa after 7 weeks.

Answers

Answer:

Leo started with $260

The balance of Vanessa and Leo after 7 weeks = $120

Step-by-step explanation:

Vanessa started $400

Vanesaa spending rate= $80/2weeks

In a week she would spend=$40/week

In 7 weeks should spend =40*7 = $280

Her balance after 7 weeks is =

$400 - $40 × x

$400 - $280

= $120

Leo spends at half of vanessa’s rate= $20/week

In 7 weeks leo will spend

$20 × x weeks

= 20 × 7 = $140

Since Leo and Vanessa’s balance would be the same after 7 days then leo balance is $120

Hence, the amount Leo started with $120 + $140= $260

In order to confirm your above answer

The Equation can be given as

$400 - $40 ×x = $260 - $20 × x

Where x = 7 weeks

$400 -40x = 260 - 20x

$400 - 40× 7 = $260 - 20× 7

$400 - 280 = $260 - 140

$120 = $120

please help me with this:(

Answers

Answer:

3/8 > 0.333

0.3333 is nearly equivalent to 3/9 and 3/8 is just larger.

Answer:3/8 > 0.333

0.3333 is nearly equivalent to 3/9 and 3/8

Step-by-step explanation: Its Just some large number

Hope it helps :)

 

PLEASE HELP!!!

Which answer choice shows the numbers in order from least to greatest?

A) 2/3, -1/2, 7/12, 0.82
B) -1/2, 1.3, 7,12, -0.45, 0.82
C) -0.45, -1/2, -2/3, 7/12, 0.83
D) -0.45, -1/2, 7/12, -2/3, 0.82

Answers

Answer:

c

Step-by-step explanation:

a has a positive before negative, so its ruled out

1.3 is more than -0.45, so b is ruled out

everything in c is in the right order. -1/2 is -0.5 and -2/3 is -0.66, 7/12 is -.58

d is incorrect because -2/3 isnt more than 7/12

Answer:

[See Below]

Step-by-step explanation:

[tex]\boxed{Hey~There!}[/tex]

__________________________________________________________

[tex]\boxed{First~turn~all~the~fraction~into~decimals:}[/tex]

[tex]-\frac{2}{3} =0.666666667[/tex][tex]-\frac{1}{2} =-0.5[/tex][tex]\frac{7}{12} =0.583333333[/tex]

[tex]\boxed{Round~to~the~nearest~hundredth:}[/tex]

To round, look at the number in the hundredths place and look to the right of that number, if the number is greater than or equal to [tex]5[/tex] then you round up. If the number is less then [tex]5[/tex] then you round down.

[tex]-0.666666667=-0.67[/tex][tex]0.583333333=0.58[/tex]

[tex]\boxed{Now~order~them~from~least~to~greatest:}[/tex]

[tex]-0.67~or~(-\frac{2}{3} )[/tex][tex]-0.45[/tex] [tex]-0.5~or~(-\frac{1}{2} )[/tex][tex]0.58~or~( \frac{7}{12} )[/tex][tex]0.82[/tex]

__________________________________________________________

[tex]\boxed{So~based~on~the~work~above~your~answer~would~be:}[/tex]

Some of your choices are incomplete as well as some of the numbers are different in certain ones. So given that, I'm not [tex]100[/tex]% sure which one it is exactly since, you didn't put the options in correctly.

Although I can give you the correct order: [tex]-\frac{2}{3} ,[/tex] [tex]-0.45[/tex], [tex]-\frac{1}{2}[/tex],  [tex]\frac{7}{12}[/tex], [tex]0.82[/tex].

__________________________________________________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ^-^

What is 5(7-2)-4x4????

Answers

What is 5(7-2)-4x4=9

9 is ur anser

Hope this helps!!!

Answer:

The answer is 9

Step-by-step explanation:

5(7-2)-4x4

solve in the parentheses:

5x5-4x4

do all multiplication:

25-16

do subtraction:

9

#3 Solve for the letter A

Answers

Answer:

a = [tex]\frac{bc}{d}[/tex]

Step-by-step explanation:

Given

bc = ad ( isolate a by dividing both sides by d )

[tex]\frac{bc}{d}[/tex] = a

\:\Plz help me with this problem\:\


Enter your answer and show all the steps that you use to solve this problem in the space provided.


A store buys 77 1/2 pounds of mulch in a large shipment. They divide the mulch up into bags that can each hold 2 1/4 pounds. The store sells one bag of mulch for $2.25. For each part of the question, show your work.

Solve the questions below.

