Jay and Kevin are shoveling the snow off a driveway. Working together, they can clear the driveway of snow in 14 minutes. Working alone, it
would take Kevin 21 minutes longer to clear the driveway of snow than it would take Jay working alone. When is the number of minutes it
would take Jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation:
1/j + 1/j +21 = 1/14
How long would it take Jay to clear the driveway of snow working alone?
А.
7 minutes
В.
21 minutes
C.
35 minutes
D
42 minutes

Answers

Answer 1

Answer:

21

Step-by-step explanation:

my teacher said so

Answer 2

It would take Jay 21 minutes to clear the driveway of the snow working alone

The equation is given as:

[tex]\frac 1j + \frac{1}{j + 21} = \frac{1}{14}[/tex]

Take the LCM

[tex]\frac{j + 21 + j}{j(j + 21)} = \frac{1}{14}[/tex]

This gives

[tex]\frac{2j + 21}{j(j + 21)} = \frac{1}{14}[/tex]

Cross multiply

[tex]14(2j + 21) =j(j + 21)[/tex]

Expand

[tex]28j + 294 =j^2 + 21j[/tex]

Collect like terms

[tex]j^2 +21j - 28j - 294 =0[/tex]

[tex]j^2 - 7j - 294 =0[/tex]

Using a graphing calculator, we have:

[tex]j = 21\ or\ x =-14[/tex]

The value of j cannot be negative, because of the context.

So, it would take Jay 21 minutes to clear the driveway of the snow working alone

Read more about rational equations at:

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Related Questions

what is 1/2 times 5/4?

Answers

Answer:

1 x 5 = 5

2 x 4 = 8

5/8 is the answer.

Answer:

5/8 or 0.625

Step-by-step explanation:

1/2 * 5/4

= 5*1/4*2

=5/8

Solve for s.
8 - 4s = s + 13

Answers

Answer:

s= -1

Step-by-step explanation:

I NEED HELP ASAP!!! PLEASE REPLY!!

Answers

Answer:

Both are correct

Step-by-step explanation:

Answer: both are correct

Step-by-step explanation:

Both are correct

you can use either way to solve it.

Simplify your answer and keep improper, if necessary.
Mrs. Gribble was making 4 cakes and each cake required 1 1/2 cups of flour. How much flour did she use in all?

Answers

Answer:

6

Step-by-step explanation:

i liget looked this up on calculator soup

what is the radius of the cylinder​

Answers

Answer: 8 inches

Step by step

320 pi in^3= (r^2) (5in)
64 in^2 = r^2
r=8 in

Round 859, 344 to the nearest thousand.

Answers

Answer: 860,000

Step-by-step explanation:

Since the nearest thousand is mostly higher then most of the numbers in the number line, we know that 9 is greater. It's close to 60,000 if we remove the 8. Therefore, the answer is 860.000

On a class trip to the aquarium, there is 1 adult for every 7 students. If 44 students go on the field trip, how many adults are going on the field trip?

Answers

Answer:

There would be at least 6 adults

Step-by-step explanation:

7 students-1 adult

7 students-1 adult

7 students-1 adult

7 students-1 adult

7 students-1 adult

7 students-1 adult

2 students-0 adults

I think it's 7 adults because 6 wouldn't be enough and you can't have half a human

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile. How much gas dose the car use to 100 miles? Show your reasoning.

Answers

Answer:

um......I think 2 figure it out....

Step-by-step explanation:

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.

2/5 divided by 2 1/10

Answers

Answer:

4/21

Step-by-step explanation:

first you need to make them both fractions, not mixed numbers. so it would be 2/5 divided by 21/10. then you flip the second number so you can multiply it : 2/5 * 10/21. 5 and 10 are divisible by 5 so you can cross 5 out and make a 1 and cross 10 out and make a 2: 2/1 * 2/21. then multiply and you get 4/21!

hope this helps!

