A postal carrier delivers mail to 20 mailboxes on one side of a long street. Beginning with the first mailbox, the carrrier takes 5 seconds to sort and put the mail in each mailbox, and the mailboxes are 100 feet apart. How fast (in feet per second) must the carrier walk in order to complete delivery to all 20 mailboxes in 10 minutes? Answer in decimal form as a.b (for example, 9.7).

Answers

Answer 1

Answer:

3.8 seconds

Step-by-step explanation:

Time taken to sort the mail is [tex]5[/tex] seconds

Let time taken to go from one mailbox to the next be [tex]x[/tex]

Distance between the mailboxes is [tex]100[/tex] ft

So, sorting the mail for one mailbox and going to the next will be done in [tex](5+x)[/tex] seconds

This will happen 19 times and 5 seconds will be needed to sort the mail for the last mail box. The carrier will have to deliver to all the 20 mailboxes in 10 minutes. So, the total time taken will be

[tex]19(5+x)+5=10\times 60\\\Rightarrow 19(5+x)=595\\\Rightarrow 5+x=\dfrac{595}{19}\\\Rightarrow x=\dfrac{595}{19}-5\\\Rightarrow x=\dfrac{500}{19}\ \text{s}[/tex]

Time taken to go from one mailbox to the other is [tex]\dfrac{500}{19}\ \text{s}[/tex]

Speed is given by

[tex]v=\dfrac{100}{\dfrac{500}{19}}\\\Rightarrow v=3.8\ \text{ft/s}[/tex]

The speed at which the carrier has to move from one mailbox to the next is 3.8 seconds.


Related Questions

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.​

Answers

Answer:

It is

-0.5(3x+5)= -1.5x+2.5

Step-by-step explanation:

-0.5(3x+5)

multiply-0.5 with 3x and 5 to get rid of the brackets.

-0.5×3x= -1.5x

-0.5×5= 2.5

-1.5x+2.5

Answer:

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Step-by-step explanation:

(13 points & to get BRAINLIEST, plz give a good explanation so I can improve)

Indications:
Ignore my work for number 1, I need help with number 2. I must submit before 11:59 and it would be really appreciated to get an explanation, not only the answers to the questions.

Answers

I would just like to point out that you solved your first equation incorrectly.

I didn't try finding the correct answer but -23 + 5 = -18 not 18, you forgot the negative sign!!!

Which part of this graph shows a nonlinear relationship?

Answers

Answer:

3

Step-by-step explanation:

3 because a line can’t go like how it’s showed in the picture

x =
y =
z=

I need to find x,y,z we’re working with transversals please help

Answers

X=40
Y=30
Z=90

Gshshba and hazel brown eyes and brown green green brown brown orange orange and brown orange green brown orange

Solve the inequality
3m - 3(m + 8) > 3m

Answers

Answer:

m<−8

Step-by-step explanation:

Find f(-3) if f(x)=X+ 2x - 1​

Answers

Answer:

i 100% do not know

Step-by-step explanation:

Answer: f(-3)=-10
Explanation: We are given f(x)=X+2x-1. You would replace every x variable with -3. You’re new equation would look like this: f(-3)=-3+2(-3)-1. Then solve: f(-3)=-3+2(-3)-1
f(-3)= 3-6-1
f(-3)= -10

Translate the sentence into an equation.

The sum of 5 times a number and 2 is 7.

Use the variable y for the unknown number.

Answers

Answer:

5y+2=7

Step-by-step explanation:

..........................

which of the following is the equation of a line given the following
slope:5 and y-intercept: -3

a. y = -3x - 5
b. y = 5 + 3x
c. y = 5x - 3
d. y = -3x + 5​

Answers

Answer:

C.

Step-by-step explanation:

Slope-intercept form is described as y=mx+b, where m = the slope, and b = the y-intercept. Since you are given these two numbers, just plug them into the slope-intercept form. This gives you y=5x-3.

ALGUIEN QUE ME AYUDE A COMPLETAR LOS CUADRADOS

Answers

The answer is fjfjfj

Use the side lengths of triangle DEF and the fact that the triangles are similar to find the length of side AB and type your answer below. (Note: Do NOT include a unit label in your answer.)

ILL GIVE YOU A BRANLIEST IF YOU GET IT RIGHT

Answers

[tex] \frac{12}{3} = \frac{AB}{4} \\ [/tex]

[tex]4 = \frac{AB}{4} \\ [/tex]

Multiply sides by 4

[tex]AB = 16[/tex]

Need help Just say a b c or d

Answers

Answer:

A) 2

Step-by-step explanation:

19=2x-15

19-15=4

4=2x

4÷2=2

×=2

The answer is B. Hope this helps!