A. how many full bags of mulch will the store make?
B. considering only the full bags, what is the total sales price of all the
bags of mulch?

Answers

Answer:

The store will make 24 bags

total sales will be $55

Step-by-step explanation:

finding the number of bagsade by the store,

compare, 2 1/4 pounds= 1 bag

77 1/2 pounds= ? bags

cross multiplication

number of bags the store will make will be 24 4/9 bags.

considering the full bags only which are 24 then the number of full bags the store will make are 24 bags.

total sales will be 1 bag= $2.25

24bags= ?

croas multiplication

the store will make $55

the answer is 7 and i welcome sir have. a day

x/5 - 2 ≤ -6 OR 8x + 1 ≥ 41
explain how u got both answers plz

Answers

Answer:

x less than or equal to -20

Step-by-step explanation:

x/5less than or equal to -6

X/5 less than or equal to -6+2

X/5 less than or equal to -4

Xless than or equal to -4/1/5 reciprocal -4×5/1

xless than or equal to-20 is the answer

Select two ratios that are equivalent to 2:5

Choose 2 answers.

Answers

Answer:

10:25 and 100:2500

Step-by-step explanation:

just multiply both number by the same number

Simplify 3/5 * 35 - 61

Answers

Answer:

-15.6 or -15 3/5

Step-by-step explanation:

Pls help ASAP will award brainliest IM DESPERATE!!


P.S the other choices that aren't in the pic on the last problem are

2,870

287,000


Thanks and pls don't answer just to get points if you don't know

Answers

Answer:

1. [tex]5^{7}[/tex]

2. 300

3. 100

4. 1.24 x [tex]10^{7}[/tex]

5. 28,700

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2). What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

Answers

Answer:

y=1/5x+12/5

e

e

e

e

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Answer:

y=1/5x+12/5

Step-by-step explanation:

took the testttt :))

if 8 is the mean of 3,6,a,9 and 10 find value of a​

Answers

12

To find the answer you multiply 8x5, since there's five numbers in the data set. The answer would be 40. Then, add all the numbers in the data set that you have. (3,6,9,10) and the answer would be 28. Then subtract 40-28=12. You can check your answer by adding 3,6,9,10,12 then dividing by 5, giving you the mean, 8.

Hope this helps!

what is the correct answer?? *please show work*

Answers

Answer:

Answer is -7 and -5 or -7 ,-5

Step-by-step explanation:

You can see step by step in photo. I you like this answer then mark this answer as BRAINLIEST answer.

Thank you ☺️☺️

find the measure of the missing angles
b=
c=

Answers

Answer:

b=20

c=160

Step-by-step explanation:

b has the same measurement as the other angle that is across from it. c is 160 because the line that c is on is a straight line so it is 180 degrees, you subtract the other angle on the line,20, then you get the answer.

Answer:

b = 20° ( vertically opposite angles are equal)

b + c = 180°

=> 20 + c = 180

=> c = 180 – 20

=> c = 160°

Select all of the terms that are "like."



xy2
2xy
x2
-xy
2x2y
xy

Answers

i think the answer is 1,2, and 3

The value of Mrs. thomas's car decreases rate. The value of the car when it was new was $14,000. after three years. the value if the car dropped to $6,500. Which equatuib can be used to calculate the value of the car in dollars.y. after x years?

Answers

about after 10-20 years her car will lose value also if there is damage

____________________________________

Answers

Answer:

the first one

Step-by-step explanation:

1+ 99/3 = 4

99 and more is the graph and the first one resembles it

1. George works for a tech company. He has worked there for 5 years. He makes
$81,536 a year. He started with 8 days of paid vacation time. For each year he works at
the company he gains another three days of paid vacation to a max of 30 days.
a. How many paid vacation days does he now have?

Answers

Answer:

George now has 20 paid vacation days

Step-by-step explanation:

The given parameters are;

The number of years George has worked for the tech company = 5 years

The amount George makes annually while working for the company = $81,536

The starting amount of paid vacation time George has each year = 8 days

The annual increase in the amount of paid vacation time George has each year = 3 days

The maximum number of days of paid vacation allowable = 30 days

a. The number of paid vacation days George now has is given as follows;

The first year George had 8 days paid vacation

The next year George had 8 + 3 = 11 days paid vacation

The third year George had 11 + 3 = 14 days paid vacation

The fourth year George had 14 + 3 = 17 days paid vacation

The fifth year George had 17 + 3 = 20 days paid vacation

Therefore, George now has 20 paid vacation days.

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