the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?​

Answers

Answer 1

Answer:

Minimum People required = 5

Step-by-step explanation:

Total hours required to complete the work every week = 150 hrs.

Number of hours worked per week by one person = 32 hr

∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person

∴ Number of people = 150 ÷ 32

∴ Number of people = 4.6875

This is the minimum number of people. But no of people cannot be a fraction.

Thus, rounding the number to next integer.

∴ Smallest number of people needed to complete the work = 5


Related Questions

what's 10*4/19+2=
use pemdas to get the answers .

Answers

Answer:

4.10526315789

Step-by-step explanation:

Answer: 4.10526315789

Step-by-step explanation:

help me Complete each sentence to describe the algebraic expression 9 + y. The variable in the expression is . The operation in the expression is . The constant in the expression is .

Answers

Answer:

'y', "addition", '9'.

Step-by-step explanation:

The variable is an unknown value in an algebraic equation or expression. It is represented by a letter.

'y' would be the variable in the given equation.

The operation in the expression is addition. The '+' sign represents addition, which means 9 and 'y' would be added together to get the sum.

Constants are terms in a expression or equation that contains no variables. This means that constants are only numbers.

'9' would be the given constant in the expression.

Hope this helps.

Answer:

y

+

9

Step-by-step explanation:

In which row and column will the number 83 appear?

Answers

Answer:

Row 10 and in column F

Step-by-step explanation:

rows 1 and 3 are decreasing and we are looking for an increase so we can cross those out immediately.

However we do see a pattern in rows 2 to 4 (add 8) so if we add 8 for 3 more rows than we get 37 but add 8 more and we get 45.

from 37 to 43 is 6 more than 37 so we have 4 columns but if we add 3 more we get the 6 columns also column f.

Hope this helps!

(-3)+(-5)

What are the signs and places

Answers

What do the places mean? I’d say the signs are negative since both values are (-3) and (-5), but i don’t know what you mean by placed - if they were placed in a number line, it would go 3 and 5 values left or down.

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

Answers

Answer:

Ok, our function is:

f(x) = 3*(x - 1)^2 + 2.

First, domain:

We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.

In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)

Then the domain is the set of all real numers.

Vertex:

Let's expand our function:

f(x) = 3*x^2 - 3*2*x + 1 + 2

f(x) = 3*x^2 -6*x + 2

The vertex of a quadratic function:

a*x^2 + b*x + c is at:

x = -b/2a

here we have:

a = 3 and b = -6

x = 6/2*3 = 6/6 = 1.

And the value of y at that point is:

f(1) = 3*(1 - 1)^2 + 2 = 2

Then the vertex is at: (1, 2)

Range:

The range is the set of all the possible values of y.

Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.

Then the minimal value of our quadratic function is the value at the vertex, y = 2.

This means that the range can be written as:

R = y ≥ 2

So the range is the set of all real numbers that are larger or equal than 2.

PLEASE HELP ME ASAP Find the total surface area.

Answers

Answer:

[tex]243.2cm^{2}[/tex]

Step-by-step explanation:

Step 1: Understand what this shape is constructed out of

2 Congruent Trapezoid

2 Congruent Rectangles

1 Small Rectangle

1 Large Rectangle

Step 2: Find the surface area of the shapes

Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]

Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]

Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]

Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]

Step 3: Add the surface areas up

[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]

Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]

Which is NOT a reasonable estimate?
A 683 + 431 = 1100
B 8236 X 387 = 3200
C 943 – 682 = 200
D 6247 + 312 = 20

Answers

D the answer to 6247 + 312 is not 20. The answer to that would be 6559 so I think D isn’t reasonable

If the ratio of two supplementary angles is 10 to 47, calculate the measure of the larger of the two angles.

Answers

Answer:

a) 148.52

Step-by-step explanation:

If sum of two angles is 180, then they are supplementary

Ratio = 10 : 47

Smaller angle = 10x

Larger angle = 47x

10x + 47x = 180

57x = 180

Divide  both sides by 57

x = 180/57

x = 3.16

Larger angle = 47x = 47 * 3.16 = 148.52

Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she pays a total of $ 62. what would be the combined cost of 1 yard of blue fabric and one yard of green fabric?

Answers

Answer: $10

Step-by-step explanation:

let x = the price of green fabric, then x+2 = blue fabric price

8x+5(x+2)=62

8x+5x+10=62

    13x+10=62

          13x=52

              x=4

price of green fabric=$4

price of blue fabric=$6

4+6=$10

Express 0.504 as a fraction in its lowest term​

Answers

Answer:

63/125

Step-by-step explanation:

Turn the decimal .504

=> 504/1000

=> 504/1000 = 252/500

=> 252/500 = 126/250

=> 126/250 = 63/125

=> 63/125 cannot be simplified anymore.

