Allan has to make a delivery that is 1200 miles away. by law, he can only drive his truck for 20 hours without taking a break. What must allan's average speed be if he wants to make the delivery before he has to take a break?

Answers

Answer 1

Answer:

Step-by-step explanation:

60 average speed

Answer 2

The delivery must be completed by Allan before he needs to stop, thus his average pace must be at least 60 mph.

What is the average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

If Allan has to make a delivery that is 1200 miles away and can only drive for 20 hours without taking a break,

we need to find his average speed to see if he can make the delivery before the 20-hour mark.

We can use the formula:

average speed = total distance / total time

We know the total distance is 1200 miles.

To find the total time, we need to know Allan's maximum driving time before taking a break. Let's assume that Allan will take a break after driving for 20 hours.

So, Allan's total time available to make the delivery is 20 hours.

Therefore,

average speed = total distance / total time

average speed = 1200 miles / 20 hours

average speed = 60 miles per hour

Allan's average speed must be at least 60 miles per hour to make the delivery before he has to take a break.

Learn more about the average rate of change here:

https://brainly.com/question/28744270

#SPJ3


Related Questions

simplify (3a²b²)²+(ab)²​

Answers

Answer:

[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)

Step-by-step explanation:

simplify (3a²b²)²+(ab)²​; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term

[tex]9a^{4} b^{4} + a^{2} b^{2}[/tex] ; factor out [tex]a^{2} b^{2}[/tex]

[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)

(3a^2b^2) + (ab)^2 = (3a^2b^2) + (a^2b^2)
= 4a^2b^2

4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?​

Answers

Answer:

9 t-shirts

Step-by-step explanation:

divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total

22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?

Answers

Answer:

17%

Step-by-step explanation:

12,750/75,000=0.17

Which means it's 17%

Brainliest please-

90:120 ratio in the simplest form,

Answers

Step-by-step explanation:

90:120

9:12

3:4

Topic: ratio n proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Step-by-step explanation:

90 : 120

3: 4 is the simplest form

what is the value of this expression below when z=3
10z^2-2z-2

Answers

Answer:

82

Step-by-step explanation:

10z^2-2z-2

10x3^2-2x3-2

90-6-2

90-8

82

Answer:

82

Step-by-step explanation:

Evaluate 10z² - 2z - 2 where z = 3:

[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2

3² = 9:

[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2

10 × 9 = 90:

[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2

-2 × 3 = -6:

[tex] \longrightarrow [/tex] 90 - 6 - 2

90 - 6 - 2 = 90 - (6 + 2):

[tex] \longrightarrow [/tex] 90 - (6 + 2)

6 + 2 = 8:

[tex] \longrightarrow [/tex] 90 - 8

[tex] \longrightarrow [/tex] 82

A city park has a large circular garden with a path around it. The diameter of the garden is 60 feet. Jason works for the City Park Department. He needs to spread plant food all over the garden. What is the area of the park he will cover with plant food?

Answers

Answer:

He will cover 2,827.433 feet² area of the park with plant food.

Step-by-step explanation:

The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.

diameter= 60 feet

radius = diameter/ 2= 60/2= 30 feet

The area of the circle can be found by the formula πr²

Area= πr²=π(30)²

 Area = 900π= 2,827.433 feet²

He will cover 2,827.433 feet² area of the park with plant food.

HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O 1/5
O 1
O 5
O None of the above

Answers

1/5 using the slope formula

I REALLY NEED THIS DONE RIGHT NOW
evelyn knits hats and scarves for charity. she records the time it takes and the amount of yarn needed to make one of each item. Last winter Evelyn knitted for 180 hours. She used 2,520 yards of yarn. How many hats and scarves did Evelyn knit? (it has the data)

Answers

Answer:

It is midpoint, vertex, and medians in that order.

Step-by-step explanation:

there

Answer:

[tex]Evelyn \: knit \: made \to \\ \boxed{12 }\: hats \: and \: \boxed{8 } \: scarves[/tex]

Step-by-step explanation:

[tex]let \: the \: hats \: be \to \: h \\ let \: the \: scarves \: be \to \: s \\ then \to \\ 5h + 15s = 180.....(eq .1) \\ 110h + 150s = 2,520.....(eq .2) \\ from \: .....(eq .1) \\ 15s = 180 - 5h \\ s = \frac{180 - 5h}{15} .....(eq .3) \\ equating \: .....(eq .3) \: in \: .....(eq .2) \\ 110h + 150( \frac{180 - 5h}{15} ) = 2,520 \\ 110h + 10(180 - 5h) = 2,520 \\ 110h + 1800 - 50h= 2,520 \\ 60h = 2520 - 1800 \\ 60h = 720 \\ \boxed{h = 12} \\ applying \: \boxed{h} \: in \: .....(eq .3) \\ s = \frac{180 - 5(h)}{15} \\ \\ s = \frac{180 - 5(12)}{15} \\ \\ s = \frac{120}{15} \\ \boxed{ s = 8}[/tex]

♨Rage♨

PLEASE HELP!! PLEASE GIVE EXPLANATION!

