1. Suppose Leif can rake his entire yard in 2.5 hours, while his younger sister, Autumn, can do it in 4 hours by herself. How many minutes will it take the two of the to rake the entire yard if they are working together, to the nearest whole number? Please answer in a number of minutes.

2. Once Leif and Autumn have all of the leaves in their yard in a huge pile, they decide to do a little math with their pile of leaves. They notice that all of the leaves are yellow and/or red. So, they decide that Leif will count the leaves with any red (5550 leaves) and Autumn will count the leaves with any yellow (6820 leaves). Then, they get their other little brother, Oakie, to come out and count the leaves that have both yellow and red on them (4370 leaves). Using their reported numbers, how many leaves are in the pile? Please just provide the number of leaves.

3. Leif bets Autumn that she can't reach into the middle of the pile and pull out three leaves with yellow on them in her first three picks, without replacement. Assuming the different kinds of leaves were all mixed up together again and randomly distributed throughout the pile, what is the probability that she will be successful? Express your answer as a decimal to the nearest hundredth.

Answers

Answer 1

Answer:

1. 93 min2. 123703. 0.17

Step-by-step explanation:

1. ...................................

Speed of Leif:

1/2.5 = 2/5 of the job in an hour

Speed of Autumn:

1/4 of the job in an hour

Together their speed is:

2/5 + 1/4 = 8/20 + 5/20 = 13/20

They spend total time for full job:

20/13 hour = 1 7/13 hour = 60 + 7/13*60 min ≈ 93 min

2. ...................................

Leaves with red = 5550Leaves with yellow = 6820Leaves with both yellow and red = 4370

Total number

5550 + 6820 = 12370

3. ...................................

Total number = 12370Yellow = 6820

Probability of 3 consecutive yellow leaves:

6820/12370*6819/12369*6818/12368 = 0.17 rounded to the nearest hundredths

Related Questions

solve for x: 2x- 2 =3(x- 2)​

Answers

Hey the answer to your question is x=4

Answer:

x=4

Step-by-step explanation:

2x- 2 =3(x- 2)

2x- 2 =3x- 6

    +2.      +2

2x.     =3x - 4

-3x.     -3x

-1x.    = -4

Divided - 1 both side

x=4

What do you learn in Algebra 2 that you did not learn in Algebra 1. Is Algebra 2 just a review?

Answers

a lot trust me only like the first few chapters are only algebra 1 stuff other than that it’s mostly all new

Answer:

what grade are you in, im in 7th but im doing algebra.

Step-by-step explanation:

Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67

Answers

Answer:

probably A

Step-by-step explanation:

???????? Helppppp :(

Answers

sorry man you’re on your own

Alana biked 15 miles in 1 hour. How many miles did she bike in 3 hours?​

Answers

Alana biked 45 minutes in 3 hours.

Answer:

45 miles

Step-by-step explanation:

15 miles = 1 hour

15 x 3 = x

x = 45

45 miles = 3 hours

A grass fertilizer is sold in 5-pound bags. Stuart calculates that he needs enough fertilizer to cover 4,350 square feet. If each pound of fertilizer covers 362.5 square feet, how many 5-pound bags does Stuart need to buy?

Answers

Answer:

3

Step-by-step explanation:

The diagram shows a dilation. Which dilation does it represent?
What is the scale factor?

Answers

Answer:

The diagram shows a dilation

Which dilation it represent ?

Enlargement  

What is scale factor?

2

Step-by-step explanation:

I hope I helped

The type of the dilation is enlargement and with a scale factor of 2.

What is dilation?

The stretching or shrinking of the image after transformation is called dilation.

Given that, The diagram shows a dilation.

As we see that, the length of OA = 3 units and

Length of OA' = 3+3 = 6 units

That means, figure is stretching, that means the type of the dilation is an enlargement.

The scale factor = 6/3 = 2

Hence, the type of the dilation is enlargement and with a scale factor of 2.

Learn more about dilation, click;

https://brainly.com/question/13176891

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Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.

Answers

Answer:

it has more than 2 factor

Answer:

I think its b I'm pretty sure

apesapesapesapesapesapesapesapesapesapesapesapesapesapes

Answers

Answer:

can you be more specific with your question?

