sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the same job in 12 days ?​

Answers

Answer 1

Answer:

8 more men are needed to complete the job

Step-by-step explanation:

Proportions

This problem can be solved by step-by-step reasoning applying proportions:

16 men working 9 hrs a day complete the job in 14 days16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

[tex]\displaystyle 12=\frac{14*9*16}{7*x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24[/tex]

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job


Related Questions

What’s 2/3x1 1/7x3/8 thank you

Answers

Answer:

2/7

Step-by-step explanation:

1. 2x8/7x1/8

2. 2x1/7

3. 2/7

What is a summary on number properties

Answers

Answer:

There are four basic properties of numbers: commutative, associative, distributive, and identity.

Step-by-step explanation:

You should be familiar with each of these. It is especially important to understand these properties once you reach advanced math such as algebra and calculus. Distributive Property.

The manager of a grocery store determined that the number of bananas remaining on the shelves at her store can be determined by the function b(n) = 150 − 6 n, where n is the number of hours since the store opened. According to this function, how many bananas are left on the shelves after the store has been open for 6 hours?

Answers

114 bananas

b(6)= 150-6(6)
—->150-36
= 114

Find the value of x​

Answers

Answer:

D is the answer

Step-by-step explanation:

Geometry hw! Pls help! If g || h and m<2=88, what is m<3?

Answers

C. Because 88+92=180 I believe

If m = 3 and b = 6, what is the correct equation for Line of Best Fit?

A. y = 3 – 6
B. y = 3x +6
C. y = 3x -6
D. y = 6x + 3

Answers

Answer:

B

Step-by-step explanation:

The equation is Y = mx + b so just plug in the m and the b

Answer:

the answer is b.......

Find the Value
A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

Using the trig. identity

sin²x + cos²x = 1 ⇒ cosx = ± [tex]\sqrt{1-sin^2x}[/tex]

Here sinθ = [tex]\frac{1}{2}[/tex] , thus

cosθ = ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex] = ± [tex]\sqrt{1-\frac{1}{4} }[/tex] = ± [tex]\sqrt{\frac{3}{4} }[/tex] = ± [tex]\frac{\sqrt{3} }{2}[/tex]

Since 0 ≤ θ > 90 then cosθ > 0 , thus

cosθ = [tex]\frac{\sqrt{3} }{2}[/tex] → C

Which is the solution to the following system x+2y+z=9
X-y+3z=13
2z=10

Answers

Step-by-step explanation:

I'm not sure but,here you go

2z = 10

z = 10 ÷ 2 = 5

x + 2y + z = 9

x + y + 3z = 13

____________

x + 2y + 5 = 9

x + y + 3(5) = 13

_____________

x + 2y = 9 - 5

x + y = 13 - 15

___________

x + 2y = 4

x + y = -2 (×-1)

___________

x + 2y = 4

-x - y = 2

___________

y = 6

x = -2y - z + 9 = -2(6) - 5 + 9 = -12 - 5 + 9 = -8

If you wanna check,

x + y +3z = 13

(-8) + 6 + 3(5) = 13

x = -8 , y = 6 , z = 5

I'm not very sure but here you go,I might be wrong^^

2z = 10
/2 on both sides
z = 5
———————
x + 2y + z = 9
x + 2y + 5 = 9
-5 on both sides
x + 2y = 4
———————
x - y + 3z = 13
x - y + 3(5) = 13
x - y + 15 = 13
-15 on both sides
x - y = -2
———————
x + 2y = 4
x - y = -2

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

x + 2y = 4
-x + y = 2
Add the equation together
3y = 6
/3 on both sides
y = 3
———————
Substitute z = 5 and y = 3 in one of the equations that includes all of the variables
x + 2y + z = 9
x + 2(3) + 5 = 9
x + 6 + 5 = 9
x + 11 = 9
-11 on both sides
x = -2
———————

Answers:
x = -2
y = 3
z = 5

1 .50+35=5(_____+7). 2._______+39=3(3+13) choices for number 2 16,1,5,9 . choices for number 1. 5,10,2,4

Answers

Answer:

1) 10

2) 9

Step-by-step explanation:

50+35=5(10+7) because 5*10=50 and 5*7= 35

9+39=3(3+13) because 3*3=9 and 3*13=39

The graph that is made up of two straight lines, which has an absolute maximum or absolute minimum, and is symmetric belongs to the
function family.

