Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How many hours does it take Shirley to mow the lawn alone? Round your answer to two decimal places, if needed.

Answers

Answer 1

Shirley will take 8 hours to complete mowing the field alone.

We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.

So, work done if 1 hour together = 1 / 6

Also, we are given that Pam takes three times as long as Shirley when she works alone.

Time taken by Pam = 3 times Time taken by Shirley.

Let the time taken by Shirley be y.

Job done in 1 hour = 1 / y

Time taken by Pam = 3 y

Job done in 1 hour = 1 / 3y

ATQ:

1 / y + 1 / 3 y = 1 / 6

4 / 3 y =1 / 6

24 = 3 y

y = 24 / 3

y = 8 hours.

Therefore, Shirley will take 8 hours to complete mowing the field alone.

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Related Questions

help pleaseeeeeeee guys :)?

help pleaseeeeeeee guys :)?

Answers

Answer: plot one at -1 and the other at 5

Step-by-step explanation:

The Vertical intercept (0, 1/2)

PLEASE HELP!! I DONT GET THIS LOL

PLEASE HELP!! I DONT GET THIS LOL

Answers

Answer:

Step-by-step explanation:

The solution to a pair of linear equations will be at their common intersection.

Appears to me to be at (2, 4)

but we could check the math

y = x + 2

4 = 2 + 2

4 = 4  checks out on that line

y = -0.5x + 5

4 = -0.5(2) + 5

4 = -1 + 5

4 = 4  yup, checks out on that line too.

That will be the ONLY point that satisfies both equations.

IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS​

IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS

Answers

Answer:

5/6

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

4        5           20             2

-   x   -       =      -      =       -

5       6            30             3

solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n

solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n

Answers

The solution to the inequality expression is n < -9

How to solve the inequality expression?

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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What’s the end behavior

Whats the end behavior

Answers

Answer:

First choice

Step-by-step explanation:

Looking at the graph, as the line gets further to the right (positive x, also displayed as x-> infinity) the line continues downwards in the y (vertical) direction

Looking at the graph, as the line gets further to the left (negative x, also displayed as x-> -infinity) the line continues downwards in the y (vertical) direction

Thus, the end behavior is -infinity for both ends

First choice is going to be your answer.

Four less than three times a number is 14

Answers

3x-4 = 14

3x - 4 +4 = 14 + 4

3x = 18

3x/3 = 18/3

x = 6
4< 3•14 Then just multiply

translate the sum of x and one half of x into a mathematical expression

Answers

Answer:

The above statement is written as

\(x + 1 \times \frac{1}{2} of \: x\)

of means multiplication

So the final answer is

\(x + \frac{3}{2} x\)

Hope this helps you.

You work independently as a copier salesperson. Last month, you sold 26 printers at a cost of $1,750 each. The cost of goods sold for each printer is $975. Additional operating expenses include your salary ($3,000/month), advertising ($50/month), and office lease ($550/month). Use this information to calculate (a) your gross profit and (b) your net income.

Answers

To calculate the gross profit, we need to subtract the cost of goods sold (COGS) from the revenue generated by sales. The revenue generated by sales can be found by multiplying the number of printers sold by the selling price of each printer, which is $1,750.

Revenue generated by sales = 26 x $1,750 = $45,500

The cost of goods sold for each printer is $975, so the total cost of goods sold for all 26 printers is:

Total cost of goods sold = 26 x $975 = $25,350

Therefore, the gross profit can be calculated as:

Gross profit = Revenue generated by sales - Total cost of goods sold

Gross profit = $45,500 - $25,350

Gross profit = $20,150

The gross profit is $20,150.

To calculate the net income, we need to subtract all operating expenses from the gross profit. The operating expenses include your salary ($3,000/month), advertising ($50/month), and office lease ($550/month).

Total operating expenses = $3,000 + $50 + $550

Total operating expenses = $3,600

Therefore, the net income can be calculated as:

Net income = Gross profit - Total operating expenses

Net income = $20,150 - $3,600

Net income = $16,550

The net income is $16,550.

In summary, the gross profit is the revenue generated by sales minus the cost of goods sold, which in this case is $20,150. The net income is the gross profit minus all operating expenses, which in this case is $16,550.

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900 d 180 nd the SP when: CP = Rs. 950, gain = 6 1%4 ​

Answers

Respuesta:

????????????,,,???

