It takes four workers six hours and 45 minutes to plant 24 trees. If the time it takes to plant trees varies directly with the number of trees and inversely with the number of workers, how many trees could 9 workers plant in four and a half hours?​

Answers

Answer 1

Answer:

36 trees

Step-by-step explanation:

We are told that It takes four workers six hours and 45 minutes to plant 24 trees. Also that the time it takes to plant trees varies directly with the number of trees and inversely with the number of workers.

Thus,

t ∝ x/n

Where;

x is number of trees

n is number of workers

Now, opening the proportion symbol, we have;

t = kx/n

Where k is the constant of proportionality.

t = 6 hours 45 minutes = 6¾ hours = 6.75 hours

Plugging in the relevant values, we have;

6.75 = 24k/4

k = 4 × 6.75/24

k = 1.125

Now, we want to know how many trees could 9 workers plant in four and a half hours (4.5 hours)

Applying the same as above and Plugging in k = 1.125, we have;

4.5 = 1.125x/9

x = 9 × 4.5/1.125

x = 36 trees


Related Questions

NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!

Anh randomly surveyed 36 students to see if there was interest in starting a seventh-grade science club.

**and please only answer the answer choices not just random numbers and if you don't know then don't answer**​

Answers

Answer:

20

Step-by-step explanation:

Please help ASAP! The best answer get brainliest!!

Answers

Answer:

1. A

2. B

Hopefully this is right.

Can i have brainliest?

Is this table proportional?

Answers

Answer:

yes it is

Step-by-step explanation:

pls give brainlest almost lvled up

Answer:

I believe that this is not.

It is not proportional.

if a single card is drawn from a standard 52- card deck in how many ways can a card other than a heart be obtained ​

Answers

Answer:

there would be a 1-51 chance most likely

Step-by-step explanation:

Answer:

50 more days

Step-by-step explanation:

Use the information to answer the following questions. The angle measures of a triangle are shown. Angle A: (5x – 5) degrees Angle B: (3x + 3) degrees Angle C: (5x) degrees What expression can be written to represent the sum of the angle measures?

Answers

Answer:

5x-5+3x+3+5x=180

Step-by-step explanation:

As it is a triangle, sum of all angles is 180.

5x-5+3x+3+5x=180

13x=182, x=14

The expression that represents the measure sum of the angle is

(5x – 5)° + (3x + 3)° +  (5x)° = 180°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know that sum of all the interior angles of a triangle is 180°.

The given statement can be written as,

∠A + ∠B + ∠C  = 180°.

(5x – 5)° + (3x + 3)° +  (5x)° = 180°.

13x - 2° = 180°.

13x = 180° + 2°.

13x = 182°.

x = 14°.

We can also find the measure of each angle now by substituting the value of x in ∠A, ∠B, and ∠C.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Simplify the expression.
(5)10 - (5)13
O-15
O-3
O 115
O2

Answers

Answer:

-15 is a answere

Step-by-step explanation:

According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule

5*10-5*13

50-65

-15

paul is adding mulch along the edge of
his driveway

Answers

What’s the full question?

What is 90% of 250
What is 85% of 2,500,000?

Answers

Answer:

2125000

Step-by-step explanation:

Answer:

90 % of 250 = 225

85% of 2,500,000 = 2125000

Step-by-step explanation:

FREE TAKE ONLY TAKE ENJOY

Answers

Answer:

Um okay? I'm confused...

f (x) = 2x^2 - 4x + 1​

Answers

i don't know specifically what you are looking for but:

Direction: Opens Up

Vertex: (1, -1)

Axis of Symmetry: x = 1

and i attached the graph

Answer:  x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Step-by-step explanation:

Solve for x:

F x = 2 x^2 - 4 x + 1

Subtract 2 x^2 - 4 x + 1 from both sides:

-2 x^2 + F x + 4 x - 1 = 0

Collect in terms of x:

-1 + x (F + 4) - 2 x^2 = 0

Divide both sides by -2:

1/2 + 1/2 x (-F - 4) + x^2 = 0

Subtract 1/2 from both sides:

1/2 x (-F - 4) + x^2 = -1/2

Add 1/16 (-F - 4)^2 to both sides:

1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2

Write the left hand side as a square:

(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2

Take the square root of both sides:

1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Someone help me please :D

Answers

Answer:

8 x 0.09 =0.72

0.8 x 0.09 = 0.072

80 x 0.9 = 72

8 x 0.9 = 7.2

Step-by-step explanation:

Each letter of the word BANANA is written on a card. Find each probability if you pick two cards without replacing the first. Assume that you get the letter you want when you draw.



