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
arsen [322]
3 years ago
14

A salesperson is driving from the office to a client, a distance of about 250 kilometers. After 45 minutes, the salesperson pass

es a town that is 50 kilometers from the office. Assuming the salesperson continues at the same constant speed, how long will it take to drive from the office to the client?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
<span> <span>Speed is calculated as distance covered, divided by the time taken to cover that distance. In this case, the sales person covered 50KM in 45minutes (which can also be expressed as 3/4 hours). To calculate the speed he used to cover this distance, we divide the distance covered by the time taken. So 50km/3/4hours. This gives us 66.67km/hr. In order to calculate the amount of time the salesperson used to travel from the office to the sales person, we calculate as follows 250km/66.67km/hr. This gives us a total of 3.75 hours or 3 hours 45 minutes.</span></span>
You might be interested in
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.
mote1985 [20]

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260    This equation shows the numbers of books

a + b = 8                  This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b    New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

Substitute "a" for 8 - b

20a + 40b = 260

20(8 - b) + 40b = 260     Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260    Collect like terms (numbers with same variables)

160 + 20b = 260    Start isolating "b". Subtract 160 from both sides

20b = 260 - 160

20b = 100    Divide both sides by 20

b = 5    Number of large boxes

Substitute "b" for 5 in the simplest equation

a + b = 8

a + 5 = 8      Subtract 5 from both sides to isolate "a"

a = 8 - 5    

a = 3      Number of small boxes

Therefore there were 5 large boxes and 3 small boxes sent.

3 0
3 years ago
There are 180 dogs. If 35% of them are huskies, how many huskies are there? *<br> Your answer
raketka [301]

Answer:

The answer is: 63

Step-by-step explanation:

Divide 180 by 35% to find how many are huskies

and its 63.

Check on calculator to make sure: 180 ÷ 35% = 63

3 0
3 years ago
The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9.
ki77a [65]

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

7 0
4 years ago
HELP!! I only need the answer. Thank you!
zvonat [6]
The answer would be 6 3/8

Hope this helps c:
5 0
3 years ago
I got a screenshot, You got answer
liq [111]

Answer:

A. V = (pi)(3.25)^2(12)

Step-by-step explanation:

The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

A = (pi)(r)^2

Multiply that by the height to find the formula for the volume of a cylinder,

V=(pi)(r)^2(h)

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)

3 0
3 years ago
Other questions:
  • Smaller angle please
    12·2 answers
  • Can someone help me with this? its a relatively simple problem for extra credit in algebra 1.
    14·1 answer
  • 7x-8(-2x+9)=112 <br> What is x
    11·2 answers
  • The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0
    13·1 answer
  • What is ​ 4 9/10 ​ expressed as a decimal? Enter your answer in the box.
    9·1 answer
  • A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(
    9·1 answer
  • Given that f(x) = 6x + 2 and g(x) =<br> 2x + 4<br> 5<br> solve for g(f(1)).<br> 1<br> 03<br> 4<br> 8
    11·1 answer
  • 8) Does the table show a function? *
    14·2 answers
  • 23.5 + - (-62.74) = ​
    5·2 answers
  • 6. On Saturday, you bowl at Mar Vista Bowl, where renting shoes
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!