If it takes four men three hours to dig two holes, how long does it take one man to dig three holes?

Answers

Answer 1

Answer:

it will take one man 18 hours to dig the three holes

Step-by-step explanation:

To solve this problem, we can set up a simple relation as follows:

4 men dig two holes in 3hours

4 men will dig 1 hole in x hours.

2 holes => 3 hours

1 hole => x hours

x = (1 X 3)/2 = 1.5 hours

Therefore, 4 men will dig 1 hole in 1.5 hours.

From this, we can find how long it will take 1 man to dig 1 hole

if 4men dig a hole in 1.5 hours

1 man will dig 1 hole in x hours

4 X 1.5 = 6 hours

1 man will dig 1 hole in 6 hours

finally, if 1 man digs a hole in 6 hours, it will take the man 6 hours X 3 to dig 3 holes = 18hours

it will take one man 18 hours to dig the three holes


Related Questions

Please help if you know the answer please

Answers

Wouldn’t it be Pan A , Pan B and Pan D

what is the formula for finding area in a triangle​

Answers

Answer:

Base times Height divided by 2 or 1/2b*h

Step-by-step explanation:

Answer:

multiply the base times the height and then divide your answer by two or A=1/2bh  were b=base and h=height

Step-by-step explanation:

during a debate Bonnie used 9 minutes to present her opinion 6 minutes to rebut the opposing opinion and 5 minutes to summarize what percent of the time did she spend summarizing

Answers

Answer:

she spent like 40% of her time easy

Step-by-step explanation:

that was like 3rd grade

I need help please!!!

Answers

Answer:

D

Step-by-step explanation:

A translation 4 units to the right and 6 units down means that all of the x values increase by 4 and all of the y values decrease by 6.

Adding 4 to all of the x values and subtracting 6 from all of the y values gives us the coordinates:

A' (-3, 0), B' (8, 3), C' (2, -9)

Please answer I will mark you Brainliest

Answers

Answer:

The third one

Step-by-step explanation:

if its not that one then its the first one

Answer:

D

Step-by-step explanation:

8 * 5 * 11 = 440

Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.

Natalie is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client,
charging a total of $239. Today, she did 2 haircuts and colored the hair of 1 client, charging a
total of $192. How much does Natalie charge for her services?


Natalie charges $___
for a haircut and $__
for a coloring

Answers

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Find the length of the third side. If necessary, write in simplest radical form.
(screenshot provided)
no links please ;')

Answers

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

draw a line representing the "rise" and a line representing the "run" of the line. state the slope of the line in the simplest form.

Answers

Answer:

-2x

Step-by-step explanation:

Rise over run,

This line goes up 4 (It goes up so it's positive).

and it goes to the left -2 times (Since it's left it's negative).

Slope: 4/-2 or -2/1 which is -2x

Solve this quadratic equation

Answers

Answer:

https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0

Step-by-step explanation:

Answer:

[tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c= 0[/tex]

Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]x^2+5x+3 = 0[/tex]

a = 1b = 5c = 3

Plug it into the formula and solve:

[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-5\pm\sqrt{5^2 - 4(1)(3)}}{2(1)}[/tex][tex]x = \frac{-5\pm\sqrt{25-12}}{2}[/tex][tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]

This cannot be simplified further. The answer is [tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex].

Justin has scored 27, 20, and 26 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? points​

Answers

Answer:

27

Step-by-step explanation:

The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care

Select the correct answer.
Which equation correctly solves the Pythagorean theorem, a2 + b2 = , fc
O A. b = c -a
B. b = VC2 - 22
Ocb = V2 + a2
D.
b = c + a

Answers

Answer:

a² + b² = c²

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.

Answers



Answer: Ayesha = 9. Bennie = 16. Chloe = 32
Explanation: (A stands for Ayesha, B stands for Bennie and C stands for Chloe) B = A + 7
C = 2(A + 7)
A + A + 7 + 2(A+7) = 57
A + A + 7 + 2A + 14 = 57
4A + 21 = 57
4A = 36
A= 9
hope that helps if you have any questions let me know!!

If a tennis ball has a diameter of 14.6, and is cut in half. What is the volume of the half of the tennis ball? Use 3.14 for pi.

Answers

the half of 14.6 is 7.3 and you times it by 3.14 and its 22.922 i think

​The length of the hypotenuse of a right triangle is 10m and the length of one of the legs is 8m .

​Find the length of the other leg of the triangle

Answers

Hello!
I will be helping u find the length
It’s 80
Hope this help sm

Solve the system of equations.
x+2y=0
6y= - 3x

Answers

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

PLEASE HELP I WILL GIVE BRAINIEST. What is the Median?

Answers

Answer:

DA MIDDLE LINE. 6

The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.

Answers

Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

Step-by-step explanation:

Given: The Vatican has to be guarded 24 hours a day.

