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

HELP MATH EXPERTS ! Points 15 !!.

Answers

Answer:

its B

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

it's quite simple actually. It's so simple I don't know how to explain.

Please give an answer asap! This is due today, and I will give brainliest.

Answers

Answer:

3rd one

Step-by-step explanation:

The last one

Answer:c

That is

s ss s ss s ss s ss s s ss

what is The difference of 2.1 and twice a number p is negative 4.7 converted to numbers

Answers

Answer:

3.4 or 3 and 2/5

Step-by-step explanation:

Plz help me I need it done

Answers

Answer:

75 degrees

Step-by-step explanation:

Straight angles are 180, so since we already know one side (105 degrees). This means that 105+x=180

If you solve it you get 75

six more than a number ,x, YOOOOO PLZ USE AN ALGEBRAIC EXPRESSION/EQUATION

Answers

Answer: 6+x or x+6

Step-by-step explanation:

You are adding 6 to a number, in this case, we'll use x.

Pls help I’m begging

Answers

Answer:

3:1 and 15:5

Step-by-step explanation:

Not too sure

Pre-calc. I need help NOW

Answers

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

Please help for brainliest.

Answers

Answer:

C

Step-by-step explanation:

The answer is c 57.29 so the problem would be (y=0.05x750+19.79) 0.05x750=37.5 then 37.5+19.79=57.29 so y= 57.29

ILL MARK U BRAINLIEST!!

One out of four girls favorite color is red, and three out of four girls favorite color is pink. If there were 500 girls , how many of them favorite color would be red?

Answers

Answer:

125

Step-by-step explanation:

1/4 of 500 (the total number of girls) is 125.

HTH :)

Rotate the image 180° about the origin. Give the new coordinates of the image.

Answers

Answer:

2 my nigher

Step-by-step explanation:

how do you do this? plz help me with math!

Answers

Answer:

it's x=50 hope this helps

Answer:

[tex]\frac{50}{5}[/tex] is the answer

Step-by-step explanation:

you would times 10 by 5 and you have your answer

Find the value of x.

Answers

The answer to the question is 30

What is the transformation!
reflection, rotation, translation, none of them !

Answers

Answer:

translation

Step-by-step explanation:

Sliding: moving a shape without rotating or flipping it.

Reflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:

Answers

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

Ronnie made 5 pies for New Year's Day. Some of his family members are allergic to gluten, so he bought gluten-free flour for all of the pies. For each piecrust, he used 2 cups of flour. Health Mart sold bags with 4 cups of gluten-free flour for $12. How much did Ronnie spend on the gluten-free flour so that he had enough for the crusts?

Answers

Answer:

He spent $24 dollars

Step-by-step explanation:

Each of the piecrusts had 2 cup of flour he has 5 pies so all pies altogether equally 10 cups so he buys 2 bags for $24 dollars

Step-by-step explanation:

Number of gluten-free flour used for 5 pies= 2×5= 10 cups

cost of 4 cups of gluten-free flour = $12

cost of 1 cup = 12/4 = $3

Then,

cost of 10 cups of gluten-free flour = 3×10

= $30

Explain how you determine the sign of your answer when you raise a negative base to a power.

Answers

Answer:

If the power is even number sign will be positive.

If the power is odd number sign will be negative.

Example:

-2²  = -2 * -2 = 4

-2³  = -2 * -2 * -2 = 4 * -2 = -8

Trisha’s parents bought a new house that has 2,255 square feet.
The price per square foot was $98. How much did they pay for the house? Enter your answer in the box.

Answers

Answer:$220,290

Step-by-step explanation:

2,255 multiplied by 98 is 220,290

The total cost of Trisha’s parents new house is $220990.

Given that, Trisha’s parents bought a new house that has 2,255 square feet.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The price per square foot was $98.

So, the total cost of house = Number of square feet × The price per square foot

= 2,255 × 98

= $220990

Therefore, the total cost of Trisha’s parents new house is $220990.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

2x + 5 greater then or equal to -1

Answers

So according to this equation
2x+5=-1
=>2x = -1-5(when 5 goes to the right side it sign changes)
=>2x = -6
=>x = -6/2 (when 2 goes to the right side it gets divided)
=> x = -3
Answer is the value of x is -3.
HOPE IT HELPS YOU!

Write addition sentences (expression) where the sum is
zero.

Answers

0+0 that’s all i think
Or you could do a number plus it’s “negative equal”
Example:10+(-10)

PLEASEEEEE HELPPP!!!
HL
AAS
ASA
SSS
SAS
Unknown

Answers

angle angle side (AAS) we see the there are dash marks on each of the angles and the triangles share one side. pls give brainliest if possible. have a good day!!

Need helpp Hurry to get brainliest!!

Answers

Answer:

x =30

Step-by-step explanation:

4x + 40 = 6x-20 (set them equals)

40= 6x-  20-4x

40+20=2x

2x=60

divide by 2

x=30

Answer:

the answer is x=7

Step-by-step explanation:

Tyson got a $15 gift card to use on song and movie downloads to his tablet. Each movie, m, costs $5 and each song, s, costs $1. Tyson's mom said he must use fewer than 10 downloads and that his total cost could not exceed the $15 amount on the gift card. Which of the following graphs shows the solution set of the system of inequalities?​

Answers

Answer:

c

Step-by-step explanation:

bla bla bla

The solution to the inequality m + s = 10  and 5 m + 1s = 15 is shown in the graph attached below, and as it can be seen the coordinated of intersections are  (8.75, 1.25), so option C is correct.