4. P (B and then A)





5. P (N and then N)





6. P (B and then a B

Answers

Answer:

5

Step-by-step explanation:

There answer would be 5

jshsmsnsksskjs landmarks sksnsn

Answers

Answer:

sknsonsknsknsknskdnksndksn?

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $600. One
month later, you get the guitar back by paying the pawnbroker $1170. What annual interest rate did you pay?
You will pay a simple interest rate of %
(Round to the nearest whole number as needed.)

Answers

Answer:

51% (596.7) or 52% (608.4)

Step-by-step explanation:

1170 multiply by 51% or 52% and you will get as close as you can to 600. I hope this can help. I am sorry If I got it wrong or misunderstood. :) Have a nice day!

Graphically, a point is a solution to a system of two inequalities if and only if the point
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.

Answers

Answer:

it is c

Step-by-step explanation:

top is correct

We want to know when a point is a solution to a system of inequalities. We will see that the correct option is "lies in the shaded regions of both the top and bottom inequalities."

Solution of an inequality:

A point is a solution to a inequality if and only if it belongs to the shaded region of the graph.

Solution of a system of inequalities:

A point is a solution to a system of inequalities if and only if it is a solution of each independent inequality that conforms the system.

Then, it must belong to all the shaded regions that represent the solution set of the inequalities at the same time, this means that it must belong to the intersection of the shaded regions.

From this, the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Geometry
> B.9 Midpoint formula: find the midpoint 2YG
S(8, 8) and T(4, 10) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M =

Answers

Answer:

The midpoint (x,y)=(6,9)

Step-by-step explanation:

We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)

The formula to find midpoint is:

[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\[/tex]

We are given: [tex]x_1=8, y_1=8, x_2=4 , y_2=10[/tex]

Putting values and finding midpoint

[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)[/tex]

So, the midpoint (x,y)=(6,9)

Read the excerpt from The Call of the Wild.

Then an old wolf, gaunt and battle-scarred, came forward. Buck writhed his lips into the preliminary of a snarl, but sniffed noses with him, Whereupon the old wolf sat down, pointed nose at the moon, and broke out the long wolf howl. The others sat down and howled. And now the call came to Buck in unmistakable accents. He, too, sat down and howled. This over, he came out of his angle and the pack crowded around him, sniffing in half-friendly, half-savage manner. The leaders lifted the yelp of the pack and sprang away into the woods. The wolves swung in behind, yelping in chorus. And Buck ran with them, side by side with the wild brother, yelping as he ran.

Which theme does this passage illustrate?

A good leader is strong and intelligent and treats his followers well.
Only the strong survive in the wilderness.
The only way to learn something is to try it.
The desire to fight for power is an instinct.

Answers

Answer:

The passage is centered on the theme of belonging in a certain pack or group. Buck may be a bit different from the others but as Buck tried to be like them and did what they usually do, it gathered the trust of the pack especially the leaders. To belong in a group, one should gain their trust.

Step-by-step explanation:

Answer

A

Step-by-step explanation:

What is the probability that the winner of the race (the fastest one of the four runners) will come from Team 2?

Answers

Answer:

B what is the probability that the winner of the race ... that the winner of the race (the fastest one of the four runners) will come from Team 1? ... Setting λ 1 = 19 / 90 and λ 2 = 5 / 24 we have, P ( X 1 < X 2 ) = Z ∞ 0 Z ∞ x 1 f X 1 ( x 1 ) f X 2 ( x 2 ) ...

Step-by-step explanation:

hope this helps

Meg constructed triangle POQ and then used a compass and straightedge to accurately construct line segment OS as shown in the figure.

Answers

Answer:

key

Step-by-step explanation:

HELPPPPPP ILL GIVE BRAINLIEST!!!!