Total Swiss Guards  = 15

If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15

= [tex]\dfrac{24}{15}[/tex] hours

[tex]=\dfrac85[/tex] hours

[tex]=1\dfrac35[/tex] hours

= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]

= [tex]\text{ 1 hour }36\text{ minutes}[/tex]

Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

PLEASE HELP ASAP
Find the surface area and the volume of the cone:

*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.

Answers

Answer:

surface area= 301.6

volume=301.6 again Imao I'm not sure how right that is

2[32-(4-1)³] answer.​

Answers

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

Help me with this easy math question, please. I don't understand it, but it's said to be simple. Please and thank you in advance.

Answers

Answer:

$850.50

Step-by-step explanation:

Once you find the square footage of the triangle, that being 486 sq ft, you multiply by 1.75, the cost of the deck per sq ft, you get $850.50

A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed for the recipe?

Answers

Answer: 2/3 cups

Step-by-step explanation:

Express 130 and 325 as the sum of two squares in two different ways.

Answers

Answer:

3^2 + 11^2 = 130

7^2 + 9^2 = 130

---

1^2 + 18^2 = 325

6^2 + 17^2 = 325

Step-by-step explanation:

We want to express 130 and 325 as the sum of two squares in two different ways.

Then, we want to find two integers a and b such that:

a^2 + b^2 = 130

There is not an analytical way to do this, we just need to try with different integers.

Let's start with 130.

So we start by defining a as a really small integer, for example 1, and try to find b.

1^2 + b^2 = 130

b^2 = 130 - 1

b^2 = √129 = 11.3

This is not an integer, so let's try with another value of a.

a = 2

2^2 + b^2 = 130

4 + b^2 = 130

b^2 = 130 - 4

b = √126 = 11.2

This can be discarded again.

Now let's try with a = 3

3^2 + b^2 = 130

9 + b^2 = 130

b^2 = 130 - 9

b = √121 = 11

Nice.

So we can express 130 as:

3^2 + 11^2 = 130

Now let's find another pair.

In the same way, we can see that for a = 7 we get:

7^2 + b^2 = 130

42 + b^2 = 130

b^2 = 130 - 49

b = √81 = 9

Then we can write:

7^2 + 9^2 = 130

Now for 325:

With the same reasoning than before, we want to find two integers such that:

a^2 + b^2 = 325

Then we start evaluating a by the smallest values:

a = 1

1^2 + b^2 = 325

b^2 = 325 - 1 = 324

b = √324 = 18

Then we can write 325 as:

1^2 + 18^2 = 325

Now to find the next pair we need to keep testing values for a, we will get for a = 6:

6^2 + b^2 = 325

36 + b^2 = 325

b^2 = 325 - 36 = 289

b = √289 = 17

Then we can write:

6^2 + 17^2 = 325.

Translate the expression
NO answering with links !!!

1) ten subtracted from the product of a number and -3 is 29

2) the difference between a number and nine , divided by 4 , is -7

Answers

Answer:

1) ten subtracted from the product of a number and -3 is 29

x*(-3) - 10 = 29-3x  = 39x = -13

2) the difference between a number and nine , divided by 4 , is -7

x - 9/4 = -7x = 9/4 - 7x = -19/4

(x+ 7)(x -8) = 0 then
___ OR ___
OR Solving: x = x =

NOT MULTIPLE CHOICE

Answers

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation:

. Complete each equation with a number so that the equation has the stated solution(s). a) x^2+7=x^2+_____; no solution

Answers

Answer: other than 7

Step-by-step explanation:

Given

Equation is [tex]x^2+7=x^2+?[/tex]

For an equation to have no solution, the missing number can be any number other than 7

because if we put 7 then it justifies the equation i.e. [tex]7=7[/tex] while on the other hand for a number other than 7, it does not justify the equation.

multiple choice! please help me

Answers

Answer:

they answer is A I think if I'm wrong sorry

Vince starts with 0 then adds the number 3 times..Jen starts with 1 then multiples the number 10 three time

Answers

Answer:

Where are the numbers?

Step-by-step explanation:

????????????????????????????

Answer:

there are no numbers

Step-by-step

!!!!!!!!!!!!!!!!!!!!!!!!!!

For cylinders with radius 4 units, the equation V = 50.24 h relates the height h of the cylinder, in units,
and the volume V of the cylinder, in cubic units when 3.14 is used as an approximation for 7. (4 pts)
a. Fill in the table with a minimum of 4 entries and sketch the graph of this equation on the axes.
Height Volume
500
400
Volume of Cylinder
300
200
100
10
Height of Cylinder

Answers

Answer:

H V

1 50.24

2 100.48

3 150.72

4 200.96

5 251.2

6 301.44

Plot that on the graph with H on the x axis of it created a straightish line its linear if not it’s non linear

Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?

Answers

Answer:

The percentage represented is 37.5%

what is the surface area?​

Answers

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

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