1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirill115 [55]
2 years ago
15

Help :( explain the meaning of -500 in context to the problem,

Mathematics
2 answers:
Nadya [2.5K]2 years ago
6 0

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

  • <u>The -500 is the rate at which the distance of the plane from Ecuador changes every hour</u>.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that <em>d</em> is in miles and <em>t</em> is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

Learn more rate of change here:

brainly.com/question/1388646

LuckyWell [14K]2 years ago
3 0

We can  analice through a  dimensional evaluation, every term in any equation.

Solution is:

The term - 500 × t

represents, the quantity of miles travel in the time t

Looking carefully each term in the equation:

d = 2565 - 500×t

And knowing:

  • d, is distance in miles
  • t, is time in hours
  • The fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxes

We are able to answer the question.

Then in the expression

d = 2565 - 500×t

As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product  -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane),  and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.

For instance if t = 1 hour

d = 2565 miles - 500 (miles)/hour × 1 (hour)

As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).

For the whole trip

d = 2565 miles    then total fly time is:

2565 (miles)/ 500 (miles/hour)×t

To get .  t = 5.13 h

Related link:brainly.com/question/8956323

You might be interested in
Our skating club is going on a field trip. To cover the cost of the trip we are collecting \$8$8dollar sign, 8 from each of the
Wittaler [7]

The computation shows that the total amount or cost raised will be $250.

<h3>How to calculate the cost?</h3>

From the information given, it was stated that the skating club collected $8 from each of the nine members and had already raised $178.

Therefore, the total amount will be;

= $178 + ($8 × 9)

= $178 + $72

= $250

Therefore, the total amount raised will be $250.

Learn more about cost on:

brainly.com/question/25109150

7 0
2 years ago
tommy is making a birdhouse at a craft store he can choose 1 of 5 house styles 1 of 2 types of wood and 1of 8 paint colors how m
Daniel [21]

Multiply all of the numbers together: 5 x 2 x 8 = 10 x 8 = 80 ways

3 0
3 years ago
Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
blondinia [14]
Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11

Therefore, the integers are 11 and 12.

6 0
3 years ago
Math question, I appreciate ANY help! :)
pav-90 [236]
.......................................................................................

8 0
3 years ago
Miguel rode his bicycle 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bicycle 6 miles, how
Advocard [28]

The answer is 2 Miles


I did (6+4)÷5 to find the answer

7 0
3 years ago
Other questions:
  • 5(y–3.8)=4.7(y–4) help help
    6·1 answer
  • What is 2+1<br> please help me
    5·2 answers
  • Find the zeros of r(x) = 8x2 + 4x +5.
    10·1 answer
  • How do you sove 673 times 86?
    5·1 answer
  • Pam spelled 68 of 100 words correctly on the pretest how Many words dos the Miss? If she learns 8 of those each day how long wil
    6·1 answer
  • 15 points<br> I really need help with this and it’s due soon please help me and explain.
    12·2 answers
  • The width of a rectangular rug is 7 feet, and the length of its diagonal is 25 feet. What is the perimeter of the rug to the nea
    12·2 answers
  • Find the area of the triangle below!!!
    13·2 answers
  • Pls help I have to turn it in by Monday morning and it’s 1am or I fail
    9·2 answers
  • Question 1-2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!