Translate this algebraic phrase into an algebraic expression. "4 less than the height"

Answers

If we let h represent the height, the equation would be h-4

Answer:

h - 4

Step-by-step explanation:

Let "h" represent the height. You would subtract the height by 4.

h - 4

1
Find the missing side
in the similar figures below:
30
15
24
25
.X
Ms. Price
Mr. Clark
Mr. Smith
A) 30
B) 34
C) 36
D) 38
E) 10
Mrs. Wilson
Mrs. White

Answers

im not sure ask a professional

What are the domain and range of the function represented by the set of
ordered pairs?
{(-6, 12).(-3,-2), (1,0), (14,-4)}

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Domain = { -6 , -3 , 1 , 14 }

Range = { -4 , -2 , 0 , 12 }

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Here, the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is

{-6, -3, 1, 14} and {12, -2, 0, -4} respectively.

What is range?

We know that the range refers to all possible values of y, and the domain refers to all possible values of x.

How to solve it?

For (-6, 12), the x value = -6 and the y value = 12.

For (-3, -2), the x value = -3 and the y value = -2.

For (1, 0), the x value = 1 and the y value = 0.

For (14, -4), the x value = 14 and the y value = -4.

So, the domain is {-6, -3, 1, 14} and the range is {12, -2, 0, -4}.

Therefore the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is

{-6, -3, 1, 14} and {12, -2, 0, -4} respectively. So, option B is correct.

Learn more about the range and domain here -

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find the original price of a pair of shoes if the sale price is $40 after a 60% discount

Answers

Answer:

Thus, the original price of the pair of shoes was $100.

Step-by-step explanation:

Percentages

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

Add preposition ...The plane landed ____the ranway.

Answers

Answer:

On

The plane landed ON the runway.

Step-by-step explanation:

A preposition is a word that shows the relationship of a noun or pronoun with another word.

For example, in this sentence the noun is plane and we need to connect it with runway.

And on is the answer that makes the most sense.

PLEASE HELP ME ASAP

i’ll give you brainliest if it’s correct please help me :(

TWO PART QUESTION
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow?


SECOND PART

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. How long after Emilio throws the marshmallow does it reach its maximum height?

Answers

Answer:

part 1 = 49

part 2 = .25 seconds

Step-by-step explanation:

hope that can help!

please help ;-; what is the constant of proportionality

Answers

Answer:

.6

Step-by-step explanation:

3/5=.6

What is the slope of the line that passes through the points E(5, 1) and F(2, 7)?
A) 8/3
B) 3/8
C) -3/8
D) -8/3

Answers

Answer:

I would say it's B(3/8)

Answer:

7 - 1/2 - 5 = 6/-3 = -2

Step-by-step explanation:

None of those answers are correct the answer is -2

Last year, a 1.6-gallon container of ice cream sold for $5.99. This year, the same ice cream, now in a 1.2-gallon container, sells for the same price of $5.99. By what percentage was the weight of a container of the ice cream reduced? A. 75% B. 25% C. 60% D. 40%​

Answers

Answer:

25% is the answer

Step-by-step explanation:

From last year to this year, the weight of the container is reduced by  

B. 25%

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Last year, a 1.6-gallon container of ice cream sold for $5.99. This year, the same ice cream is now in a 1.2-gallon container.

So, The amount of icecream increased this year is,

= (1.6 - 1.2) gallons.

= 0.4 gallons.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (0.4/1.6)×100%.

= 0.25×100%.

= 25%.

learn more about percentages here :

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Louisa used Downtown Taxi, which charges $2 for the first mile and $1.10 for each additional mile. Pietro used Uptown Cab, which charges $5 for the first mile and $0.95 for each additional mile. They paid the same amount and traveled the same distance. How far did they travel?

Answers

Answer: 21 miles

Step-by-step explanation:

In general, how tall are giraffes? stat or not stat

Answers

Answer:

18 feet tall

Giraffes are the tallest land animals. Female giraffes are up to 14 feet tall and weigh up to 1,500 pounds. Meanwhile, males are up to 18 feet tall and can weigh 3,000 pounds.

Meet Forest, the tallest giraffe in the world

(CNN) A male giraffe living in a zoo in Australia has been crowned the tallest of them all, hitting a giddy 5.7 meters (18 feet, 8 inches). Isn't that cool?!

( just so you know some of this information was with the help of google)

Brainliest?

Consider W=4(cos(pi/2)+ isin(pi/2)) and Z=3(cos(3 pi/2) + isin(3 pi/2)). What is W + Z expressed in polar form?

Answers

Answer: The answer is b!!

