A group of friends is addressing wedding invitations. Casey can address 20 envelopes in one hour, Anne can address 44 envelopes in two hours, and Paula can address 68 envelopes in three hours. About how long will it take them to address 400 envelopes?

Answers

Answer 1

Answer:

Time taken = 6.2 hours

Step-by-step explanation:

Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.

Casey can address 20 envelopes at the rate of 20 per hour.

Casey rate = 20 envelope per hr

Anne can address 44 envelope in 2 hours

Anne rate = 22 envelope per hr

Paula can address 68 envelope in 3 hours

Paula rate = 68/3 envelope per hr

Time it will take them to address 400 envelope can be solved below

Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3

Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103

Time taken = 6.2 hours


Related Questions

A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.

Answers

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?

Answers

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?

please help me i Just need 2 more to finish please

Answers

Answer:

No

Step-by-step explanation:

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

No, the government offices can not be represented as a function of the ministers' names.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, names of offices and their presidents,

Since,

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

Hence, the government offices can not be represented as a function of the ministers' names.

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ5

What is the value of the expression (–5) -3 but the -3 is an exponent.

Answers

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7

Answers

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?

Answers

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

18/3 = 6

Answer: 6 strawberries

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?

Answers

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Brian invests £2300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 2 years?

Answers

Answer:

im pretty sure  $460 idk

Step-by-step explanation:

Find an interest by using the formula  

I=P⋅i⋅t

, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this  

P = $2300, i = 10% and t = 2 years,

Can you help me find x?

Answers

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13​

Answers

Answer:

19.75

Step-by-step explanation:

U add the, all up then divide by 4

Answer:

19.75

Step-by-step explanation:

17+24+25+13= 79

79/4= 19.75

Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2

start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?

Answers

Answer:

Step-by-step explanation:

im confuesd here

2.25x = 1.5x + 6

What is the value of x

Answers

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k

Answers

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.

Answers

Volume of a cylinder=Cross-sectional area x height =pir^2h
Volume of a cone=1/3pir^2h
So, the volume of a cylindrical is 1/3 the volume of a cone.


What is the base 8 representation of the number 600?

Answers

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?

Answers

Answer:

h = 9

Step-by-step explanation:

[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]

Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?

Answers

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

 

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

Which best describes the transformation that occurs from
the graph of f(x) = x² to g(x)=(x-2)²+3

Answers

Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.

Answers

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

What is the y intercept of y= -3x

A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP

Answers

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Divide x³+x²+x+1 by x+1

Answers

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?

Answers

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.

To answer this question, we need to take into consideration a very important property of right angle triangles.

The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides

The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.

Now let’s have the squares!

The square of the hypotenuse is 16 * 16 = 256

Let’s sum the squares of the other two sides;

(8 * 8) + ( 14 * 14) = 64 + 196 = 260

These squares are not equal so we can conclude that the triangle is not a right triangle

Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

C. Exponential decay

Step-by-step explanation:

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5

Answers

It’s A because 100 times number of hours is 100x and you add the 3.5 because that’s how many miles we already know he traveled.

Which algebraic expression is equivalent to this expression?

5(3x+2)+18

Answers

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

what is surface area?​

Answers

the surface area is the area of the outside of a 3D shape for example, let’s say you have a cube, a cube has 6 sides, so you have to find the area of each side and then add it up, since it’s a cube you would technically have to find the area of one side and then just multiply it by 6, that would be the easiest way to do it


Hope I helped!

In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.

Answers

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:

Answers

Answer:

no clue bud

Step-by-step explanation:

plzzzzzzzzzzzzzzzzz i need help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

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