A truck driver travels at an average speed of 65 miles per hour on a 200-mile trip to pick up a load of freight. On the return trip (with the truck fully loaded), the average speed is 45 miles per hour. What is the average speed for the round trip? (Round your answer to one decimal place.)

Answers

Answer 1

Answer:

53.2 mph

Step-by-step explanation:

A truck driver travels at an average speed of 65 miles per hour on a 200 miles trip to collect a load of freight

On the return trip the average speed is 45 miles per hour

Average speed= total distance/total time

The first step is to calculate the total time

Time spent when going on the trip(t1) can be calculated as follows

200 = 65 × t1

t1= 200/65

t1= 3.0769 hrs

The time spent when returning from the trip can be calculated as follows

200 = 45 × t2

t2= 200/45

t2= 4.44 hrs

Total time = 3.0769 hrs + 4.44hrs

= 7.521 hrs

The total distance can be calculated as follows

= 2×200

= 400

Therefore the average speed for the round trip can be calculated as follows

= 400/7.521

= 53.2 mph

Hence the average speed for the round trip is 53.2 mph


Related Questions

Round 17.834 to the nearest tenth. Your answer​

Answers

Answer:

Hey there!

17.834 rounded to the nearest tenth is 17.8

Let me know if this helps :)

17.8 because the .03 is less than .05 so the .8 stays the same. I hope this helps!! ^_^

This summer, Silvia has been selling lemonade for $9 per cup. If Silvia has sold 19 cups so far, how much money has she made?

Answers

Answer:

$171

Step-by-step explanation:

Price of lemonade = $9 per cup

Quantity sold = 19 cups of lemonade

Revenue = price of the product × quantity of the product sold

Silvia's total revenue = price × Quantity

= $9 × 19 cups

= $171

Silvia has made a total of $171 from selling 19 cups of lemonade at $9 each

There are 3 different highways from City W to
City X, 4 different highways from City X to
City Y, and 3 different highways from City Y
to City Z. How many different routes are there
for a trip from City W to City X to City Y to
City Z?

Answers

Answer:

6 x 4 you have 4 numbers and each can be put in 6 different ways. so it is 24 i think

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

4*3*3

12*3

36

Find g(F(4)).
g(f(4)) =
4

Answers

Answer:

Step-by-step explanation:

f(4)= 4 - 7 = -3

g(-3) = (-3)^2 = 9

Answer:

g(f(4)) = 9

Step-by-step explanation:

Evaluate the expression for the given values.
MX- y when m=5, X = 3, and y=8
Enter your answer in the box
I NEED HELP

Answers

Answer:

mx-y=7

Step-by-step explanation:

mx-y

5*3-8

15-8=7

Please solve this questions step by step

Answers

Answer:

I am not solving the questions from 1 to 8 , as they are only simple addition questions.

Answer:

Step-by-step explanation:

The figure below shows a rectangular parking lot.
67 yd
86 yd
What’s the perimeter

Answers

Answer:

306 yd

Step-by-step explanation:

[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]

Hope this helps.

plz help need to finish by 12:00 am

Answers

30.

[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]

31.

[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]

32.

[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]

33.

[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]

The value of the expression - 3. () is (Do without a calculator and use "T" as your fraction bar.)​

Answers

Answer:

-10/21

Step-by-step explanation:

find f(1/4)

if f(x)=4x^2-2/3x

please guys explain it to me I cant understand it ​

Answers

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

10. a? = 3,600
algebra solve each equation​

Answers

Answer:

a=360

Step-by-step explanation:

3600 divided by 10 is 360

If it is raining then I will need an umbrella

Answers

Yeah because you don’t wanna be wet

Answer:

yes

Step-by-step explanation:

so you don't get wet

47. There are 1.7 grams of fat in a
serving. How many grams of fat
are in 0.8 servings?
A 13.6 grams
B 2.13 grams
C 1.36 grams
D 1.26 grams

Answers

Answer:

C. 1.36

Step-by-step explanation:

1.7 * 0.8 = 1.36

since there is not a whole serving it's less than 1.7

A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction

Answers

Answer:

Yes, we agree with her prediction.

Step-by-step explanation:

Given:

Number of sample student = 60

Number of total student = 600

Number of student plan to go college = 675

Sample of student plan to go college = 75%

Find:

Prediction is correct or not

Computation:

Number of student plan to go college in sample = 60 × 75%

Number of student plan to go college in sample = 45

Number of student plan to go college = Number of student plan to go college in sample [900 / 60]

Number of student plan to go college = 45[900 / 60]

Number of student plan to go college = 45[15]

Number of student plan to go college = 675

So,

Yes, we agree with her prediction.

Allen and Renaldo are gaining weight for basketball season. Allen weighs
178 pounds and is gaining three pounds per week. Renaldo weighs
203 pounds but is gaining two pounds per week.
Part A: In how many weeks will they both weigh the same amount?

Answers

25 weeks
178 + (3 x 25)
178 + 75 = 253

203 + (2 x 25)
203 + 50 = 253
Correct answer is 25 weeks.

3x+x+4=-20 show work

Answers

Answer:

-6

Step-by-step explanation:

3x+x+4=-20

4x+4=-20

4x=-24

x=-6

Help please what is 50x+25x-10y

Answers

Steps to solve:

50x + 25x - 10y

~Combine like terms

75x - 10y

Best of Luck!

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]

Step-by-step explanation:

[tex]50x+25x-10y[/tex]

Let's simplify this. First, we will combine the like terms.

[tex]50x+25x-10y[/tex]

Let's add parenthesis.

[tex](50x+25x)+(-10y)[/tex]

This equals to:

[tex]75x+-10y[/tex]

Hope this helps!

When cubing a number, you have to...

