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
I'm really confused with this how do you answer this y=4 on a graph
Vilka [71]
Y = 4
y intercept is 4
The line would be horizontal and it would intersect the y axis at the point (0,4)

4 0
3 years ago
PLEASE DO NOT STEAL POINTS A cement mason starts making concrete by mixing 212 pounds of sand to 314 pounds of gravel. The mason
morpeh [17]
I think the answer is B I’m really sorry if I’m wrong I truly tried!!!
5 0
3 years ago
Read 2 more answers
Six more than 1/5 a number is 12. What is the number
suter [353]

Answer:

Step-by-step explanation:

let x be the number

6+1/5x=12

1/5x=12-6

1/5x=6

x=5*6

x=30

check: 6+(1/5*30)=6+6=12

8 0
3 years ago
Jerry has 6 candys he lost 2 how much does he have?
Aleksandr-060686 [28]

Answer:

Hello there!

Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.

Therefore, Jerry only has 4 candies.

Hope this helps!!!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In the equation 5 + 3x - 7 = 10, what are the like terms?
WITCHER [35]

Answer:

5 , -7 , 10

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Write the equation in standard form. Then factor the left side of the equation. 2x^2 + 7x = 15
    15·1 answer
  • The typical flight of stairs has 12 steps. Billy is on a new fitness regimen that requires him to climb at least 300 steps each
    10·2 answers
  • Which of the following statement is true about k-NN algorithm?
    6·1 answer
  • When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer
    5·2 answers
  • I need help ASAP. Offering 30 points
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Chuge%20%7B%5Cstar%20%20%5C%3A%20%20%5C%3A%20%20%20%20%5Cunderline%7B%5Cmathcal%7Bquestio
    10·2 answers
  • Help me please oh and show your work (step by step) please!!
    9·2 answers
  • What is the gcmf of 5x^2-10x^2<br>100 points​
    12·2 answers
  • Can somebody help me find x?<br> x =<br><br> a.7<br> b.4<br> c.9
    15·2 answers
  • Problem #5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!