Answers

As the months increase the money decrease
As time increases, the amount of money increases as shown by when x increases, so does y.

For part B, there is an increase of 45 dollars in the account per month.

You can find this value by calculating the change in y over the change in x. For example:

(557-467)/(8-6)

Evaluate the parenthesis and simplify:
90/2 = 45 dollars per month

Whats the volume of 12yd 15yd and 12yds?

Answers

Answer:  2160 cubic yards

Step-by-step explanation:

12*12*15= 2160

If sin t = -8/17 and t is a quadrant III angle, find cot t

Answers

Answer:cot t = 1.875

[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t

⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]

but  t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]

=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]

Step-by-step explanation:

Please this urgent! I need your help in these questions, it would be very appreciated.

Answers

Answer:

3 is continous. 4 is discrete

Step-by-step explanation:

3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.

I might be dumb

16. Write the following in standard form
36505000
pls need ans. fast ​

Answers

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.

Answers

Answer: the answer is $456 and that is correct

Step-by-step explanation:

152×3= $456

Hal owns a printing company. Last Christmas, he charged $8 for a set of 25 greeting cards and $14 for a set of 50. a. Find two ordered pairs that represent the situation. (8,25) (14,50)

Answers

Answer:

(8, 25) and (14, 50)

Step-by-step explanation:

Total cost of a set of cards = price per unit x number of cards

                                             = p x n

Thus, the total cost of printing each set of cards depends on the price per unit and number of cards. So that it can be represented in ordered pair as: (p, n).

For the first set of greeting cards,

the cost of printing a card = $8.0

number of cards printed = 25

This can be represented in ordered pair as (8, 25)

                                                 

For the second set of greeting cards,

the cost of printing a card = $14.0

number of cards printed = 50

This can be represented in ordered pair as (14, 50)

Thus, the two ordered pairs that can represent the situations are (8, 25) and (14, 50).

WILL MARK BRAINLYIST IF YOU ANSWER CORRECTLY!!!!!! As water evaporates from a potted plant, its weight changes at a rate of -1 5/8ounces per day. Part A Estimate the change in the potted plant’s weight after one week. Explain your thinking. Part B Write and solve an equation using exact values to show the change in the plant’s weight after one week. Part C Explain how your estimate shows your answer is reasonable.

Answers

For part A it would be 11 3/8 ( I did the math fam ) for part b it would be y = 1 5/8x, you just substitute the x for 7 and you’d get the answer from part a, For part C you would just say that you multiplied the 1 5/8 rate by 7 to get the total amount of weight lost within that week

Now I’ll take that brainliest fam, lmk if it was right

what is the vertical change from point A to point B ?

What is the horizontal change to point A to point B?

Answers

Answer:

Vertical change= 1

Horizontal change= 2

Rate of change=  1/2

Step-by-step explanation:

The vertical change is how many units you go up on the triangle and the horizontal change is how many units you go left or right on the triangle. The rate of change is the vertical change over the horizontal change. So that is why 1/2 is the rate of change. Have a great day!

Answer:

4

Step-by-step explanation:

2/3 of a class are girls what is ratio girls to boys in the class

Answers

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product

(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50

Answers

Answer:

Exponent tells the number of times the base is used as a(n) power.

50 is a(n) multiple of 10 because 5 × 10 = 50

Step-by-step explanation:

Easy and please choose mine was the most helpful. I want to get Brainliest.

Answer:

(n)_exponent_tells the number of times the base is used as a(n)_power_.

50 is a(n)__multiple_of 10 because 5 × 10 = 50

Step-by-step explanation:

exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.

multiple: A Multiple of a number is that number times any whole number.

power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.

HELP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O -3
O -3/4
O 3/4
O None of the above

Answers

None of the above
It is -4/3

Answer:

none of the above

Step-by-step explanation:

the slope is: rise/run which equals y/x which equals -4/3

Find the distance between E(5,3) and F(-4,3).

