It normally takes Julius 2 hours to mow the yard, but because he is in a hurry he asks his son, Marcos, to help him. If just his son was doing the yard work it would take him 3 hours. How long will it take if both are working together? Use the formula 1/T_1 +1/T_2 =1/T_both where T_1 is the time required for Julius to complete the job alone, T_2 is the time required for Marcos to complete the job alone, and T_both is the time required to complete the job when they both work together. Answer as a decimal, rounded to one decimal place.

Answers

Answer 1

Answer: 1.2 hours

Step-by-step explanation:

Given: : Time taken by Julius to complete the job alone: [tex]T_1=2\text{ hours}[/tex]

Time taken by Marcos to complete the job alone : [tex]T_2=3\text{ hours}[/tex]

Let the time taken by both to complete the job together = T

[tex]\dfrac{1}{T}=\dfrac{1}{T_1}+\dfrac{1}{T_2}[/tex]

[tex]\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{2}+\dfrac13\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{3+2}{2\times3}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{5}{6}\\\\\Rightarrow\ T=\dfrac{6}{5}=1.2[/tex]

Hence, it will take 1.2 hours to complete the job by working together.


Related Questions

URGENT
What is the distance between the two points (-5, 6) and (8,-4)?

Answers

Given parameters:

Coordinates of the two points = (-5, 6) and (8,-4)

Unknown:

Distance between the two points.

To find the distance between two points, use the expression below;

  Distance ²  = (x₂ - x₁)² + (y₂ - y₁)²

where;

(-5, 6) and (8,-4)

         x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6

Input the parameters and solve;

 Distance²  =  (8-(-5))²  +  (-4 - (6))²

                    = 169 + 100

                    = 269

Distance = [tex]\sqrt269}[/tex]   = 16.4

The distance between the two points is 16.4

how many solutions does 12x + 1 = 12x - 10

Answers

Answer:

No solutions

Step-by-step explanation:

First things first we need to get rid of the variables so we subtract -12x from one side to the other.

Now we have 1= -10

In this case, 1 is not equal to -10 so we get no solutions!

(Side note: if they were the same like 3=3 that would be all solutions.)

what is the slope of the line that contains the points in the table ?​

Answers

Answer: -2

Step-by-step explanation:

Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle.​

Answers

Answer:

i mean its all about drawing the graph.

Step-by-step explanation:

I hope this helps!

F^12 x f^12=f to the power of what

Answers

Answer:

[tex]f^{24}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus

[tex]f^{12}[/tex] × [tex]f^{12}[/tex] = [tex]f^{(12+12)}[/tex] = [tex]f^{24}[/tex]

M = 2/3, B = -5
M = -5, b = 3/2
M = 2, b = -6
M = -5, b= 2

Answers

Answer: m = 3/2, b = -5

Step-by-step explanation:

When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.

Find the quotient: 8 ÷ 0.5

You can find the quotient by asking how many
are in 8.
Think of the problem as
items, each divided into 2 equal pieces.
The quotient is
.

Answers

The quotient is 16. Because 16 0.5s go into 8

Answer:

The answer is...........1:Halves 2:8 3:16

write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form

Answers

Answer:

 5y = -2x + 31

Step-by-step explanation:

Given equation:

      y = [tex]\frac{5}{2} x + 3[/tex]

Coordinate  = (-7,9)

Unknown:

Equation of the line perpendicular  = ?

Solution:

The slope - intercept format of a line is given as;

      y = mx + c

where y and x are the coordinates

           m is the slope

           c is the y-intercept

y = [tex]\frac{5}{2} x + 3[/tex]

 From the given equation; slope is [tex]\frac{5}{2}[/tex]

       

A line perpendicular will have a slope that is negative and the inverse of this;

      slope of perpendicular line  = [tex]-\frac{2}{5}[/tex]

Since y= 9 and x = -7;

  So;

            9 = [tex]\frac{-2}{5} x (-7)[/tex] + C

            9 = [tex]\frac{14}{5}[/tex] + C

           C  = 9 - [tex]\frac{14}{5}[/tex]   = [tex]\frac{31}{5}[/tex]

Now,

       y  =  [tex]-\frac{2}{5}[/tex]x +  [tex]\frac{31}{5}[/tex]

mulitply through by 5;

     5y = -2x + 31

what is the answer to this 5 ( y + 8)

Answers

Answer:

ijsdbf

dsad

Stepdvds-by-step explanation:

d

PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!

Answers

Answer:

8000

Step-by-step explanation:

8000

10^6-2*7.2/9

72000/9 = 8000

9(6j + 1) + j Help ASAP

Answers

Answer: 55j+9

Step-by-step explanation: distribute 9  through the parentheses and you would get 54j+9+j  collect the terms 55j+9 AND YOUR ANSWER IS 55J+9

Name the line of reflection used to map each pre-image to its image.
Please help

Answers

Answer:

Step-by-step explanation:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

    Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' → [tex](\frac{5+5}{2},\frac{3+7}{2})[/tex] → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

     Coordinates of G' → (-2, 5)

     Midpoint joining the segment GG' → [tex](\frac{2-2}{2},\frac{5+5}{2})[/tex] → (0, 5)

     Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

     y = -x

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.

6 + (negative 8)

Answers

Answer:

Ahmed moved 6 floors up, then moved 8 floors down. Because of that he is now 2 floors below ground level.

Step-by-step explanation:

Hey there!