What is inequality?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

Total balance on card = $15,

The cost of each movie = $5,

The cost of each song = $1

The number of downloads  = 10,

Write the equation as shown below,

m + s = 10  and 5 m + 1s = 15

Here m is the number of movies and s is the number of songs,

Solve the equation by elimination method,

m = 5/4  = 1.25 and s = 35/4 = 8.75

As you can see, the value of the intersection of inequalities is (8.75, 1.25),

the graph is attached below.

To know more about inequality:

https://brainly.com/question/2038369

#SPJ2

What is the total price of a $32 restaurant tab if you leave a 20% tip?

Answers

Answer:

About 38 dollars

Step-by-step explanation:

If there is a 20 percent tip ten it would be 1/5 of the amount. Then the answer would be 38.

How do you write the fraction-3/4 into a decimal

Answers

-.75. 3÷4 = 75. put a negative sign beside it and it’ll be negative boom.

Answer:

-0.75

Step-by-step explanation:

Hope that helps you have a great day!

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

4. When Hillary and Winston go to the grocery store together, Hillary buys eight boxes of gummies and Winston buys four boxes of gummies. If Winston buys 16 boxes of gummies, how many does Hillary buy?

Answers

Answer:

32 boxes of gummies

​(​4,8​) and ​(-2​,16​). how do you find the y-intercept

Answers

Answer:

Look at explanation

Step-by-step explanation:

All you have to do is plot these points on a graph. Then make a straight line through them.

The y-intercept is the point of the line that passes through y, the vertical line.

The example shows that the y-inercept is (0, 3)

Answer:

you would minus the ys and minus the xs and turn them into a fraction

Step-by-step explanation:

Write a recursive rule for the sequence –17.-11, -5, 1, ...
show complete working format please ​

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 with a₁ = - 17

Determine the domain and the range for this relationship.

Drag the tiles to the correct locations on the image. Not all tiles will be used.

(Several can be placed in one section, but not all of them will be placed.)

A. 0 ≤ x ≤ 6
B. 0 ≤ x ≤ 72
C. {0, 12, 24, 36, 48, 60, 72}
D. {0, 1, 2, 3, 4, 5, 6}
E. {0, 1, 2, 3, 4, 5, 6}
F. 0 ≤ y ≤ 72
G.{0, 6, 12, 18, 24, 30}
H. 0 ≤ y ≤ 6

Answers

Answer:

how are we supposed to know the answer if we don't know the problem?

Step-by-step explanation:

It makes no sense

Can someone please help me

Answers

Answer:

dilation factor is 4

Step-by-step explanation:

what did you had to multiply the side of the small initial picture by to get the big picture?

-the small side that is 2 became 8 so you multiplied by 4

Other Questions
Which articles did she read about this experimental vehicle?Which word is the direct object?Whichshearticlesvehicle Jason has a lemonade stand but he already made $26 he charges his customers one dollar per lemonade Kaylee has a lemonade stand where she made $16 and she charges the customers two dollars per lemonade which equation shows the number of lemonade, eggs, Kaylee needs to sell to make a higher profit than Jason. A. 26-x26x+1 Why cant china play baseball? what is slope intercept form? What problem of the respiratory systems is almost always caused bysmoking?1 pointbronchitisemphysemapneumoniaO tuberculosis Use context clues to choose the sentence that best uses the third definition of the word lore.Jasmines grandmother passed all of the familys lore on to the younger generation.The measurement of the lore told us exactly what bird species we had found on the island.In his personal library, the retired gardener stored his handmade volumes of plant lore. The lizards green lore was slightly darker in color than the rest of its face and body. The Lanham Act applies to through the Commerce Clause. A store sells candy at $.50, $1, $1.50, $2, and $3 per kilogram.You see that the unit price of candies and the amount of candies that $3 buy vary inversely. What is the constant of variation. Multiply the pairs of numbers and match them to their products. Did parliament serve as a model for American legislaturesTrue or False ok so i have to Write about a time when you had an unexpected learning experience. What happened? What did you learn? and im not good at writing so like can u help me but like make it fake btw im a girl sooooo idk but pls helppp is the word Manchester ( which is a parish) an abstract noun The exchange of carbon dioxide and oxygen in the alveoli of the lungs is an example of what?C)passive transport Phillipe says he cannot simplify the expression 5^c 2^c. Complete the statement about Phillipe's claim. How did the expulsion of the Jews from Rome in A.D. 49 by Emperor Claudius drastically change the character of the church in Rome? and rates: word problems ZB9Last summer, the Abrams family had a 30-gallon baby pool that they could fill in just 2minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water.If the Abrams fill the larger pool at the same rate, how long will it take to fill it? what is the square root of 24. What laws protected against the segregation of Mexican children from the Lemon Grove school house? Please help :((((( only if you know though pls. Plz help!!!!The "British Invasion" that began in 1964 refers to A. British influence on national politics in the United States. B. the British invasion of Western Europe during World War II. C. the British invasion of Southeast Asia after World War II. D. British influence on rock 'n' roll music in the United States.