Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. A correct numerical answer with no work shown will receive only 1 point.

Micah vacationed on a Caribbean island in the summer at a luxury hotel. He spent an entire day on a sightseeing excursion that explored the beautiful scenery of the city. Those who went on the trip boarded a bus which went 15mph through a 30 mile section of the city's countryside. There was a lunch stop at a local eatery before the group continued on a 3 hour tour of the city’s sights at a speed of 10mph. Lastly, the bus left the city and travelled 40 miles back to the hotel. Micah arrived back at the hotel exactly 2 hours after leaving the local eatery. What was the bus’s average rate for the entire trip?

Answers

Answer 1

Answer:

The bus's average rate for the entire trip is approximately 14.29 mph

Step-by-step explanation:

The given information are;

The speed of the bus through the 30 mile section = 15 mph

The time the bus moved at 10 mph = 3 hours

The distance the bus travelled back from the city = 40 miles

The time Micah arrived back at the hotel after leaving the local eatery = 2 hours

Assuming Micah correctly arrived back at the hotel after leaving the city = 2 hours  

We have;

Total distance = 30 miles + 3 hour ×  10 mph + 40 miles = 100 miles

Total time = 30 miles/(15 mph) + 3 hours + 2 hours = 7 hours

The average velocity = Total distance/(Total time) = 100 miles/(7 hours) ≈ 14.29 mph.

The bus's average rate for the entire trip ≈ 14.29 mph.


Related Questions

PLS HELP ASAP FOR BRAINLIEST

Answers

Answer:

y=3

Step-by-step explanation:

it is because X=-2 had crossed the point y=3

hope this help you!!!! ;))))))

PLEASE HELP. Select the two roots of (3x+7)(2x-5)=0

Answers

Answer:

-7/3 & 5/2

Step-by-step explanation:

3x +7 = 0

3x = -7

x = -7/3

2x-5=0

2x = 5

X = 5/2

Calculate the median of the following set of numbers.



19, 22, 75, 37, 37, 27, 32, 15, 10

Answers

Answer:

37

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

A triangle has sides of length 30 98 and 103 is it a right angle

Answers

Answer:

No because by definition, theres is no exact 90 degree angle to form a Right angle triangle

Answer:

No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.

Which square root is closer to 9?

Answers

The square root of 9 is 3. 3x3= 9. Square root is when you can take a number , multiply it by itself and get the given number (9 , in this case).

how do I solve these two problems please explan how you got the answer ​

Answers

Answer:

They want you to have a good "grasp" of algebra... since you're asking about this I'm going to guess you don't feel that comfortable with it ... so I'll go in detail below. Even thought this is exactly what your math teacher is supposed to be teaching you.. ask your math teacher if I can have part of their salary :) $$

Step-by-step explanation:

in Question 18 , they are asking to solve for y  .  what that means is they want an equation that looks like  y= (some stuff)  In math terms they are asking you to isolate the y ...  which is the part your math teacher should have told you.. were you just not listening? :P Anyway,  soooo to solve for y we want to get y by it self.. on one side of the = sign and everything else on the other.. to do this use the order of operations ... but.. for doing algebra it has to be done in reverse order :0.... which i'm sure your math teacher hasn't mentioned and partly why algebra is so difficult.  

soooo  solve for 'y' ( isolate y )

12x-4y=20

-4y=20-12x

y=(20-12x)/-4

Yes, I know.. that answer is not very "satisfying"  but. that is solved for "y"

for Question 20 it's just straight algebra, no numbers.. it's more abstract...and solve for R ( isolate 'R')   to get  R by itself

P=(R-C) / N

I'm multiplying by N first b/c the next thing in those parenthesis and when you do the order of operations you'd usually to that first but remember we are going back wards in operations.. sooo  multiply both sides by N

P*N=R-C  ..  

now that R-C is no longer in parenthesis we can do that addition of C to both sides..  this is kinda tricky b/c of how the R-C were both over the N  anyway...

P*N +C=R

another way to think of this one.... maybe you don't want to and you can just skip this part if you want to be done...

P=(R-C)/N

P=R/N - C/N  now we can do addition first .. like I was mentioning above

P+C/N = R/N   multiply both sides by N

N(P+C/N)=R   b/c N/N =1 just drop it from the R'

P*N +C =R   we end up at the same place but my a different route.

Can you help me to solve this​

Answers

Answer:

[tex]\frac{4a-2}{2a+1}[/tex]

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus

[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]

= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator

= [tex]\frac{2(2a-1)}{2a+1}[/tex]

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

Answer: 4a-2/2a+1
Explanation: first factor out the expression. Second cancel out

Slope :3 y-intercept :1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = mx + b

The slope, or m, is 3.