So, 63/125 is the simplified fraction of .504

max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s​

Answers

Answer:

x = 11.5 hours

Step-by-step explanation:

Set up a proportion:

[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]

661.25/460 = 1.4375

Multiply 8 by 1.4375 to find x:

8(1.4375) = 11.5

x = 11.5 hours

how many are 5 raised to 2 ???​

Answers

Answer:

25

Step-by-step explanation:

5^2

This is 5 multiplied by itself 2 times

5*5

25

Find the area of the shaded region​

Answers

Answer:

5x^2 +24x +1

Step-by-step explanation:

First you'll want to find the area of the larger rectangle, and then you'll subtract the area of the smaller rectangle (which is not shaded) to get your answer.

Larger Rectangle:

A = length * width

A = (2x + 3)(4x - 5) = (8x^2 - 10x + 12x - 15) = 8x^2 + 2x - 15

Smaller Rectangle:

A = length * width

A = (x - 8)(3x + 2) = (3x^2 + 2x - 24x - 16) = 3x^2 - 22x - 16

Larger Rectangle minus Smaller Rectangle:

(8x^2 + 2x - 15) - (3x^2 - 22x - 16)

5x^2 +24x +1

In the figure below, if x = 80° and z =
36°, find y.

Answers

Step-by-step explanation:

theanswer is 64 degrees

Complete the sequence
8,27,64,125,.........
Just next letter

Answers

Answer:

216.

Step-by-step explanation:

These numbers are perfect cubes starting with 2^3.

2^3, 3^3,  4^3,  5^3 so the next one is 6^3, which is 216.

Question 9(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.
una

Answers

Answer:

The graph will shift 9 units to the right

Sorry about my hand writing

Answer: It moves 9 units to the right

Step-by-step explanation:

It moves 9 units to the right is because if it's inside parentheses it moves right/left instead of up/down. I also talked to my Algebra Teacher about it and got it right in the final test.

Solve for b.

ab+c=d

b=a+c/d
b= a/(c-d)
b = (d - c)/a

Answers

Answer:

[tex]b = \frac{(d-c)}{a}[/tex]

Step-by-step explanation:

ab + c = d

Subtract c from both sides

ab + c - c = d -c

         ab = d - c

Divide both sides by 'a'

[tex]\frac{ab}{a}=\frac{d-c}{a}\\\\b = \frac{(d-c)}{a}[/tex]

Answer:

b = (d - c)/a

Step-by-step explanation:

just took this test

Find the value of each of the following: a. |15| b. |−15| c. −|15| d. −|−15| *Note: the numbers are inside the 2 parallel lines*

Answers

Answer:

a is 15, b is 15, c is -15, and d is -15 also

Step-by-step explanation:

The 2 parallel lines that surround the number are called "absolute value signs" everything inside them has an outcome of a positive number and in this case the number is 15. Like I said the number(s) inside the absolute value signs have to have a outcome of a positive number, notice in c and d there is a negative sign outside the absolute value signs. Therefore you multiply the negative seperately so, 15(-1) is -15.

I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

Answers

Answer:

Step-by-step explanation:

You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,

[tex]\lim_{x \to 2^-} f(x)=5[/tex]

Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,

[tex]\lim_{x \to 2^+} f(x)= -3[/tex]

The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.

The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 1, 2, 3, 4, 5. The second column is labeled distance (feet) with entries 530; 1,050; 1,600; 2,110; 2,650. Which type of model best describes the relationship?
linear, because the r value for the linear model is closest to 1
exponential, because the r value for the exponential model is closest to 0
linear, because the rate of change between each pair of points is exactly 520
exponential, because the rate of change between each pair of points is 1.98

Answers

Answer:

Step-by-step explanation:

It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".

In this question, we have two columns, you giving the time and the other the distance. We have to identify it the relationship is linear or exponential.

First, I am going to explain when we have a linear relation and when we have an exponential relation, then we observe the data and solve this question, getting the following correct answer:

linear, because the r value for the linear model is closest to 1

Linear and exponential data:

If the absolute value of the change assume close values, it is linear.

If the rates are, it is exponential.

Data:

t = 1 -> d = 530

t = 2 -> d = 1050

t = 3 -> d = 1600

t = 4 -> d = 2110

t = 5 -> d = 2650

Subtractions:

2650 - 2110 = 540

2110 - 1600 = 510

1600 - 1050 = 550

1050 - 530 = 520

Divisions(rates):

2650/2110 = 1.25

2110/1600 = 1.32

1600/1050 = 1.52

1050/530 = 1.98

The rates change considerably more than the subtractions, so it is linear relationship, and the correct option is:

linear, because the r value for the linear model is closest to 1.

For more on linear/exponential growths, you can check https://brainly.com/question/24282972

Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?

Answers

Answer:

9.1 hours

Step-by-step explanation:

Given

Sally

Speed = 66mph

Keith

Speed = 75mph

Time = 8 hours

Required

Determine how long Sally has traveled

To solve this, we make use of Speed formula.

