It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same job. How long would it take if they worked together?

Answers

Answer 1

Answer: [tex]\frac{12}{7}\ \text{hours}[/tex]

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes [tex]\frac{1}{4}[/tex] part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes [tex]\frac{1}{3}[/tex]  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

[tex]\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}[/tex]


Related Questions

A story owner wants to prepare 100 lb of a candy mix that she will she for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost?

Answers

Answer:

1.65

Step-by-step explanation:

100 pounds of the mixture = 1.36 * 100 = 136 dollars.

She uses 20 pounds of jelly beans that cost

20 * .20   = 4.00

136 - 4 = 132 dollars left for 80 pounds of sugar candies.

80 pounds = 132 pounds of sugar candies.

1 pound =  x

80/1 = 132 / x             Cross multiply

80x = 132

x = 132 / 80

x = 1.65 / per pound

Write 51/7 in radical form

Answers

7 2/7 I think not sure

I need some questions for grade 8 for algebraic manipulation
The questions in which we need to put formulas and solve them

Answers

Answer:

x + y + z + 13 ÷ m has

A. one term

B. two term

C. three term

D. four term

-2x + 5 + 10x - 9

3(x + 7) + 2(-x + 4) + 5x

6+3x-5y+7x-6y+2

2x - 8 = -x + 4

Write the decimal 0.532 as a percent.

a. 53.2%
b. 532%
C. 5.32%
d. 0.532%

Answers

I believe it would be a.53.2%
The answer would be 53.2% because 1.0 is 100%

20 points
Are the first too correct?
And what would the last one be?

Answers

Answer:

a) cos

b) sin

c) tan maybe?

Step-by-step explanation:

please help meeeeee

A line passes through the origin, (-1, 1), and (4, n). Find the value of n.
N =​

Answers

Answer:

-4

Step-by-step explanation:

find the slope:

[tex]\frac{1-0}{-1-0}= \frac{1}{-1} =-1[/tex]

substitute:

y= 4(-1)

y=-4

(4,-4)

A lap around a school track equals
of a mile. Caleb runs 4 laps on Monday and 6 laps on Wednesday.
How many more miles does Caleb need to run Thursday if he wants to run 6 miles total?

A. 1 1/2
B. 2 1/2
C. 3 1/2
D. 4 1/2

Answers

B if you need an explain I can do it
B because that is the answer boss

Describe the properties of the graph of the given polynomial functions

Answers

Answer:

graph of polynomial function is smooth and continues graph it doesn't have gap and sharp line.

Step-by-step explanation:

first we make table to joine numbers on graph then we can join the number on the graph.

At what rate has she been making deposits to her savings?

Answers

Answer:

20 dollars per month

Step-by-step explanation:

85 = 25 + x3

60 = x3

20 = x

Gloria drew a trapezoid on a coordinate grid. She wants to use a transformation that will change the
size of the trapezoid but not the orientation. Which transformation should she use?
a. rotation
b. reflection
c. translation
d. dilation
Fa and c only
Gb and d only
Hd only
J None of the above

Answers

She should use None of the above
d. Dialation.

Dialations only make the shape larger or smaller. It does not change the general shape nor move the shape up/down/left/right.

The length of a rectangle is 36
centmeters and the width is 9
centimeters. A similar rectangle has
a width of 3 centimeters.
what is
the length of the decond triangle?

Answers

Answer: 12cm

Step-by-step explanation:

They are similar, so we can set an equation of:

the ratio of length and width of the big triangle equal to the ratio of length and width of the small(second) triangle.

36:9 = x:3

36/9 = x/3

9x = 3(36)           by use the cross multiply

9x = 108

x = 12 cm

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 ⅗ door. How many liters of paint are needed for 1 door?

Answers

Answer: 1.25 litres

Step-by-step explanation:

Two litres of paint is sufficient to paint  1 ⅗  doors.

To find out the amount of paint needed to paint one door, you can use direct proportion:

2 litres           :              1 ⅗  door

x                                    1 door

Cross multiply to get:

1 ⅗ x = 2

x = 2 /  1 ⅗

x = 2 ÷ 8/5

x = 2 * 5/8

x = 1.25 litres

solve the following equation in substitution method: y=x-2 and x+y=4​

Answers

Answer:

Step-by-step explanation:

y=x-2

x+(x-2)=4

2x-2=4

2x=6

x=3

5x + 7 = 2x - 8 can anyone say how to solve please ​

Answers

Answer:

x = - 5

Step-by-step explanation:

Given

5x + 7 = 2x - 8 ( subtract 2x from both sides )

3x + 7 = - 8 ( subtract 7 from both sides )

3x = - 15 ( divide both sides by 3 )

x = - 5

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP

USE THE PIC


10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.

Answers

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

Averigua: Cuantos habitantes tiene tu localidad y cuantos tu provincia Calcula A qué porcentaje de la población del Ecuador con responder xf 13 puntos y responden esta pregunta porfa ❤❤❤❤❤❤❤✨​

Answers

Answer:

La Provincia del Guayas comprime el 25.1% de la población de Ecuador. A su vez, la Ciudad de Guayaquil tiene una población igual al 15.58% de la población ecuatoriana.