Answers

Answer: a

Step-by-step explanation:

a temperature of 0 degrees Celsius:

a temperature of 8.5 degrees Celsius above zero:

a temperature of 7 degrees Celsius below zero:

100 points

Answers

Answer:

mark on the 0, on the 7, and half way past 8

hope this helps, pls give brainliest

Step-by-step explanation:

Susan received a gift of $1,000 today and decided to invest it in an account that earns 89 with quarterly compoundry About
how long would it take for the account balance of her investment to reach 510,000?
Type the correct answer in the box. Round your answer to the nearest year
It would take about
years for the account balance to reach $10,000.

Answers

Answer:

It would take about  29 years for the account balance to reach $10,000.

Step-by-step explanation:

please leave a like :)

Which of the relations given by the following sets of ordered pairs is a function?
O {(1,2), (2, 3), (3, 4), (3, 3), (2, 2), (1, 1)}
O {(1, 1), (1,3), (1,5),(1,7), (1,9)}
O {(-2, 1), (7,5), (- 4,0), (3, 1), (0, -6)}
O {(2, - 7), (6,5), (- 3,9), (2,0), ( – 5,3)}

Answers

The third one (-2,1) (7,5) (-4,0) (3,1) (0,-6) every x only has 1 y

3-6(1 +n)
I don’t need the variable solve

Answers

Answer:

-6n -3

Step-by-step explanation:

I'm assuming that if you don't need the variable solved, then you need it converted? here's another form.

Match the vocabulary to the proper definition.
1. a number that divides evenly into a given number

2. expressions, equations, and operations involving variables

3. the bottom part of a fraction, represents the whole

4.
a fraction with a numerator that is larger than or equal to the denominator

5. the number in an algebraic term improper fraction

ANSWERS:
1. Factor
2. Algebraic
3. Denominator
4. Improper Fraction
5. Coefficient

Answers

Answer:

Step-by-step explanation:

1). A number that divides evenly into a given number  - Factor

2. Expressions, equations, and operations involving variables  -Algebraic

3. The bottom part of a fraction - Denominator

4. A fraction with a numerator that is larger than or equal to the denominator - Improper fraction

5. The number in an algebraic term  - Coefficient

Answer:

1. Factor

2.Algebraic

3. Denominator

4. Improper fraction

5. Coefficient

I need help with this ASAP!!

Answers

Answer:

the answer of the question are

ans- y= 0,-2

Given :- value of y = 3

To find :- y²-2y..................(I)

solution :- put value of y in eq 1

Y² - 2y

3²- 2(3)

9 - 6

= 3..!!!

answer is 3..

Explain why sine of an angle greater than 180° and less than 360° is negative.

Answers

9514 1404 393

Explanation:

The sine of an angle in standard position is the y-coordinate of the intersection of its terminal ray with the unit circle. When the angle is in the range 180° < θ < 360°, that point of intersection is in quadrant III or IV, where y-coordinates are negative.

__

Alternative explanation:

That is where the sine curve is below the x-axis.

Yesterday you walked 2 7/10 miles on your treadmill. Today you walked 1 6/10 miles. How far did you walk in these two days? Also I need an answer that looks like this 3 4/5

Answers

Answer:

The answer is 4 3/10

Step-by-step explanation:

If you first break this question up into two steps, you first must add the whole numbers and then the fractions, like this:

2 7/10   1 6/10

First, add the whole numbers [Bold]

2 + 1

That equals the whole number 3

2 7/10    1 6/10

Next you add the fractions [Underlined]

7/10 + 6/10

this equals 13/10

Since this fraction is higher than 10/10, it equals a whole number too. This fraction, 13/10, will be simplified to 1 whole and 3/10. After simplifying this number you add the whole numbers once again resulting in 3 + 1, giving you 4. after finding this out you add your fractions back in, creating the answer of 4 3/10.

Hope this helps you out!

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown
below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below.
He also knows that E is 50 m from the side AB and 30 m from the side BC.
Determine the length of AE, the length of DE, and the perimeter of pentagon
ABCDE.
**Please answer ASAP**
***I'm new so I don't have a lot of points. Still please answer the question.***

Answers

Answer:

560

Step-by-step explanation:

thatis the right answer

16/30=20/x what is x?

Answers

Answer: 75/2

Step-by-step explanation: Math

Answer:

75/2

Step-by-step explanation:

16/30=20/x

Cross multiply

16*x=(20)*(30)

16x=600

Divide both sides by 16.

16x /16  = 600 /16

x=75/2

I hope it's right

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