Answers

Answer:

multiply the number its self 3 times , for example 3x3x3=27 = 3^3

Step-by-step explanation:

Answer:

you have to multiply the number by itself 3 times

Step-by-step explanation:

can i get brainliest? i only need 2 more

Please answer the question in the picture

Answers

Answer: Slope = -7/5

=========================================================

Explanation:

Pick any two rows you want. I'll select the first two rows.

Each row represents an (x,y) point

The first row means (-8,55) is one point and the second row means (2,41) is another point.

Use these two points in the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (41-55)/(2- (-8) )

m = (41-55)/(2 + 8)

m = -14/10

m = -7/5 is the slope

The negative slope means the line goes downhill as you move from left to right.

Specifically, every time it drops 7 units the line moves over to the right 5 units.

slope = rise/run = -7/5

rise = -7, negative rise means we go down 7 spaces

run = 5 means we move to the right 5 spaces

Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

87 11/14

Step-by-step explanation:

1,229 ÷ 14

It can also be written as

1,229 / 14

14 in 12 is not possible

14 in 122 is 8 remainder 10

The 10 remaining + 9 in the the given expression

14 in 109 is 7 remainder 11

The answer is 87 11/14

87 whole number 11 over 14

1,229 / 14 = 87 11/14

helpppp MEEE!!!! Helpp​

Answers

Answer:

For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)

Step-by-step explanation:

The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.

Solve the equation m2 = 14

Answers

Answer: m = 7

7 x 2 = 14

idk anymore

Steps to solve:

m² = 14

~Take the square root of both sides

√m² = √14

~Simplify

m = ±√14

Best of Luck!

Please help. Choose the answer that makes the sentence true. (Blank)rational numbers are real numbers. A. All B. Some C. No

Answers

A. all rational numbers are real numbers

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours 3.0 hours 4.0 hours

Answers

Answer:

A) on edge2020

Step-by-step explanation:

The greatest amount of time when they worked together is 2.4 hours.

What is algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Randy at most 4 hours to clean the offices.

Trey at most 6 hours to clean the offices.

If they work together, they will clean

1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together.

Thus,

5*x/12=1

5x=12

x= 12/5

x= 2.4 hours.

Learn more about this concept here:

https://brainly.com/question/14063451

#SPJ2

What is the median of the data shown heights of the members of me.smith class

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{72}}}}}[/tex]

Step-by-step explanation:

Given data : 68 , 69 , 71 , 71 , 71 , 73 , 74 , 75 , 75 , 78

N ( total number of observation ) = 10

Finding the position of median

[tex] \boxed{ \sf{median = { (\frac{n + 1}{2} )}^{th \: item} }}[/tex]

[tex] \dashrightarrow{ \sf{median = { (\frac{10 + 1}{2} )}^{th \: item}}} [/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{11}{2}) }^{th \: item}} }[/tex]

[tex] \dashrightarrow{ \sf{ median = {5.5}^{th \: item}}} [/tex]

[tex] \sf{ {5.5}^{th} }[/tex] item is the average of 5 th and 6 th items.

Now, Finding the median

[tex] \dashrightarrow{ \sf{median = \frac{ {5}^{th}item + {6}^{th} item}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{71 + 73}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{144}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{72}}[/tex]

Hope I helped!

Best regards! :D

Which graph shows all natural numbers less than three?

Answers

Answer:

A i think

Step-by-step explanation:

Answer:

Try b out

Step-by-step explanation:

if that isn’t working for you {because it didn’t work for me}try b because it says less the 3 b is the only one the is less then three

Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of
sunglasses. Which is the best estimate for the amount of money Megan has left?
O A. $12
B. $16
C. $20
D. $24

Answers

the answer is B. $16.00 because when you do the math it comes up to 15.98

$6 is left with Megan.

What is an equation?

An equation is a mathematical statement with equality sign in between two mathematical expressions.

How to solve the problem?

Suppose she is left with $x.

Then as per the question

$45.12=$21.25+$7.89+$x

⇒$x=$15.98≈$16

Hence, Megan is left with $16.

Learn more about equations from- https://brainly.com/question/10413253?referrer=searchResults

#SPJ2

Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Answers

Answer:

The correct option are;

f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative

Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

Step-by-step explanation:

For the equations f(x) = x² - 4 and g(x) = x - 3, we have;

(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5

At x = 2, we have;

(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3

Similarly, we have;

(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7

At x = 2, we have;

(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3

Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;

a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative

(f ο g)(2) = (g ο f)(2)

Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

(f ο g)(x) = f(g(x)) = 4·x²

(f ο g)(x) = 4·x²

(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²

(g ο f)(x) = 16·x²

∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²

(f ο g)(x)  ≠ (g ο f)(x) the function is not commutative.

Answer:

D

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

can 1.33 be 1.3? i need help quick please!?

Answers

Answer:

yes it can be

Answer:

Step-by-step explanation:

1.33 and 1.3 are not the same, although they share the digits 1.3.

1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.

So:  1.33 and 1.3 are in the same ball park, but are not the same.

22-3 (x-70) = x+20

please help​

Answers

Answer:

x = 53

Step-by-step explanation:

22 - 3 ( x - 70 ) = x + 20 Multiply out

22 - 3x + 210 = x + 20

22 + 210 - 3x = x + 20

232 - 3x = x + 20

232 - 3x + 3x = x + 3x + 20

232 = 4x + 20

232 - 20 = 4x + 20 - 20

212 = 4x

212/4 = 4x/4

212/4 = x

x = 53

Answer:

Step-by-step explanation:22-3(x-70)=x+20

22-3x+210=x+20

22+210-3x+3x=x+3x+20

232=4x+20

4x=232-20

X=53

sry but  hop now it's correct

hope that it's correct.plz comment on box if it's incorrect

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