Step-by-step explanation:

THERE ARE STEPS TO THIS

Find the sale price of a $70 item after a 20% discount.Find the sale price of a $70 item after a 20% discount.

Sale Price:

Answers

The sale price of a $70 item after a 20% discount is $56.

What is discount?

A discount is a reduction in the price of a product or service. It is often used as a marketing strategy to entice customers to purchase products or services by offering them at a lower price than their original value. Discounts may be expressed as a percentage or a fixed amount of money. For example, a store may offer a 20% discount on all products, or it may offer a discount of $10 on a specific product.

To find the sale price of a $70 item after a 20% discount, we can use the following formula:

Sale price = Original price - Discount amount

First, we need to find the discount amount, which is 20% of the original price:

Discount amount = 20% of $70

Discount amount = 0.20 x $70

Discount amount = $14

Now we can use the formula to find the sale price:

Sale price = $70 - $14

Sale price = $56

Therefore, the sale price of a $70 item after a 20% discount is $56.

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(2x-1)^4 solve the polynomial

Answers

Expand the expression like this, 16x^4 - 32x^3 + 24x^2 - 8x + 1

Surface area triangle prism 3in ,3in ,3in 2.6 in, 7 in

Answers

Answer:

The answer is 70.8

Step-by-step explanation:

You do 7x3 times 2 and then 3x2.6 and then 7x3 again. You add them all up and get 70.8

21 + 21 + 3.9 + 3.9 + 21 = 70.8

Please, help me.
What is it.

Please, help me. What is it.

Answers

The answer should be A. 5^3

The product of two positive integer numbers is 40 and the sum of the same two numbers is 13.

Answers

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

A virus takes 11 days to grow from 60 to 200. How
many days will it take to grow from 60 to 590? Round to
the nearest whole number.

Answers

Answer:

since t takes 11 days for 200 the answer should be from 60 to 590

Step-by-step explanation:

it will take 53 days for 590

Two times a number x, less 15, is greater than or equal to 4 times the number y

Answers

Answer:

2x - 15 ≥ 4y

Step-by-step explanation:

Write the sentence as an equation.

106 more than the quantity 68 times y is the same as 36 decreased by y

Answers

Answer: 68y+106=36-y

An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.

Answers

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

What is lowest value of iphone ?

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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Elsie saved the money from her summer job. In
August her savings account had $1,250. Each
month she must pay her cell phone bill of $65.
After how many months will Elsie have less than
$800 in her account?

Answers

Answer:

7 months.

Step-by-step explanation:

1250-800=450. so more than 450 has to be spent and that comes out to 7 months where you'll spend 455

Find the first five terms of the following sequence, starting with n=1.

Find the first five terms of the following sequence, starting with n=1.

Answers

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Please help me
I’ll mark brainiest

Please help me Ill mark brainiest

Answers

Answer:

which number

every of them?

Need answers please help

Need answers please help

Answers

Answer

Yes, zero is contained in the interval

Ten blackberry plants start growing in my yard. Absent constraint, blackberries will spread by 200% a month. My yard can only sustain about 50 plants. Using the logistic growth model, a. Write a recursive formula for the number of blackberry plants in my yard b. Calculate the number of plants after 1, 2, and 3 months

Answers

The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The recursive function

The given parameters are:

Initial = 10Maximum = 50Growth rate = 200%

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The number of plants after 1, 2, and 3 months

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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Solve the system by graphing. (If there is no solution, enter NO SOLUTION.)y < −2x + 2y≥−x − 2

Answers

Okay, here we have this:

Considering the provided system of inequations, we are going to solve the system by graphing, so we obtain the following:

And the solution of a system corresponds to the segments where it intersects, that is to say that in this case it is the dark purple section. The solution to the system will be the area where the shadows of each inequality overlap. Finally we obtain that the system has unlimited solutions.

Solve the system by graphing. (If there is no solution, enter NO SOLUTION.)y &lt; 2x + 2yx 2

the volume of the cone shown below is 108pie cm^3. What is the value of H?
Use V=1/3PIE r^2 for the volume of a cone

the volume of the cone shown below is 108pie cm^3. What is the value of H?Use V=1/3PIE r^2 for the volume

Answers

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

The fraction 64/72 is a

Answers

Simplify: 64/72 = 8/9
Hope this helps, If it is pls Brainliest !!