The y-intercept, or y, is 1.

Plug them into the equation.

y = mx + b

y = 3x + 1

I believe the answer is Y=3x+1

The diameter of a circle is 9 ft. Find its area to the nearest tenth.

Answers

Step-by-step explanation:

D=9

A=pie*radius^2

=3.14*9/2*9/2

=63.58

=64

Ok so The answer is 14

what equation would make it a vertical line

Answers

Y=Mx+b always makes a straight line that can go in any direction

PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6

Answers

Answer:

D. 6

Step-by-step explanation:

Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6

I hope this helps!

PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT

Answers

The answer is 29 for x

What is the inverse operation of addition?

Answers

Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.

Step-by-step explanation:

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75

Answers

Answer:

A ) $1.75 x  ≤ $25

Step-by-step explanation:

the cost of x boxes of crayons = 1.75x dollars

If there is a budget of only $ 25,

So, the cost of x boxes of crayons ≤ $25

Answer:

Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A  $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.

help me pleaseeeeeeeeeeeeeee

Answers

Answer:

Neither

Step-by-step explanation:

Hope this helps!

Answer:

meme

how bout that

Multiply. Write your answer as a fraction in simplest form. 2/3 x 6/5

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2    6    12

_ x _ =  _

3    5    15

Simplest form is 4/5

Help asap people help with 6th grade..

Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6

5/12 * 3/20

3/5 * 3/20

5/8 * 5/24

3 5/12 * 1 3/8


2 9/10 * 1 7/18

Answers

Answer:

1. 20/90 ----- GCF is 10 ----- 2/9

2. 15/240 ----- GCF is 15 ----- 1/16

3. 9/100 ----- GCF is 1 ----- 9/100

4. 25/192 ----- GCF is 1 ----- 25/192

5. 451/96 ----- GCF is 1 ----- 4 67/96

6. 725/180 ----- GCF is 5 ----- 4 1/36

write an inequality for the following statement :

c is less than 1

Answers

Answer:

c < 1

Step-by-step explanation:

less than is <

c < 1

what is binomil (2a–1)(a–3)

Answers

Answer:

[tex]2a^2-5a+3[/tex]

Step-by-step explanation:

2a(a-3)-1(a-3)=

2a^2-6a-a+3=

2a^2-5a+3

Answer:

Step-by-step explanation:

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Answer:

y=4, y =16, x=10, x=15

Step-by-step explanation:

Plug the x values in the x place and then solve from there and for y values plug em in and easy answer

Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?​

Answers

Answer:

continuous graph

Step-by-step explanation:

:::::::::::::::::::bdisbsidvwish

Answers

Answer:

what you are looking for is the exact form which is 71 over 12

I hope this helps you!

(p.s can I please have brainlyest?)

Step-by-step explanation

Exact form: 71/12

Decimal form: 5.916

Mixed number: 5 11/12

A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm

Answers

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

volume = length × width × height

30 = 2 × 3 × h

30 = 6h

5=h

It is 5 cm high

Hope it helps you

Regards,

Rachana

Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved. How many more weeks will Sylvia need to save money for her trip?

Answers

Answer:

Step-by-step explanation:

55x + 165 = 1375

so just add 55 till you get there

22

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

Which one?
A. B. C. or D? ​

Answers

C. 7/2x -2.

Because slope is positive, y intercept is -2.

7/2 because if rise over run

Branliest would be appreciated if this helped

The answer is C hope this helps

State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *

Answers

Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

Charlotte is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 8 phones in a day would be $1300. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Answer:

C=100+162.5p

Step-by-step explanation:

In this problem, we want to write a model/equation that will represent the cost of producing a phone

Given, labor and materials cost per phone is $100

the cost of producing 8 phones a day is $1300

let us find the cost of producing one phone a day

8 phone is produced for $1300

1 phone will be for x

x= 1300/8

x=$162.5

The cost of producing a phone in a  day is $162.5

therefore the of producing p phone in a day is 162.5p

if C represents the total cost of producing a phone

then total cost, in dollars, of producing p phones in a given day.

C=100+162.5p

Answer: C = 100p + 500

This is the correct awnser

Step-by-step explanation:

Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost?

Answers

Answer:

$ 2.76

Step-by-step explanation:

Hi there !

1 pd ........... $1.15

2.4pd .........$ x

x = 2.4×1.15/1

= $ 2.76

Good luck !

Answer:

Bananas cost $1.15 per pound

Cost of 2.4 pounds of bananas

= $(2.4×1.15)=$2.76

$2.76 is the right answer.

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