One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?

Answers

Answer 1

Answer:  16 1/4 minutes

Step-by-step explanation:

Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.

We are told that A = 30 min/lawn.  B = 45 min/lawn.  These are conversion factors, so we can invert them to:

A =  1 lawn/30 min.  B = 1 lawn/45 min

If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:

X*(A + B) = Lawn Mowed

We want to know the time, X, it would take to mow the same 1 lawn together.  [Lawn Mowed = 1].  Use the equation:

X*(A + B) = Lawn Mowed

X*((1 lawn/30 min) + (1 lawn/45 min)) = 1

X/(30 min) + X/(45 min) = 1

X/30 + X/45= 1

X + X(30/35) = 30  {Multiply both sides by 30]

(1 + 30/35)X = 30

(65/35)X = 30

X = 30*(35/65)

X = 30/(7/13)

X = 30*(7/13)

X = 210/13

X =  16 1/4 minutes


Related Questions

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

9 feet
18 feet
30 feet
33 feet

Answers

2I + 2w = 48
9 feet is the answer.
Have a great day/night

Answer:

Step-by-step explanation:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used  .

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

Now Using Subtraction property we will subtract both side by 30 we get;

Now Using Division Property we will divide both side by 2 we get;

Hence the Width of the garden will be 9 feet.

During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction)

Answers

There is 24 hours in a day.

Spending 7 hours sleeping means you have 7 hours less for other things.
24 - 7 = 17

1/4 of the day is basically saying 1/4 of 24 hours, which is 6 hours.
17 - 6 = 11

1/12 of the day is basically saying 1/12 of 24 hours, which is 2 hours.
11 - 2 = 9

You have 9 hours of the day left, in fraction form being:

3/8 of the day left

What is the area of this tile? in. in? 4 in. I in.​

Answers

Answer:

1*4 = 4 in^2

Step-by-step explanation:

The area for this shape is calculated by multiplying width and length:

1*4 = 4 in^2

im so confused can someone help me please

Answers

Answer:

1. false

2. false

3. false

4. true

Step-by-step explanation:

a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square

a parrellelogram can be any shap as long as its parrelel

a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.

Which of the following is NOT a solution to this system of inequalities?

with examples

Nonsense = report

Answers

Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

I hate maths pleas help

Answers

Answer:

These should be the answers you are looking for.

A: 62

B: 8.9

C: 2.8

This should be correct, but please tell me if it isnt.

Explanation:

The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.

Example of a problem:

I--I--I--I--I--I--I--I--I--I--I

1               ^              2

Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .

the furthest you can go with a decimal until you get a full number is 0.9.

If you are solving a question with full numbers (example: 20 through 30), you would count normally.

I--I--I--I--I--I--I--I--I--I--I

20           ^              30

The answer would be 25 for this one.

I hope this helps you out in the future.

Math definetly sucks, especially common core. I feel you.

8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?

Answers

Sheet=2/5cm
180/5=36
36*2=72cm
Packet is 72cm thick (0.72m)

WHAT IS THE VALUE OF Y IN THE EQUATION 2X + 4Y = 8, IF X =0?

Answers

Answer:

It must be two

Step-by-step explanation:

Find the value of x and angle AKB

Answers

x = 3 and angle AKB = 11

(Hurry) guys pls help me, i don’t understand what my teacher taught me

Answers

Answer:

Step-by-step explanation:

me too i dont know

Answer:

8 cm≈ 117.6 cm³

Step-by-step explanation:

Total surface area:

A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant height

We are given:

A = 161 cm²

Find the value of l:

14l + 49 = 16114l = 112l = 112/14l = 8 cm

Use Pythagorean to find the height h of the pyramid:

l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cm

Find the volume:

V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³

Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?

Answers

Answer:

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

What is the vertex form of the parabola?

The  vertex form of the equation is y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex point

a is the coefficient of

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

h = -1.5

The value of h is h = -1.5.

To learn more about the vertex form of parabola visit:

https://brainly.com/question/17987697

#SPJ2

re upload plz help!!!!!

Answers

Answer:

1) A) 64 tickets

  B) $11

2) A) 20 rides

Step-by-step explanation:

1) a) set y to 37 because they made 37 dollars

37 = 0.50x + 5

32 = 0.50x.........subtract 5 from both sides

64 = x..................divide both sides by 0.50 to get x by itself

b) set x to 12 because x is the amount of ride tickets they bought

y = 0.50(12)+ 5

y = 6 + 5............multiply 12 by 0.50

y=11......................add

2) a) set both equations equal to each other to see when they will be equal

0.50x + 5 = 0.75x

0.50x = 0.75x - 5..........subtract 5 from both sides

0.50x - 0.75x = - 5........subtract 0.75x from both sides

-0.25x = - 5......................combine like terms

x=20...................................divide both sides by -0.25 to isolate x

What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!