8 - 6 = 2

~I hope I helped you! :)~

3) The height of an object that is thrown straight up from a height of 6 feet

above ground is given by h(t) = -15t2 + 25t + 6, where t is the time in

seconds after the object is thrown. Find the average rate of the object from

1 to 4 seconds.

Answers

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

HELP ME!!! BRAINLIEST!!!

Answers

Answer:

-3

Step-by-step explanation:

Just simply add 6 to -9 and you would get -3, not sure what else you would need. Just let me know if there is anything else.

The solution is -3, number line below (:

Lisa wants to arrange the numbers below in order from LEAST to GREATEST. 1/5, -0.3, 0.01,-1/-4 Which of these represents her list?

Answers

Least to Greatest

-0.3, 0.01, 1/5, -1/-4

Answer:-.3 , .01 , 1/5 , -1/-4

Step-by-step explanation:

Hurry I only have 5 minutes!!!!!!!!!!! Please help me I don't understand!!!!


The average of the first five numbers drawn was 2499. The first four numbers were 4165,320,7142, and 64. What was the fifth number?

Answers

Answer:

804

Step-by-step explanation:

Answer:

804?

Step-by-step explanation:

maybeeeeeeeeee?

what is 4 times what = 1?

Answers

Answer:

.25                    4(.25) = 1

Step-by-step explanation:

Answer: 4 x 1 =4 - 3=1

Step-by-step explanation:

Two bikers rode at a constant speed on a 150-meter track. The data here show each biker’s distance for a certain part of the race. Who won the race and by how much?

Student 1

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 40, 60, 80, 100.


won the race by about
.

Student 2

A graph has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 42), (6, 63), (8, 84) and (10, 105).

Answers

Answer:student 2

1 second

Step-by-step explanation:

i took the test

Answer:

student 2 ..... 1 second

Step-by-step explanation:

i did the assignment on edg2020

Simplify (1/7) to the 2 power

Answers

Answer:

ill pass

Step-by-step explanation:

The statement as (1/7) to the 2 power is equivalent to 1/49.

What is Expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Examples -

2x + 3y

3x + 5y + z

Given is a statement as (1/7) to the 2 power.

We have the given statement -

"(1/7) to the 2 power".

We can write it as -

[X] = (1/7)²

[X] = 1/7 x 1/7

[X] = 1/49

Therefore, the statement as (1/7) to the 2 power is equivalent to 1/49

To solve more questions on expressions, visit the link below-

brainly.com/question/4274234

#SPJ2

Carlos saves 18% of his salary every month Last month he saved $63. How much money did Carlos make last month?

Answers

Answer:

$74.34

Step-by-step explanation:

Because $63 + 18% = $74.34

Please help! I will give Brainliest! I don't want to fail! (Two questions)

Answers

Answer:

The tip is $7,00 and the equation is C = 13.77p

Step-by-step explanation:

46.95 x 1.15=53.9925

= ans-46.95 = 7.04

or

46.95/100

= ans x 15 = 7.04

Netflix used to charge $5 per DVD rental and a $10 membership fee. Plex used to charge $2 per DVD and a $60 membership fee. Which inequality best represents when the charges from Netflix are less than Plex?

Answers

Answer:

the charges from Netflix are less than Plex cause there's a 50 dollar gap for the member ship and for the DVD there's only a 3 dollar gap

Step-by-step explanation:

Why all integers are not whole numbers?

Answers

Answer:

Integers  -4, -3, -2, -1, 0, 1, 2, 3, 4… all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. For example, -5 is an integer but not a whole number or a natural number.

Jason spent $20.00 on Takis. If each bag of Takis cost
$2.50, how many lunches did he buy?

Answers

Answer:

8

Step-by-step explanation:

20.00 divided 2.50 = 8.

Answer:

8

Step-by-step explanation:

$20.00/$2.50 = 8

7(7 + 5r) = 7(2 + 6r) please show work

Answers

Answer:

r=5

Step-by-step explanation:

1. Use the division property

49+35r=14+42r

2. Combine like terms

35=7r

3. Divide

r=5

Answer:

r = 0

Step-by-step explanation:

7 ( 7 + 5r ) = 7 ( 7 + 6r )

First use the ditributive property of multiplication -

49 + 35r = 49 + 42r

Subtract 35r from both sides -

49 = 49 + 7r

Subtract 49 from both sides -

0 = 7r

r = 0

Hope this helped! :)

What is the solution to |x + 2| 3 or x -1 or x < -3

Answers

Answer:

x<-3

Step-by-step explanation:

Can someone please explain to me how to work this out?

Answers

Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

an airplane descends from 15,000 feet at a rate of 200 feet per second.
A. 15,000t + 200
B. 15,000 + 200t

Answers

Answer:

The answer should B, only one makes sense

The answer for this question is B.

Please help me find the answer! Please explain how you got it!

Answers

Answer:

B. 4.5c + 4 = 24

Step-by-step explanation:

T = cx + py  is the equation you are given.

T = 24 because it is the total amount of money you can spend.

x = 4.5 because each phone case costs 4.50 dollars

p = 2 because you bought 2 pop sockets.

y = 2 because each pop socket costs 2 dollars.

There is no c because you don't know the number of phone cases you bought.

Now, we have to substitute the values into the equation:

24 = 4.5x + 2(2)

24 = 4.5x + 4

4.5x + 4 = 24       <--- This is your answer

Hope this helps!

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