Answer:

proper fraction

Step-by-step explanation:

This is a proper fraction, which has a numerator smaller than the denominator

a mixed number has a whole number in front  such as 1  3/5

An improper fraction has a numeration greater than a denominator such as 7/6

Solve the following system of equations

y = -x^2+3x+18
y = -2x+4

A.) (-7.8) and (2,10)
B.) (2,20) and (11,-18)
C.) (-2,8) and (7,-10)
D.) (-2,-20) and (-11,18)

Answers

Answer:

\(\boxed{Option \ C}\)

Step-by-step explanation:

\(y = -x^2+3x+18\\y = -2x+4\)

Equating both equations

=> \(-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0\)

Using mid term break formula

=> \(x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0\)

Either,

x + 2 = 0     OR    x - 7 = 0

 x = -2         OR      x = 7

For, x = -2 , y is

=> y = -2x+4

=> y = -2(-2)+4

=> y = 4+4

=> y = 8

So, the ordered pair is (-2,8)

For x = 7 , y is

=> y = -2(7)+4

=> y = -14+4

=> y = -10

So, the ordered pair for this is (7, -10)

Solution Set = {(-2,8),(7,-10)}

Answer:

The answer is option C

Step-by-step explanation:

y = - x² + 3x + 18

y = - 2x + 4

Since they are both equal to y we equate them

That's,

- x² + 3x + 18 = - 2x + 4

x² - 5x - 14 = 0

Solve the quadratic equation

x² - 5x - 14 = 0

x² + 2x - 7x - 14 = 0

x(x + 2) - 7( x + 2) = 0

( x - 7)(x + 2) = 0

x - 7 = 0 x + 2 = 0

x = 7 x = - 2

Substitute the values of x into y = - 2x + 4

That's

when x = 7 when x = - 2

y = - 2(7) + 4 y = - 2(-2) + 4

y = - 14 + 4 y = 4 + 4

y = - 10 y = 8

So the solutions are

(7 , - 10) and ( - 2 , 8)

Hope this helps you

Simplify the expression(2x²y)^3

Answers

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

30 POINTS PLEASE SOLVE please explain step by step 1. solve the following PROBLEM (meaning #1 ) using the order of operations A. Expression 1 solve- 3^4-(9+ 6)⋅5+4^0 B. Expression 2 solve- 5^2+ 4⋅(2+6)-2⋅2-1 2. The average distance from the sun to the planet Mercury is about 60,000,000 km. The diameter of a human hair is about 0.0025 cm. (a) What is the distance from the sun to Mercury written in scientific notation? (b) What is the diameter of a human hair written in scientific notation? (c) Bonus Question – To subtract the measurements in Parts (a) and (b), what do you have to do first? 3. The population of Columbus, Ohio, in 2014 was about 825,000. The population of the United States was about 320 million in 2014. (a) Write each population in scientific notation. Columbus, Ohio: The United States: (b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work!

Answers

Answer:

b

Step-by-step explanation:

Answer:

1. A =63

B=37

Step-by-step explanation:

Ok so first we solve the whole problem bye using PEMDAS= PARENTHESES, EXPONETS, MULTIPLICATION, DIVISION, ADDITION AND SUBTRACTING. So we start with the (9+6) = 15 then the 3^4 =12 then multiply 15x5=75 then add the 4 to the 75=79 then get the 12 and sub the 79-12= 63 is the answer for a now for b

So Get the (2+6) =8 then 5^2=10 then4x8=32 now 2x2= 4 then 10+32=42 - 4=38-1=37 is the answer

Hopefully i helped I would appreciate if I get brainliest!

30 POINTS PLEASE SOLVE please explain step by step 1. solve the following PROBLEM (meaning #1 ) using

The average human heart beats 1.037 x 105 times per day. The approximate average mouse heart beats
1.008 × 10 times per day. On an average, how many beats more does the mouse heart beats in a day?
09.043 x 105
O 2.9 x 10¹
8.942 × 10¹
1.029 × 10²

Answers

On an average 9.043 \(\times10^{5}\) beats more does the mouse heart beats in a day.

The average human heart beats = 1.037\(\times10^5\) times per day.

The approximate average mouse heart beats = 1.008\(\times10^6\) times per day.

We have to find the how many beats more does the mouse heart beats in a day.

Since we have to find the more heart beat of mouse comparing to the human heartbeats. So we subtract their heart beat.

The human heartbeats have \(10^5\) while mouse heartbeats have \(10^6\). So we first equal the power of 10. After equal the power we can easily find the value of the more heart beat of mouse.