Answers

right answer is b

b. y= -3.5x^2-0.5x+4.5

17081 + 8391





the answer. I need help plz


ᵇᵗʷ you get all mah points​

Answers

Answer:25,472

Step-by-step explanation:

Answer:

the awnser od easy ots 25,472

Determine the solution and the reasoning that justifies the solution to the systems of equations.
O (2,7), because this point is true for both equations
O (4, -6), because this point lies only on one of the two lines
(4, -6), because this point makes both equations true
O (2,7), because the lines intersect the x-axis at these points

Answers

Answer:

A or C

Step-by-step explanation:

The system is not given to give exact answer.

Possible solution is:

A. (2,7), because this point is true for both equations

Yes, same point lies on both lines, it is their intersection

B. (4, -6), because this point lies only on one of the two lines

No, this is not a solution to both equations

C. (4, -6), because this point makes both equations true

Yes, same point lies on both lines, it is their intersection

D. (2,7), because the lines intersect the x-axis at these points

No, this is not confirming any solution

Write an equation for the line gragh

Answers

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

How do I solve this question? The wording is confusing to me

Answers

Step-by-step explanation:

Use Pythagarus theorem

17^2=15^2 +x^2

289= 225 + x^2

64=x^2

x = 8 m

Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.

Answers

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

What is the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?

Answers

Answer:

1in x 2 + 1 in =3in

2 times 1 is 2 + 1 equals 3

what is the slope of the line // take my points !!!!

Answers

Answer:

Im not sure

Step-by-step explanation:

Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 30
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answers

The money raised depends only on the number of tickets sold, the inverse equation is found by making the tickets sold the subject.

[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]

How can the inverse function be found?

The given parameters are;

a(n) = The amount of money raised

n = The number of tickets sold

a(n) = 3•n - 30

Solution;

The equation that takes the amount of money raised and returns the number of tickets sold is found as follows;

a(n) = 3•n - 30

a(n) + 30 = 3•n

Therefore;

[tex]n = \frac{a(n) + 30}{3} = \frac{a(n) }{3} + 10[/tex]

The number of tickets sold,

[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]

Learn more about equations here: https://brainly.com/question/24714911

#SPJ1

Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.

Answers

Answer:

1. Alternate exterior: None

2. Corresponding angles: None

3. Same side exterior angles: <1 and <5

4. Alternate interior: <3 and <4

5. Same side interior: <2 and <4

Step-by-step explanation:

What is 5 1/4 + 5.8333333

Answers

Answer:

11.0833333

5 1/4

5.83

11.08

Answer:

11.08

Step-by-step explanation:

Because the 3’s are repeating we don’t need to put all of them

Please help



??





:$):’jfidifkvk

Answers

Answer:

For the question a i think its b

Step-by-step explanation:

I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.

Answers

Answer:

tan 72 = 6/x

OR

cos 72 = x/15

Step-by-step explanation:

A good way to remember trig ratios is this

SOH CAH TOA -

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

You can find x in a few different ways.

If you did tangent, it would be

tan 72 = 6/x (because tangent is opposite over adjacent)

Or, there's also the pythagorean theorem...

A humpback whale can eat 4.4 x 10^3 plankton a day during feeding season. If the feeding season lasts 120 days, find the total number of plankton a humpback would eat by the end of feeding season. Write your answer in scientific notation

Answers

Answer:

An average-sized blue whale will eat 2,000-9,000 pounds (900-4100 kg) of plankton each day during the summer feeding season in cold, arctic waters ( about 120 days).

Step-by-step explanation:

Name Performance Task Write and Solve Equations Account Mario received his most recent bank statement and is planning what to do with his finances. He wants to be responsible with his money and save as much as he can for the future. The table shows the current balance of his 3 bank accounts.

Checking Account: 7,456.43
Savings Account: 2,010.55
Money Market Account: 2,378.09

Write your answers on another piece of paper. Show all your work to receive full credit.

Part 4 Mario wants the total of the 3 accounts to be at a minimum of $13,000 after his next paycheck. His next paycheck will be worth $1,200. He thinks that he will reach this goal if he deposits his entire paycheck to his accounts. Is Mario correct? Use an equation to support your answer.​

Answers

Answer:

13000

Step-by-step explanation:

0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

I think is non proportion

notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?

Answers

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month

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