A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?

Please show working out.

Answers

Answer 1

Answer: 30 people

In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:

Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres

Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people

Related Questions

Mr. Brown owned a house a house, which he rented for $60 a month. The house was assessed for $9000. In 1975 the rate of taxation was increased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?

Answers

We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month

Using the following data, calculate the mean absolute deviation:

7 2 8 5 9 9 5 6 8 1

What is the mean absolute deviation for these data?

Answers

First calculate the mean
7+2+8+5+9+9+5+6+8+1=60
60/10=6 = mean
To calculate MAD, find the mean of the differences between each value and the mean.
1+4+2+1+3+3+1+0+2+5=22
22/10=2.2
Final answer: 2.2

Answer:

kphung76127 is right. It is 2.2

Step-by-step explanation:

I got it right on a test.

Marisa painted 1/2 of her bedroom in 3/4 of an hour.At this rate how long will it take her to paint the entire room. Please help as fast as possible.

Answers

3/4(2)=6/4=1 1/2

It will take Marisa 1 1/2 hours to paint the entire room. Hope this helps!

she did 1/2 , so she has 1/2 more to do

it took her 3/4 so multiply that by 2

3/4 x 2 = 1 1/2 hours total

Which number is the farthest from two on the number line

Answers

Square root of 2.1
This is because it's the smallest number, therefore the number that multiplies by itself to get 2.1 is the smallest also.
Therefore it has greater range from 2

Answer:

2.1 is the answer

Step-by-step explanation:

Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. After a year, Jeremy prices his chocolates at $3 apiece. He offers a discount of 10% on boxes of chocolate to promote the sale of boxes. How many boxes of chocolate would he have to sell to recover the cost of running the business this year per month? (Assume that he sells no individual chocolates.)
A. 188 boxes
B. 208 boxes
C. 226 boxes
D. 232 boxes

Answers

1500 per month rent + 6000 per month manufacturing and raw materials....so he pays a total of (6000 + 1500) = 7500 per month

after a year, hr prices his chocolates at $ 3 a piece....there are 12 pieces in each box....so each box cost (3 * 12) = $ 36......but he offers a discount of 10%....so ur actually paying 90%....0.9(36) = 32.40 per box

7500 = 32.40x
7500 / 32.40 = x
231.48 = x....so he would have to sell 232 boxes to break even <=

find the product of 6 and 4296

Answers

The product is multiplication
6*4296=25776
hope this helps!

The product of 6 and 4,296 would be 25,776 because product means multiply so you have to multiply 4,296 by 6.

what is 10000 more than 46952 and what is the missing
number

Answers

10000 more than 46952 is 56952

46,952 + 10,000 is 56,952

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Answers

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.

Isabella wrote 0.0135<0.01350 because 135 <1350.Is Isabella correct?Why or Why not?

Answers

She is wrong because 0.0135=0.01350

What two numbers make the product of 12 and have the sum of 7?

Answers

3 and 4

product: 3x 4 = 12
sum: 3+4 = 7

What happens to a horizontal line if you rotate it 90 degrees counterclockwise ?

Answers

it becomes a vertical line, because it is sideways, and if it is rotated 90 degrees, then it becomes vertical
hope this helps, and sorry if im wrong

the lines shown below are perpendicular. if the green line has a slope of -2/3, what is the slope of the red line?

Answers

the slope is opposite so, 3/2

Answer:other guy was correct 3/2

Step-by-step explanation:

A box of photographs contains 13 wedding photographs 4 vacation photographs and 8 holiday photographs one is randomly selected what is the probability that the photograph is a holiday photograph given that it is not a wedding photograph

Answers

probability=desired outcomes/total possible outcomes

so
desired outcomes is the 'not wedding' photos
there are 4 vacation and 8 holiday
so 12 'not wedding' photos
12=desired outcomes

total outcomes is 13+4+8=25

so the probablity would be 12/25 or about 48%

The probability that a randomly selected photograph from the box is a holiday photograph, given that it is not a wedding photograph, is 2/3 or approximately 0.67.

The question involves calculating the probability of drawing a holiday photograph from a box, given that the photograph is not a wedding photograph. First, we determine the total number of non-wedding photographs, then we find the probability that a photo selected is a holiday photograph from that subset.

There are 13 wedding photographs, 4 vacation photographs, and 8 holiday photographs. Given that we're not selecting a wedding photograph, we're only considering the vacation and holiday photographs, which total 4 + 8 = 12 photographs. The event of selecting a holiday photograph then has 8 favorable outcomes (since there are 8 holiday photographs).