Step-by-step explanation: I just took the test!

Answer:

B

Step-by-step explanation:

Ed2021

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

x=44, They are adjacent

Step-by-step explanation:

since this is right angle it is 90 degrees. You set the whole thing equal to 90, so 43+x+3=90, add 43 and 3=46. Then you subtract 90-46, you get x=44.  

What is the length of the unknown side of the right triangle?

Answers

Answer:

Hypotenuse

Step-by-step explanation:

Answer:

L= the sum of the square root of the square of the opposite side and  the square of the base the triangle.

Step-by-step explanation:

Using Pythagorean Theorem :

the square of the hypotenuse= the square of the opposite side + the square of the base.

Each line represents a proportional relationship.Write an equation for each line. Show your work.

Answers

Answer:

do u think u can zoom in more on the graph

Step-by-step explanation:

Answer:

can you zoom more in the graph?

Step-by-step explanation:

I am an Ace and am looking for some extra points. In celebration, I have decided to give away 30 points!! You only have to answer my question: What is 3^7 x 2^7??? Please answer with a power like x^y with the answer.

Answers

Answer:

279936

Step-by-step explanation:

Good luck ranking to the next level!

Answer:

279936

I just got ace rank! Finally people will KNOW I am the person who gets right answers!

A problem is listed below. Identify its type.
Julie's parents' 25th anniversary is in 2 years. She'd like to give her parents a vacation package for their anniversary. She anticipates the vacation package will cost her $2000. An account at her bank pays 5% per year compounded monthly. How much does she need to deposit today in this account, so that she can buy the package deal for her parents' anniversary?
a) Simple Interest
b) Future Value with compound interest
c) Future Value with simple interest
d) Effective Rate
e) Present Value with compound interest

Answers

Answer:

e) Present Value with compound interest

Step-by-step explanation:

in order to determine how much money does Julie need to deposit we have to use the present value formula with compound interest:

present value = future value / (1 + i/12)ⁿ

future value = $2,000i/12 = 5%/12 = 0.4167%n = 24

$2,000 = present value x (1 + 0.4167%)²⁴

present value = $2,000 / (1 + 0.4167%)ⁿ = $1,810.05

you can also calculate it using the future value formula, but you will end with the present value formula:

future value = present value x (1 + i/12)ⁿ

present value = future value / (1 + i/12)ⁿ ⇒ you are adding 1 more step

you could also calculate it using the present value formula and the effective annual rate:

effective rate = (1 + 0.05/12)¹² - 1 = 5.1162%

present value = $2,000 / (1 + 5.1162)² = $1,810.05 ⇒ but again you are just adding more steps into the process

Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?

Answers

Answer:

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1

Step-by-step explanation:

Let the cost

Dozen of egg = x

Wheel of cheese = y

Pound of potato = z

We will form linear equations using the information given in the question

Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes

3x + y + 5z = 38.25 ................(1)

Barry bought 1 dozen eggs and 10 pounds of potatoes

x + 10z = 36.50 ............(2)

Charles purchased 2 dozen eggs and 2 pounds of potatoes

2x + 2z = 17.20  .................(3)

solving 2 and 3

x = $5.5  and z = $3.1

substitute these values in equation 1

we get

y = $6.25

The cost

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1

A water hose at a fire station leaked 120 gallons of
water. Water leaked at a rate of 15 gallons every 4
minutes. At this rate, how many minutes did it take
all 120 gallons of water to leak from the water
hose?
sum1 help ASAP

Answers

Answer:

Step-by-step explanation:

This is a proportion question

15 gallons / 4 minutes = 120 / x       Cross multiply

15x = 4 * 120                                      Combine the right

15x = 480                                           Divide by 15

x = 480/15

x = 32 minutes

answer all questions!!!!!!!!

Answers

Answer:3 6 7 9 9

Step-by-step explanation:

FIRST RIGHT ANSWER GETS BRAINLIEST!!!!
Madison Middle School spends $750 per year on club activities. They spend at least twice that amount on after-school activities. Write an inequality that represents how much they spend on after-school activities.

Answers

I dont know how to write this on my phone but its 1500<, except the arrow has the line under it to represent at least.

Answer:

x ≥ 1500

Step-by-step explanation:

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