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
andrew11 [14]
3 years ago
11

Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is -20t+

45, where t is number of hours he has been traveling. What is his speed in miles per hour?
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

Speed  = 20 mi/h

Explanation:

There are two points A and B

Distance between both the points are define with function -20t + 45 miles

where t represent the number of hours of travelling.

Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.

At t=0;

d₀ = -20(0) + 45 = 0 + 45 = 45 miles

Now we find the distance travell after starting first hour.

Than we put t = 1 in the given function

At t = 1;

d₁ = -20(1) + 45 = -20 + 45 = 25 miles

Difference between d₁ & d₀ is

45 - 25 = 20 miles

We see that in one hour, total distace is covered 20 miles

Now we use time, speed, distance relation

Speed = distance/time

Speed= \frac{20}{1}

Speed = 20 miles/hour

That's the final answer.

I hope it will help you.

You might be interested in
Solve for z? 2x-4y+4z-6w=4 6w-4x+4y-4z=-12 6w+4x-2y+6z=64 4z+2w+6y-4x=56
NikAS [45]

Answer:

z ≈ 9.22

Step-by-step explanation:

Given the equations

2x-4y+4z-6w=4 ................ 1

6w-4x+4y-4z=-12 ...............2

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

We will first need to reduce the equation by cancelling out some variables.

Add equations 1 and 2 will give;

(2x-4x)+(-4y+4y)+(4z-4z)+ (-6w+6w) = 4+12

-2x +0 = 16

-2x = 16

x = -8

Also, equation 2 minus 3

6w-6w+(-4x-4x)+4y+2y+(-4z-6z) = 12-64

-8x+6y-10z = -52

-8(-8)+6y-10z = -52

64+6y-10z = -52

6y-10z  = -52-64

6y-10z = -116

3y-5z = -58 ... 5

Equation 3 * 1 and eqn 4 * 3

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

6w+4x-2y+6z=64

12z+6w+18y-12x= 168

Subtracting both equations;

16x-20y-6z = -104

8x-10y-3z = -52

8(-8)-10y-3z = -52

-64-10y-3z = -52

-10y-3z = -52+64

-10y-3z = 12 ....... 6

equating 5 and 6 and solving simultaneously;

3y-5z = -58 ... 5 * 10

-10y-3z = 12 ....... 6 * 3

30y-50z = -580

-30y-9z = 36

Add both equations

-50z-9z = -580+36

-59z = -544

z = -544/-59

z = 9.22

Hence z ≈ 9.22

4 0
3 years ago
What is the largest 2 digit term in the sequnce 0,3,8​
kobusy [5.1K]

Answer:15

Step-by-step explanation:

5 0
2 years ago
There are 3 times as many males as females on the maths course at university. What fraction of the course are female?
inysia [295]

Answer:

1/4

Step-by-step explanation:

Males: 3 units

Females: 1 unit

Total: 4 units

Females/Total: 1/4

5 0
3 years ago
What is expanded form?
SashulF [63]

Answer:

Expanded Form. When we write the number 521, what that number really means is that we have the total of 500 + 20 + 1. We've expanded the number to show the value of each of its digits. When we expand a number to show the value of each digit, we're writing that number in expanded form.



4 0
3 years ago
A swimming pool is 12 metres long. how many metres would you swim if you swam 8 lengths. ​
kati45 [8]

Answer:

96m

Step-by-step explanation:

12m * 8 = 96m

unless lengths are counted as to one side and back then it would be double 96

4 0
3 years ago
Read 2 more answers
Other questions:
  • Someone help me!! Pls
    8·1 answer
  • When concentrations of formaldehyde in the air exceed 33 mu g divided by ft cubed μg/ft3 left parenthesis 1 mu g equals 1 microg
    14·1 answer
  • CD is the perpendicular bisector of both XY and ST, and CY=20. Find SX.
    14·2 answers
  • Jana is ordering a list of numbers from least to greatest.
    5·2 answers
  • When angles complementary,the sum of their mesures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x
    8·1 answer
  • What is the common denominator for 14/25 and 10/21
    6·1 answer
  • A newspaper publisher wants to check its daily output of about 300,000 newspapers to be sure each includes a comics section. Exp
    11·2 answers
  • What property is -23 x 1 = -23
    9·1 answer
  • I wanna leave this stupid earth <br><br> people are such bi t ch es
    5·2 answers
  • What is the solution set for - 6x - 14 ≤ 4?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!