Step-by-step explanation:

Dado que vivo en la Provincia del Guayas, y en la ciudad de Guayaquil, los datos de población solicitados son los siguientes:

-Provincia del Guayas: 4.387.434 habitantes, es decir, un 25.1% del total de la población de Ecuador, que es de 17.475.570 habitantes, conforme surge del siguiente calculo:

17.475.570 = 100

4.387.434 = X

4.387.434 x 100 / 17.475.570 = X

438.743.400 / 17.475.570 = X

25,10 = X

-Ciudad de Guayaquil: 2.723.665 habitantes, es decir, un 15.58% del total de la población de Ecuador, conforme surge del siguiente cálculo:

17.475.570 = 100

2.723.665 = X

2.723.665 x 100 / 17.475.570 = X

272.366.500 / 17.475.570 = X

15.58 = X


Write the equation of the line that passes through the points (0, -5) and (4,3)

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

See the attached images for workings

A bag contains 2 beads Are blue 1 of the bead is green 3 of the bead is purple

Answers

Answer:

hope I'm right good luck

Step-by-step explanation:

2x1x3=6 so the rest is 6 which equals 12

Answer:

Step-by-step explanation:

Well there are 12 beads.

2+1+3=6 and that means there are 6 red beads.

Then 6 red beads+3 Purple beads=9 Beads and 9/12 is the same as 3/4 meaning the probability of picking a purple/red bead IS 3/4

Find the solutions of the quadratic equation 3x^2 – 2x +4= 0.

Answers

Answer:

C. x =(1±i√11)/3

Step-by-step explanation:

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=3, b=−2, and c=4 into the quadratic formula and solve for x.

2±√(−2)²−4⋅(3⋅4)2⋅3

Simplify.

x=(1±i√11)3

Find the perimeter of the figure.

Answers

Answer:

87

Step-by-step explanation:

So there are 5 numbers listed. You can obviously see the two small sides are 9. They are the same size. Then you have the three 9s on the top. This is important. So far we are at 75ft. The complication comes in at what is the unknown side. Well if you see the three 9s on top. Two are going horizontal along with the 30. So 9+9 is 18. 30-18 is 12. So that side is 12. Answer is 87.

Hope this helps

Please help.
Is algebra.

Answers

Answer:

7 acd 8 use mathpapa or desmos graphing calculator

Step-by-step explanation:

7 acd 8 use mathpapa or desmos graphing calculator

A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.

Angle of Elevation Distance Traveled
15 31.9
25 48.8
30 55.5
45 63.8
50 62.8
55 59.9
60 55.5
70 41.0
Using a quadratic regression calculator, determine the values of a, b, and c that can be used to write a quadratic function that provides a reasonable fit to the set of data. What is the value of c?

A). 8.5411
B). -8.5411
C). 85.411
D). -85.411

Answers

The answer is D hope this helps your very welcome

Answer:

-8.5411

Step-by-step explanation:

I just did this with the desmos calculator !

If Jake has 132 braincells, and Austin takes 131 away, how many does Jake have after getting three back and losing three.

Answers

Answer:

1

Step-by-step explanation:

132-131=1

1+3=4

4-3=1

poor jake.....

Answer:

isn't it 1

Step-by-step explanation:

coz 132 - 131 = 1

1 + 3 = 4

4 - 3 = 1

Someone help ASAP:

Slope = 4 ; Point (-2,1)

Answers

Whats the q tho?? The formula for slope is y=mx+b M= slope b= Y intercept whatever you’re looking for hope this helped also slope= rise over run. Take 2 points and its y/x - y/x to find m

Evaluate 8a+3b-10+c2 when a=2, b=5 and c=4​

Answers

Answer:

8(2)+3(5)-10+4(2)

16+15 -10+8

=31-10+8

=21+8=29

8a+3b-10+c2
8(2)+3(5)-10+4(2)
16+15-10+8
31-18
13

Does this triangle have a hypotenuse about 38 feet long

Answers

the hypotenuse is 37.9, so 38 would be the answer if rounded

Why is (a+b)(a-b) = a2-b2

Answers

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

This is a standard algebraic identity, called the difference of squares

Find the area of the composite shape below.
help to get sum coin

Answers

Answer:

Composite Area = 1105.94

Step-by-step explanation:

Remark

The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.

Width

2*radius = width

width = 2 * 11

width = 22

Area of the circle

Area = pi * r^2

r = 11

Area = 3.14 * 11^2

Area = 3.14 * 121

Area = 379.94

Area of the rectangle

Area = L * W

L = 33

W = 22

Area = 33 * 22

Area = 726

Total Area

Total Area = Area of Rectangle + Area of the Circle

Total Area = 726 + 379.94 = 1105.94

4 - Зc — 5c2
write the polynomial in standard form.

Answers

-5c^2-3c+4 This polynomial is in standard form, now, and the leading coefficient is 5, because it is the coefficient of the first term. Degree is 2, due to -5c^2.

Is this a proportional graph?

Answers

yes that graph is a proportional graph
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