We can write,

The average human heart beats = 0.1037\(\times10^6\)

Now,

The more heartbeats of mouse = average mouse heart beats − average human heart beats.

The more heartbeats of mouse \(= 1.008\times10^6-0.1037\times10^6\)

The more heartbeats of mouse \(=(1.008-0.1037)\times10^{6}\)

The more heartbeats of mouse = 0.9043\(\times10^{6}\)

The more heartbeats of mouse = 9.043\(\times10^{5}\)

Hence, on an average 9.043\(\times10^{5}\) beats more does the mouse heart beats in a day.

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class quuestion 3x + 2 = 6x -10 In astronomy, distances are often expressed in lightyears. One lightyear is the distance that light travels in one Earth year. The distance to Alpha Centauri, the next closest star, is 4.3 lightyears away. How far is this in meters? is this non-linear help asap thank you Tom is applying for a visa. He has to pay 2,300 for the visa as well as a 7% charge on the visa price for an on-the-day service. If Tom has 1 year to save, how much money should he save per month to be able to cover his costs? Round your answer to the nearest 10. If the required reserve ratio is 11%, and 5^th Bank receives a deposit of$100,000, how much may 5^th Bank loan out?a. $89,000b. $55,000c. $11,000d. $8,900 On a supply and demand graph, the demand curve generally does what?1. slopes upward from left to right2. slopes up, then down3. slopes downward from left to right4. slopes down, then up Simplify the expression 4x^3 x 2x^3 BRUH CAN SOMEONE HELP ME PLZZZZZZZZZZZZ During the Scientific Revolution many scientists and philosopherschallenged traditional practices by POV: You have a popular podcast. On your podcast, you frequently interview & discuss celebrities and local heroes. Interview someone in your family, or someone famous.Create a slide about that person and present what you learned. (Pretend that you are interviewing your mom or someone from your family. Then restate or summarize "their" answers.)Answer the following questions while acting like you are restating/ summarizing your interview answers.1) What is your name(English)Como te llamas? (Spanish)Se llama___(3rd person (he/she) description)2)Where are you fromDe donde eres?Es de ___3)When is your birthdayCundo es tu cumpleaos?Es el _______ de ______.4) How old are you?Cuntos aos tienes?Tiene __________ aos.5)Do you have siblings?Tienes hermanos?(no) Tiene____ hermanas.6)How are you feeling?Cmo ests?Est __________.7)What did you like to do?Qu te gustaba hacer?A___________ le gustaba________.8)What class do you like?Qu clase te gustaba?A________ le gustaba la clase de_______.9)Where did you go after school?Adnde fuiste despus de la escuela?Fue a __________.10)What was your favorite food?Cual era tu comida favorite?Su comida favorita era _________.11)Whats your daily routine like?Cmo es tu rutina diaria?Primero (reflexive verb- present tense) Despues, ______________.Entonces _________________ .Al final ______________ .Use proper grammar and have appropriate sentence structure.(Use present tense, Reflexive Verbs, Preterite Tense, and Imperfect Tense when you are supposed to)Also, it would be very helpful if you kinda write a script since I have to present this for my final...THANKYOU!!! What is wrong with the electron configuration below?1s2 2s2 2p5 3s2 3p6 4s1 Which property states that the sum of any two whole number is always a whole number? Examine rectangle JKLM, shown below.If JN=x+3 and JL 3x + 1, determine which of the following values is correct a cyclist must travel 800 km. How many day will the trip take if the cyclist travels 8 h/day at an average speed of 16 km/h ? how much energy, in joules, must the shock absorbers dissipate in order to damp a bounce that initially has a speed of 0.85 m/s at the equilibrium position? What particle revolves around the center of the atom? What is its Charge? WHAT IS A in the acronym RACE? What does it mean when we say that a factory or other workplace is a sweatshop? What kinds of things are included in notebooks and journals that arent normally included in diaries? (Select all that apply.)1. scientific notes2. diagrams3. accounts of daily life4. drawings Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is two trucks per hour, and the mean service rate is seven trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the truck dock will be idle? b. What is the average number of trucks in the queue? truck(s) C. What is the average number of trucks in the system? truck(s) d. What is the average time a truck spends in the queue waiting for service? hour(s) e. What is the average time a truck spends in the system? hour(s) f. What is the probability that an arriving truck will have to wait? g. What is the probability that more than two trucks are waiting for service?