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

Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.

Answers

Answer:

57777788999999888889999

A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)

Answers

Answer:

P10 = P₁₀ = -115.5

Step-by-step explanation:

Shown in the picture

Happy late Thanksgiving!!!

Answers

Answer:

You too!!

Step-by-step explanation:

Help plz! i am in 7th grade, but I am doing 9th grade math and i need help. I missed one day of school and i am behind. what is a residual?!?

Answers

Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation:

If
x
=
2
and
y
=
6
, evaluate the following expression:
3
(
3
y

4
x
)

Answers

The answer is 30. You have the values of x and y so all you have to do is substitute them into the equation 3(18-8) 18-8=10 3(10) 3x10=30

what is the value of 8^-1/3

Answers

Answer:

2

Step-by-step explanation:

cube root of 8


At the craft store, Patty bought a bag of yellow and brown marbles. The bag contained 85
marbles, and 60% of them were yellow. How many yellow marbles did Patty receive?

Answers

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

Answer ALL the question. Thank you


1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?


2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?


3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?


4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?

Answers

1) The toad's jumps are 12 steps long.

2) One of Roger's jumps equals 45 steps.

3) Wartortle makes 1 jump to cover 96 steps.

4) One of Ribbie's jumps is equal to 14 steps.

1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:

96/8 = X 12 = X So, his jumps are 12 steps long.

2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:

52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.

3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :

8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.

4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:

(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.

Learn more in https://brainly.com/question/19634148

An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

14 dollars off the original price

Step-by-step explanation:

A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.

A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5

Answers

Answer:

what ordered pairs?

Step-by-step explanation:

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Answers

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

[tex]a+c = 12[/tex] (1)

[tex]2\cdot a + 3\cdot c = 33[/tex] (2)

Donde:

[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746

( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?

Answers

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?​

Answers

Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Solve the inequality and enter your solution as an inequality.

X-4<6​

Answers

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

i need it asapp plss

Answers

Answer:

#1 is A   #2 is C   #3 is D   #4 is D   #5 is D   #6 is A

Step-by-step explanation:

I might be wrong for number 5 or the others but hope this works for you.

:)

An investment of $5,690 earns interest at a rate of 4% and is compounded quarterly. What is the
accumulated value of the investment at the end of 7 years?

Answers

Take 4% out of 5,690 and then add 7 years I wouldn’t listen to me if I was you bc im not sure

find the unit rate for this problem


45 tacos for 15 people ______ to is per person


No link please!!!​

Answers

Answer:

45/15 = 3

Step-by-step explanation:

3 tacos per person

Answer:

3 tacos for 1 person

Step-by-step explanation:

45 tacos / 15 people

Divide the top and bottom by 15

(45/15)   / ( 15/15)= 3/1

3 tacos for 1 person

Can someone help? This is so hard.

Answers

y equals 50° since there is a 90° and a 30°

Answer:

cos^-1 (9/15)

Step-by-step explanation:

Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3

Answers

Answer:

2v6y719x3

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP 1

Equation at the end of step 1

 (((2v2 • y711) • v4) • y8) • x3

STEP 2

Final result :

 2v6y719x3

The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.

Answers

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?

Answers

Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts

What is the distance between point (2,6) and (5,2)?

Answers

Answer:

5 units

Step-by-step explanation:

Distance between two points can be found by using the pythagorean theorem

The distance in y = 4

The distance in x = 3

3² + 4² = c²

9 + 16 = c²

25 = c³

c = √25

c = 5

-Chetan K

Answer:

5

Step-by-step explanation:

[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]

[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\underline{\mathrm{Solve:}}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{3^2 + 4^2}[/tex]

[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{5^2}=5[/tex]

what are the similar triangles theorems

Answers

Answer:

AA (Angle Angle), SAS (Side Angle Side), SSS (Side Side Side)

Step-by-step explanation:

pls help ill give brainliest

Answers


All angles inside of the traingle add up to 180. So 180-(117+42)=21.

The functions f and g are defined as follows.
3
f(x) = 3x - 3 g(x) = 3x' +5
Find f(-6) and g(-3).
Simplify your answers as much as possible.
f(-6) -
X
g(-3) =

Answers

F(-6)=3(-6)-3
-21
G(-3)=-4

a
Blue and green dye are mixed in a 7:4 ratio to make 44 litres
of a teal-coloured dye. A further 8 litres of green dye are added
to the mixture. What is the new ratio of blue to green dye in its
simplest form?

Answers

Answer:

7:4 is the new ratio.

Step-by-step explanation:

set a proportion; (8+4 = 12)

7 x

-- = --

4 12

12/4 = 3

3 x 7 = 21

x = 21

new ratio: 21:12

simplifies: 7:4 (division of 3)

The new ratio of blue to green dye in its simplest form is 7/6.

Blue and green dye are mixed in a 7:4 ratio to make 44 litres of a teal-coloured dye. A further 8 litres of green dye are added to the mixture. What is the new ratio of blue to green dye in its simplest form to be determined.


What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Calculating the fraction of blue and green in the teal dye,
Blue dye = 7/(4+7) * 44
Blue dye = 7/11 * 44
Blue dye = 28 liters
Similarly,
Green dye = 7/12*44
Green dye = 16
Now
Blue dye = green dye = 28+16 = 44
Now gree dye is increase by 8 liters
new volume fraction of green dye = 16+8
                                                  = 24
a fraction of blue dye remains the same,
the ratio of blue dye to new green dye in teal colored.
= 28/24
=7/6

Thus, the new ratio of blue to green dye in its simplest form is 7/6.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Please help ME for brainliest.

Answers

Answer:

Equation: -1.2y-4.2y=-3.78

Solved: y=0.7

Step-by-step explanation:

-1.2y-4.2y=-3.78

-5.4y=-3.78

y=0.7

I will take you up on your brainliest offer

Can someone help me please?

Answers

Answer:

5.9 x [tex]10^{12}[/tex]

Step-by-step explanation:

Angel sum theorem ……….

Answers

Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

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