Step-by-step explanation:

As what I understood your question to be

(a-t)^2 -(t + a)

when a is 8, and t is 3

(8-3)^2 - (8+3)

(5)^2- (11)

25- 11

= 14

what is the slope of the line? SOMEONE HELP ME PLSSS

Answers

The slope of the line is 3/2

please solve-3(×-2)=2(×-7) and write a reason for each step ​

Answers

-3(x - 2) = 2(x - 7) remove the parentheses
-3x + 6 = 2x - 14. Move the terms
-3x - 2x = -14 - 6. Collect like terms. Calculate.
-5x = -20. Divide both sides.
Solution: x = 4

the domain _ is the set of inputs for a function

Answers

78 is the set of inputs for a function

Plz help me with 6th grade math- I’m dumb

Answers

It’s length times width time height so the first one should be 75 and I have a link to answer them reply If you want it?

Find the Error A student graphs the relationship y = x on a coordinate plane. She says the slope is O because there is no coefficient. Find her
mistake and correct it.

Answers

Answer:

y=x times factor of 12 abstracted by -93

Step-by-step explanation:

The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.

What is the slope?

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

As per the given, y = x

The x's coefficient is 1 thus slope will be 1.

Or, y/x = 1

Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".

To learn more about slopes,

https://brainly.com/question/3605446

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Which of the following ordered pair(s) is/are solutions to the following system of
equations?
3x - 5y = 15
5x – 10y = 25
(11,3)
(3. - 1)
(-7,- 6)
All of the above

Answers

Answer:

none of them the correct answer is (x,y) (5,0)

Pre-calc. I need help NOW

Answers

X=0, x+4=0, and x-4=0. x=0, -4,4

The number of students enrolled at a college is 13,000 and grows 4% each year, what is the initial amount

Answers

Answer:

13,000

_____

4%

I'm sorry if this is incorrect

Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!

Answers

Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

The answer to your question is 3 because I did this same thing and it was 3

HELP !
CLICK ON THE PHOTO FOR QUESTION. ALOT OF POINTS GIVEN AWAY!

Answers

Answer:I believe the answer is A.

Step-by-step explanation:

0.05 x 51.00 = 2.55

2.55 + 51.00= 53.55

What is the opposite of –0.8?

Answers

Answer:

0.8

Step-by-step explanation:

its positive not negative

Answer:

0.8

Step-by-step explanation:

Common Sense sir

I need help if you can help me plz I would really appreciate it ?

Answers

Y=-3x+8 by using slope intercept form

Answer:

y = ( - 3)x + 8

Step-by-step explanation:

(1, 5),

(8, - 16)

m = ( - 16 - 5 ) / (8 - 1) = - 3

y - 5 = - 3(x - 1)

y = ( - 3)x + 8

6143 × 45 work out ​

Answers

Answer: 276,435

Step-by-step explanation:

yes

Which table represents y as a function of x?
PLEASE HELP??
OR BRAINLIEST:((??

Answers

i believe the correct answer is B

Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 years.​

Answers

Answer:

400 times 8%= 32 times 3=96

Step-by-step explanation:

18inch/4secs how far would the car travel in 1 second?

Answers

Answer:

4.5 inch per 1 sec

Step-by-step explanation:

18/4=4.5

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation. Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

Answers

Answer:

25

Step-by-step explanation:

The kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Calculating Kinetic energy

From the question, we are to determine the kinetic energy of the ball

From the given equation for the velocity,

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

We will make K the subject of the equation

 [tex]v = \sqrt{\frac{2K}{m} }[/tex]

Take the squares of both sides

[tex]v^{2} ={\frac{2K}{m} }[/tex]

Multiply both sides by m

[tex]mv^{2} ={\frac{2K}{m} } \times m[/tex]

[tex]mv^{2} =2K[/tex]

∴ [tex]K = \frac{1}{2} mv^{2}[/tex]

Now, for the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second

That is,

m = 2 kg

and v = 5 m/s

Putting the parameters into the equation, we get

[tex]K = \frac{1}{2} \times 2 \times 5^{2}[/tex]

K = 25 J

Hence, the kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Learn more on Calculating kinetic energy here: https://brainly.com/question/25959744

Here is the complete question:

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation.

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

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What is the area of the figure?
3 yd
6 yd
9 yd
Syd

Answers

Answer:

D) 48 yds^2

Step-by-step explanation:

A=(h(b)b)/2

Right side triangle equals 12

Left side triangle equals 9

A=wl

Rectangle equals 27

9+27+12=48

What is the square root of 1,567?

Answers

39.5854 (this answer is rounded)

Answer:

39.585

Step-by-step explanation:

how to find square root of 8653

Answers

Answer:

I don't think you can so keep the number 8653 under the radical :)

Answer:

you cant do it so keep the number 8653

Step-by-step explanation:

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