34$ in 4 hours how much will she earn in 10 hours

Answers

85 dollars in 10 hours

Answer:

Richel could earn $ 85 if she works 10 hours

Step-by-step explanation:

As given

Richel earns in 4 hours = $34

By unitary method

Richel earns in 1 hour =  34/4

Richel earns in 10 hours=   34/4 x 10 =340/4 = 85$

Hence, Richel could earn $ 85

Use the distributive property to simplify the following expression:
1/3 (9-6n)

Answers

Answer:

3 - 2n

Step-by-step explanation:

a) 5 x something = -95

Answers

Answer:

-19

Step-by-step explanation:

Brainliest plsssss

Given h(x) = -x + 4, solve for a when h(x) = 0.

Answers

x=4
0=-x+4
-4=-x
divide by negative
x=4

What is the number 7 1/3 written as an improper fraction?

Answers

Answer:

22/3

Step 1: Multiply 7 by 3.

7 x 3 = 21

Step 2: Add 1.

21 + 1 = 22.

Answer = 22/3

Answer:

22/3

Step-by-step explanation:

7 * 3 = 21

21 + 1 = 22

22/3

To make this an improper fraction you need to multiply the denominator by the whole number. Then add the sum of that to the numerator.

Hope this helps! :)

3a + 4 = 2a + 7 and justify your steps

Answers

Answer:

3

Step-by-step explanation:

3a-2a=7-4

a=3 the answer is 3

Answer my math question!!

Answers

your answer is 0.4 or 0.40

Answer:

0.4

Step-by-step explanation:

Convert 65.000.000 to scientific notation.

Answers

Answer:

6.5 x 10^4

Step-by-step explanation:

Answer:0*10^0

Step-by-step explanation:

if you need 1/4 cup for 1 pound then how much of a cup would you need for 8 ounces?

Answers

Answer:

1/8

Step-by-step explanation:

1 pound =16 ounces

1/4 divided by 2 is 1/8

1/8=8 ounces

Which division problems below have the same quotient as –27 ÷ 9?
A
. 3 ÷ 1
A. 18 ÷ (–6)
B.–6 ÷ –2
C. 27 ÷ (–9)
D. –15 ÷ –5
E.–9 ÷ 3

Answers

Answer:

[tex]27 \div ( - 9)[/tex]

please mark me brainliest

Please help
ITS DUE SOON​

Answers

Answer:

ur ans is 3e9

Step-by-step explanation:

real answer ok and chat me

10 ⁸ = 100000000 then e9 comes in calc ok so I wrote it

This year the winner of the New York Marathon ran the 8-kilometer event in 24 minutes. What is the runner’s unit rate?

Answers

8km - 24 minutes, to find the unit rate (how long it took to run 1km)

We would make a ratio,

8:24

Now just simplify,

8:24

=

1:3

Therefore the unit rate would be 1 kilometer covered for every 3 minutes.

Answer:

0.33 repeating kilometers per minute. 1km/3min

what is the meaning of life to you?

Answers

Answer:

To me, life is something to explore as a pioneer and come out as a successful person. Each person's life is designed to be unique and your experience cannot be felt my others unless they have gone through it the same exact way you did. Life gives you more than you expect and it doesn't always have to be happiness. You have to go deeper to discover all the skills and talents to bring out a fruitful life.

can someone please identify the slope of 10x + 8y = 40​

Answers

Answer:

Y=-5/4+5

=5/4

Step-by-step explanation:

First lets put it into proper form

we get Y=-5/4+5

Then lets locate the slope which is -5/4

Thats your slope

Given the function f(x) = 4ˣ evaluate f (-2)

Answers

Answer:=1/16

Step-by-step explanation:

4^-2=[tex]\frac{1}{4^2}[/tex]

4^2=16 so [tex]\frac{1}{16}[/tex]

Challenge An arts academy requires there to be 4 teachers for every 100 students and 3 tutors for
every 33 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 77 students?
The academy has students per teacher.
Enter your answer in the answer box and then click Check Answer.
2
CASAS
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parts
remaining
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Answers

25 students per a teacher and 33 students per a tutor.if the academy has 77student they need 2 tutors

April has 196 stickers. Meredith has 3 times as many stickers. Use rounding to estimate the number of stickers that Meredith has.

Answers

Answer:

588 or 590if rounding to tens

Step-by-step explanation:

An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.

What will the account be worth in 25 years?

Round your answer to the nearest cent.

Do NOT round until you have calculated the final answer.

Answers

= 100 ( 1 + 3/100 ) ^ 25
= 209.377793
= 209.4

Ordered pairs please help

Answers

The first answer choice would not be an function because it has repeated x values.

Answer: {(9,3),(2,-2),(2,6),(-5,2)}
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