Answers

Answer:

This may be a function of the absolte value family.

f(x) = IxI.

f(x) = x if x ≥ 0

f(x) = -x  if x ≤ 0

Where this is the parent function, and the graph is shown below in green.

If the coefficient is positive, then the lines open upwards, and we will have a minimum (in this case, when x = 0).

And also in this case, we have symmetry around the value x = 0.

Now, the vertex can also be an absolute maximum if the coefficient is negative, like in the example shown below in color blue (the equation for the blue graph is f(x) = -3*IxI )

Jordan has 3 toy cars. Jake has 10 times as many cars as Jordan does. How many cars does Jake have?

Answers

Answer:

Jake has 30 cars

Step-by-step explanation:

3 times 10 equals 30

Benjamin rents a storage unit that is shaped like a cube. There are 12 identical storage units in each row of the facility. If each storage unit has a volume of 125 cubic​ feet, what is the length of each row in the​ facility?

Answers

Answer:

60 Ft.

Step-by-step explanation:

125 Cubic Ft divided by 25 gets the length of a unit and that is 5. 5 times 12 is 60.

Inez and Joel work at a store that sells
cell phones. Inez worked for 7 hours
and 23 minutes. Joel worked for
4 hours and 51 minutes. How much
longer did Inez work than Joel?

2 hours 32 minutes

12 hours 14 minutes

3 hours 28 minutes

3 hours 32 minutes

Answers

Answer:

2 hours 32 minutes

Step-by-step explanation:

Subtract.

If you could subscribe to my friend penny_pg3d on YT, that would be great! :)

2 hours 32 minutes
This is the answer I got so the first guy got it right

-Simplify the expression. 2(-y + 9) + 8y

Answers

Answer:

first we open the brackets using two so our new expression will be -2y+ 18 + 8y collect the like terms -2 y + 8 y + 18 so your final answer will be 6 y + 18 if you have any questions regarding this just ask

8.91201 rounded to the nearest tenth

Need fast answers !

Answers

Answer:8 9

Step-by-step explanation:

1 is less that 5 therefore the 9 does not change its value

Answer:

8.9

Step-by-step explanation:1 is less then 5 so you round down

PLEASE TRY TO ANSWER THIS FAST

Answers

Answer:

it would be 4.5b - 9 = 1.5(3b-6)

Step-by-step explanation:

just divide 4.5 by 1.5 9 then do the same thing to

(don't forget to thank the skeleton in your closet

Lmn is a right angle?

Answers

Answer:

no

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Sam has a paper clip. It has a mass of 12g and a volume of 3cm .What is its density?

Answers

Answer:

4g/cm^3

Step-by-step explanation:

Solution,

Given:

Mass=12g

Volume=3cm^3

Density=?

we know that,

I) Density=Mass/volume

=12g/3cm^3

=4g/cm^3

Therefore, required answer of above question is 4g/cm^3.

Shifting into first gear generally increases the engine speed (rpm) while decreasing the
tractor speed (mph). What would be the effect of this change?
A. Both area rate and flow rate would increase.
B. Area rate would increase, and flow rate would decrease.
C. Area rate would decrease, and flow rate would increase.
D. Both area rate and flow rate would decrease.

Answers

The effect of this change should be option D. Both area rate and flow rate would decrease.

Information regarding speed:In the case when the first gear is shifted so it increased the engine speed. While on the other hand, it reduced the tractor speed. Due to this, the area rate and the flow rate should be decreased.

Learn more about the speed here: https://brainly.com/question/24772838

Can anybody help me on number 4? Find the measure of each interior angle of the regular polygon.