The probability that the photograph is a holiday photograph given that it is not a wedding photograph is calculated by dividing the number of holiday photographs by the total number of vacation and holiday photographs:

Probability = Number of holiday photographs / Total number of non-wedding photographs = 8 / 12 = 2/3 or approximately 0.67

HELP PLEASE ASAP!!!!

What are the 3 methods for solving systems of equations?

If a system has no solution, how does it look on a graph?

Answers

THE SOLUTIONS OF A SYSTEM OF EQUATIONS

A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.

A system of two linear equations in two unknowns might look like

This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?

Answers

22500 = 2p

The reason for the 2 is that the new car was twice that the new car was twice the old car.

Answer:

The Equation would be P(x) = [tex]\frac{x}{2}[/tex]

Step-by-step explanation:

The Equation states that the price of the old car P is equal to half the price that she paid for her new car (x). Since she paid $22,500 for her new car, we can use the equation to figure out how much she paid for her previous car.

[tex]P(x) = \frac{22,500}{2}[/tex]

P = $ 11,250

So $11,250 is what Ms. Banerjee paid for her previous car.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

PLEASE HELP!!
Factor completely: x2 + 6x + 8

Answers

8(x + 1) Is the answer

Hey!

Let's simplify this...

x² + 6x + 8 --------> Now, we need to find two numbers that multiply to 8 and also add up to 6
factors of 8
1
2 ---->
4 ----> These two multiply to 8 and add up to 6
8

Let's solve this now!

x² + 6x + 8
(x + 4)(x + 2) ----> If you want to check your answer just FOIL them
Your x-intercepts will be -4 and -2

Hope this helps! :D

Please vote me for Brainliest if there is a second answer!

1. A sum of money doubles in 20 years on simple interest. It will get triple at the same
rate in:
a. 40 years
b. 50 years
c. 30 years
d. 60 years
e. 80 years

Answers

First find the interest rate of the sum of money doubles in 20 years
2p=p (1+rt)
2=1+rt. T=20 years
2=1+20r
Solve for r to get the simple interest rate
2-1=20r
20r=1
R=1÷20
R=0.05

Now find how long will get triple at the same rate
3p=p (1+rt)
3=1+rt. R=0.05
3=1+0.05t
Solve for t
3-1=0.05t
0.05t=2
T=2÷0.05
T=40 years. .....answer

3x+2y+4z=12 X+y+2z=6 (X=0,y=4,z=1) Determine if the given 2 lines intersect at the given point. Explain your reasoning. -2x-4y+z=8 4x+2y=-5 (x=-2,y=0,z=3) same as up above

Answers

Equation 1: 3x + 2y + 4z = 12
Equation 2: x + y + 2z = 6

Substituting x = 0, y = 4 and z = 1 into equation 1 and equation 2 and if the answer equals to 12 and 6 then the two lines intersect at the given point

Equation 1 ⇒ 3(0) + 2(4) + 4(1) = 0 + 8 + 4 =12
Equation 2 ⇒ 0 + 4 + 2(1) = 4 + 2 = 6

We have the answer of 12 and 6, hence the two lines intersect at the given point
-------------------------------------------------------------------------------------------------------------

Equation 1: -2x - 4y + z = 8
Equation 2: 4x + 2y = -5

Given point: x = -2, y = 0, and z = 3

Equation 1 ⇒ -2(-2) - 4(0) + 3 = 4 - 0 +3 = 7
Equation 2 ⇒ 4(-2) + 2(0) = -8 + 0 = -8

The answers are not 8 and -5 hence the lines don't intersect at given point

What is the sum of 5.300 and 3.250

Answers

sum means to add

5.300 + 3.250 = 8.550

The sum of 5.300 and 3.250 is 8.550

need help asap!!!plz help

Answers

Mean = sum of values/ number of values
11+13+14+14+15(4)=112
112/8=14
Final answer: 14

x + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is _____.
is the answer 3x=3????

Answers

x + y = 4....multiplied by 2 = 2x + 2y = 8

x - 2y = -5
2x + 2y = 8
---------------add
3x = 3......u r correct <==

Yes you are correct

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answers

Interest = principle * rate * time...
I = PRT...we are going to rearrange this because we are looking for the principle...

I / (RT) = P
I = 22.40
R = 2.8%...turn to a decimal = 0.028
T = 1

sub and solve
22.40 / (0.028(1) = P
22.40 / 0.028 = P
800 = P....amount of original deposit is $ 800 <==

The formula is
I=prt
I interest earned 22.4
P original deposit ?
R interest rate 0.028
T time 1 year
Solve the formula for p to get
P=I÷rt
P=22.4÷(0.028×1)
P=800

Line graphs are useful for seeing trends. How do you explain a line graph that goes up and down?