Answers

Answer:

Ok I also fo not know but shall shall come to silicon valley of US So you can remember all thinks about this and tricks

Are the lines shown below parallel? Explain

Answers

Answer:

C. No, the slopes are not the same

Which store offers the best store
Store X:4 cans for $2.38
Store Y:5 cans for $3.00
Store Z:59 cents per can

Answers

Answer:

Store Z

Step-by-step explanation:

1 - Find out what the price per can is at each store

Store X

4 cans for $2.38

2.38price/4can(s) = price per can

Store x is $0.598/can

Store Y

5 cans for 3.00

$3.00/5

$0.60/can

Comparing these to store Z; store Z is still the better deal.

Hope this helps :)

Will mark brainliest

Answers

2.21 is the answer :-/

witch is grater 18/24 or 55%

Answers

Answer:

i would say 18/24

Step-by-step explanation:

Hurryyyy
Which system of linear inequalities is graphed?

Answers

Answer:

y ≥ 3x-1

x+3y ≤ 6

Step-by-step explanation:

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?

Answers

Answer:

9

Step-by-step explanation: 3x4= 12  -3=9

Answer:

what's nelly's age

Step-by-step explanation:

4x divided by 3?

You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.

Answers

Answer: $4,000

Step-by-step explanation:

If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.

Hope this answer helps! :)

Other Questions
Read the excerpt from the essay "The Work You Do, the Person You Are" by Toni Morrison. The pleasure of being necessary to my parents was profound. I was not like the children in folktales: burdensome mouths to feed, nuisances to be corrected, problems so severe that they were abandoned to the forest. I had a status that doing routine chores in my house did not provideand it earned me a slow smile, an approving nod from an adult. Confirmations that I was adultlike, not childlike. Which choice BEST summarizes the ideas in the excerpt?A. The author reflects upon the frustration she felt and the burden of doing work as a child.B. The author seeks to compare the differences between children in earlier times and today's children.C. The author explores how adults cater to children who do not work versus children who do work.D. The author takes pride in distinguishing herself from children who do not work or contribute to the family. What does Cmo? mean in Spanish? 12. When the frequency of a wave increases, what happens to the wavelength?A. The wavelength is not directly affected by the frequency of a waveB. The wavelength increasesC. The wavelength decreasesD. More specific information is needed to form a conclusion Which statement is true regarding the functions on thegraph?f(2) = g(2)f(0) = g(0)f(2) = g(0)f(0) = g(2) How does a daffodil population benefit from reproducing sexually instead of asexually? Read the paragraph.During the week, Nala keeps her room neat and tidy. She makes her bed, puts her clothes away, and straightens things up as part of her daily routine. On weekends though, it is a different story. By Sunday evening, her room is a disaster zone. Her softball uniform, gym bag, and dance shoes may be strewn across the floor because she rushes from one activity to the next. Sleeping bags from slumber parties, art supplies, and books may be found draped across furniture and clumped in corners. Sometimes, it is hard to even enter the room! Nala and her parents came to an agreement about keeping her room clean. As long as she has her room back in perfect order by bedtime on Sundays, she could take Saturdays off.What is the meaning of the metaphor in the paragraph?A) Nala and her parents believe that weekends should be spent relaxing.B) Nala enjoys a variety of fun activities on the weekends.C) On weekends, Nala makes an astounding mess of her room.D) Because weekends are so busy, Nala spends little time in her room. Who is the founder of Mission San Francisco de los Tejas? The point P(x,y) lies in the terminal side of an angle theta= -60 in standard position. What are the signs of the values of x and y? Enter the range of values for x: Which of these ions has the correct charge?O2-B2+P2-Li2+ when weighing your employment options consider From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate? Find the pH of the equivalence point and the volume(ml) of 0.125M HCl needed to reach the point in titrations of: a) 65.5ml of 0.234M NH3.b) 21.8 mL of 1.11 M CH3NH2. PLEASE HELPPPP Conservationists often work to support the health of animalspecies and protect them from threats. Why might it beimportant for conservationists to understand the environmentalconditions and ecosystems at different points along a migratingbird's path? Use evidence from both the text and video to supportyour answer. Put the following cell types in the order they would be found starting from the outer region of a seminiferoustubule.Secondary spermatocyteSpermatogonium Please help me Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:Step 1: [($32.75 2) + $70.99 $12.25] 1 over 4Step 2: [$65.5 + $70.99 $12.25] 1 over 4Step 3: $136.49 $3.0625 = $133.4275In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error. -5/4c - 1/2 = -3/4 + 5/8c Plz Help! Will Name Brainliest!! The relationship between environmental degradation and disability Do you think the cartoonist believes that Andrew Carnegie is a hero? Explain.