Answers

Answer:

22.5 degrees

Step-by-step explanation:

there are 8 corners in that polygon and there are 180 degrees inside every polygon

so divide 180 by 8

you should get 22.5 degrees

What is the quotient of -3/7and -1/3? -1 1/8 -1/8 1/8 1 1/8​

Answers

Answer:

1 2/7

Step-by-step explanation:

Quotient means division

-3/7 ÷-1/3

Copy dot flip

-3/7 * -3/1

9/7

7/7 + 2/7

1 2/7

List the coefficients from the following expression
3x + 6 - 8x + 1

Answers

Answer:

3 and 8

Step-by-step explanation:

Coefficients are just the numbers that accompany the variables. So if you have any number, let's take 4, and put it next to an x: 4x, 4 will be your coefficient.

3 and 8 a coefficient is a number INFRONT of a variable

HELPPP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!
The units of the subway map below are in miles. Suppose the routes between stations are straight. Station​ F, not shown on the​ map, is 12 miles west and 3 miles north of Station A. What is the approximate distance between Station E and Station​ F?


The distance from Station E to Station F is approximately ___ miles. ​(Round to the nearest tenth as​ needed.)

Answers

Answer:

8.2 miles

Step-by-step explanation:

too much to type out again lol

Distance between EF is 20.09 units.

What is Distance Formula?

The Distance between two points (a, b) and (c, d) is

D= √(c- a)² + (d- b)²

Given:

E=  (-4,2)

F= (16,4)

Distance between EF

= √(16+ 4)² + (4- 2)²

= √400 + 4

= 20.09

learn more about Distance Formula here:

https://brainly.com/question/28618222

#SPJ2

Can someone help me with this?

Answers

Answer:

(X+4,y-2)

Step-by-step explanation:

Help!?! Please 3 3/4 - 7/8= what!!

Answers

Answer:

2 7/8

Step-by-step explanation:

Answer:

2 7/8

Step-by-step explanation:

The equation of the graph line is 2X-3Y=12

What is the x-intercept of the graph?
A. -4
B. -3/2
C.2/3
D.6

Answers

Answer:

A. -4

Step-by-step explanation:

For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.

You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.

The answer is A.-4 that’s the answer for this question

The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.

Answers

Answer:

             [tex]\bold {a_n=-3n+8}[/tex]

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_3=5+d(3-1)\\\\-1=5+2d\\\\-6=2d\\\\d=-\frac62=-3\\\\\\a_n=5+(-3)(n-1)\\\\a_n=5-3n+3\\\\a_n=-3n+8[/tex]

Check:    [tex]a_{10}=-3(10)+8=-30+8=-22[/tex]

PLEASE ANSWER!!!!!!!!! ❤️❤️
if sandra walked at a rate of 1/3 mile every 30 minutes. Part A. What is her rate in miles per hour? Part B. How far would she walk in 2 hours?

Answers

Answer:

these are the answers

part a. ⅔

part b. 1 ⅓

Solve the two steps equations below and check your solution R/2-8=16

Answers

Answer:

r= 48

Step-by-step explanation

r/2 - 8 = 16

     +8     +8

r/2 = 24

multiply both sides by two so it cancels out and you get r by itself.

the 2 cancels out and 24 times 2 = 48

r= 48

4. Describe the following graph completely
a. Where is the vertex of the parabola?
b. Is there a line of symmetry? If so, draw it in.
c. Are there any x-intercepts? If so, name them. d. Are there any y-intercepts? If so, name them. ​

Answers

a. The vertex is at (2,1) which is the highest point of the parabola. This applies to any parabola where it forms a hill like this. b. The line of symmetry is x = 2. It is the vertical line through the vertex. The line of symmetry cuts the parabola into two equal halves (one half mirrors over the line to get the other half).c. The x intercepts are x = 1 and x = 3, which is where the parabola crosses the x axis. More specifically the locations are (1,0) and (3,0).d. The y intercept is where the graph crosses the vertical y axis. The y intercept is -3, so its location is (0,-3). A function can only have one y intercept.
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