Answers

Line graphs are useful in that way they show data variables and trends very clear

Subtract (3 + 2i) from (–9 – 8i).

Answers

[tex]-9-8i-(3+2i)=-9-8i-3-2i=-12-10i[/tex]

[tex](-9-8i)-(3+2i)=-9-8i-3-2i=-9-3-8i-2i=-12-10i[/tex]. Hope it help!

Find the first six terms of the sequence.
a1 = -8, an = 5 • an-1

8, -40, -200, -1000, -5000, -25,000

-8, -40, -35, -30, -25, -20

0, 5, -40, -35, -30, -25

-40, -200, -1000, -5000, -25,000, -125,000
Plz help me

Answers

a(n) = a1 * r^(n-1)
a1 = first term = -8
r = common ratio = 5

a(2) = -8 * 5^(2-1)
a(2) = -8 * 5^1
a(2) = -40

a(3) = -8 * 5^(3 - 1)
a(3) = -8 * 5^2
a(3) = -8 * 25
a(3) = -200

a(4) = -8 * 5^(4 - 1)
a(4) = -8 * 5^3
a(4) = -8 * 125
a(4) = -1000

a(5) = -8 * 5^(5 - 1)
a(5) = -8 * 5^4
a(5) = -8 * 625
a(5) = -5000

a(6) = -8 * 5^(6-1)
a(6) = -8 * 5^5
a(6) = -8 * 3125
a(6) = -25,000

the first 6 terms are : -8, -40, -200, -1000, -5000, -25,000

Answer:

the answer is B

Step-by-step explanation:

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

1 dozen cost 5.98

so 1.5 dozen cost : 5.98 x 1.5 = 8.97

a coupon takes $1 off the price so

8.97-1.00 = 7.97

they cost a total of $7.97

Answer:

$7.97

Step-by-step explanation:

multiply to find the total cost and then subtracting the coupon amount.

The record for the boston marathon's weelchair division is 1 hour, 18 minutes, and 27 seconds.The boston Marathon is 26.2 miles long.What's the average speed of the record winner of the weelchair division? At this rate about how long would it take this competitor to complete a 30-mile race?

Answers

10.4 because if it's 1 hour 18 minutes and 27 seconds then it's 10.4 because it's miles are 26.2miles

Hi, Lesliamine! :)

1 hour= 60 minutes

60+18
=78 mins and 27 secs.
or 78.45 minutes.

To find the average speed per mile, divide the time by distance.
78.45/26.2
=2.99427481
or 2 minutes and 59.6564886 secs.

It takes 2.99427481 minutes to complete a mile.

To find how long it would take to finish 30 miles, multiply the time per mile by 30 miles.

2.99427481*30
=89.8282443 minutes
or 89 minutes and 49.694658 secs
or an hour and 29 minutes and 49.694658 secs.

Hope this helps.
-Benjamin

Can someone help me with these two questions about Logarithms? If you can, please don't just tell me the answer. I really want to understand how to do these so please add an explanation. Please and thank you. ^^

My phone wouldn't let me send the photos so here are the questions:

1. The loudness, L, of a sound in decibels is given by L=10logR, where R is the sound's relative intensity. if the intensity of a certain sound is tripled, by how many decibels does the sound increase?

2. An earthquake rated at 3.5 on the Richter scale is felt by many people and an earthquake rated at 4.5 may cause local damage. The Richter scale magnitude reading, m, is given by m=logx, where x represents the amplitude of the seismic wave causing ground motion. How many times greater is the amplitude of an earthquake that measures 4.5 than one that measures 3.5?

Answers

1.
plug in numbers so use R=1500 and 3R=1500(3)
so you get 36.53-31.76=about 4.77
2.
so put put 4.5 in the formula and 3.5 in the formula and divide them
4.5=logx
10^4.5=x
then 3.5=logx
10^3.5=x
(10^4.5)/(10^3.5)
= 10

how do we calculate QS? given that SQT and RPT are similar. thank you

Answers

since they are similar RT is similar to ST and PR is similar to QS

find the ratios

7/6 = x/9 cross multiply 7*9 =63

63/6 = 10.5

so QS = 10.5

In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.
a.always
b.sometime
c.never

Answers

The correct answer is C "never."

The hypotenuse in a 30-60-90 triangle is the shorter leg doubled. So, it's 2x where x is the shorter leg.

In fact, the square root of two is not used to calculate any other sides in a 30-60-90 triangle. The shorter leg is x, the medium leg is x√3, and the hypotenuse is 2x.

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