Speed = Distance/Time

Make Distance the subject of formula

Distance = Speed * Time

For Sally:[Substitute 66mph for speed]

Distance = 66 * Time ------ Equation 1

For Keith [Substitute 75mph for speed and 8 hours for Time]

Distance = 75 * 8

Distance = 600m----- Equation 2

From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.

Hence;

Equation 1 = Equation 2

66 * Time = 600

Time = 600/66

Time = 9.1 hours

Hence, Sally has traveled 9.1 hours

last one hopefullly hahah

Answers

you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)

the triangles are not similar

Answer:

it's A

They don't give you enough information to determine if they are similar or not

a passenger train takes 2 hours less for a journey of 300 kilometre if its speed is increased by 5 kilometre per hour from its usual speed find its usual speed​

Answers

Answer:

Its usual speed is 25 kilometre/hour

Step-by-step explanation:

Let the usual  time duration for a journey of 300 km. = t

Let the usual speed = v

The parameters given are;

The time duration for the 300 km. journey at increased speed = t - 2

The increased speed of the passenger train = v + 5

Distance, d = Speed, v × Time, t

Therefore, we have;

v × t = 300

∴ t = 300/v

Also (v + 5)×(t - 2) = 300

Substituting the value of t = 300/v, we have;

(v + 5)×(300/v - 2) = 300

[tex]- \dfrac{2 \cdot v^2 - 290 \cdot v - 1500}{v} = 300[/tex]

Which gives;

2·v² + 10·v - 1500 = 0

Which is equivalent to v² + 5·v - 750 = 0

Therefore we have;

(v + 30)·(v - 25) = 0  whereby v = -35 or 25 km/h

v = Natural number = 25 km/hour

Therefore its usual speed is 25 kilometre/hour.

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A sign labeled 2x-1 on one side. A: 4x^2 - 1 B:4x^2 + 1 C: 4x^2 + 4x - 1 D: 4x^2 - 4x + 1

Answers

Answer:

D: 4x² - 4x + 1

Step-by-step explanation:

(2x - 1) ( 2x - 1)

4x² - 2x - 2x + 1

4x² - 4x + 1

The correct answer is d) 4x2 - 4x + 1.

The area of a square is found by squaring the side length:

(2x-1)? = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - = 1(-1) = 4 x 2 - 2x - 2x + 1 = 4x2-4x+1

Please help will give 5 stars with 1 thanks and 15 points

Answers

Answer:

mean is adding up all the numbers.

range means the difference between the Lowest and highest value.

Step-by-step explanation:

when we add the answer is 240.6.

divide it to 12..do the final answer is 20.05

range is 25.4_16.3

9.1

Answer:

Mean: 20.05

Range: 9.1

Step-by-step explanation:

To find the mean in this problem, first you add all the following numbers together then subtract by the quantity.

20.1 + 19.6 + 18.0 + 17.8 + 25.2 + 18.7 + 21.9 + 16.3 + 25.4 + 20.5 +17.8 + 19.3

= 240.6

Now, divide by the quantity which is 12 since there's 12 numbers.

240.6 divided by 12 = 20.05.

The mean is 20.05.

To find the range in the problem, you must subtract the smallest value from the largest value.

In this case, 16.3 is the smallest value and 25.4 is the largest.

25.4 - 16.3 = 9.1

9.1 is the range.

Hope this helps you!

23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.

Answers

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

Hope this helps

plz mark as brainliest!!!!!

AYUDA CON ESTO!!! ALGUIEN PORFAVOR

Answers

Answer:

Problem 1)  frequency:  160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

[tex]Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds[/tex]

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

[tex]\frac{200}{60} = \frac{10}{3} \approx 3.33[/tex]   loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

[tex]\frac{200}{65} = \frac{40}{13} \approx 3.08[/tex]   loops per minute

then the period is:

[tex]\frac{13}{40} =0.325\,\,\,minutes[/tex]

Therefore runner B has the smaller period

[tex]\frac{63,756×60}{70×5,280}[/tex]

Answers

Answer:

[tex]1035[/tex]

Step-by-step explanation:

(63756×60)/(70×5280)

=1035

please help me solve

Answers

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]

Answer:

(B)  18

Step-by-step explanation:

The angle x is 45 degrees.  Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3.  Since the right triangle DC is 45-90-45, the other side, CE, will also be 3.  Since CE is half of the side of the rectangle, multiply it by 2 to get 6.  The sides of the rectangle are 3 and 6.  Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.

Answers

Answer:

5 hours

Step-by-step explanation:

55/5 is 11 (he worked 11 hours total). 11-6 is 5

Answer:

5 hours on Saturday

Step-by-step explanation:

x = hours

5x + 6(5) = 55

5x + 30 = 55

5x = 25

x = 5

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