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
ValentinkaMS [17]
3 years ago
10

23. A tour bus averaged 50 miles per hours

Mathematics
2 answers:
andrew11 [14]3 years ago
5 0

Answer:

225 miles

Step-by-step explanation:

Given that a tour bus averaged 50 miles per hours  between two cities on the first leg of  a trip and 45 miles per hour on the  return trip.

Let the distance be x.  Then we get time taken for to trip would be

\frac{distance}{time} = hours

For return trip time taken = \frac{x}{45}

The difference in time is 1 hour

\frac{x}{45}-\frac{x}{50}=1\\\frac{10x-9x}{450} =1\\x=450

Hence answer is 450 miles

Verify:

Going time=\frac{450}{50} =9 hrs

Return time = \frac{450}{45} =10 hrs

i.e. 1 hour more verified

olya-2409 [2.1K]3 years ago
3 0

Answer:

The distance between the cities is 50*4.5 = 225 miles.

Step-by-step explanation:

Let "t" be the time spent on the first leg at the average speed of 50 miles per hour.

Then (t+0.5) is the time spent on the returning trip at the average speed of 45 miles per hour.

Since the distance is the same in both directions, you have an equation

50*t = 45*(t+0.5).

Simplify and solve it for "t".

50t = 45t + 22.5,

5t = 22.5

Divide both sides by 5

t = 22.5/5

= 4.5.

Thus we found the time spent at the speed 50 mph. It is 4.5 hours.

Thus the distance between the cities is 50*4.5 = 225 miles

You might be interested in
How do you get 7:46
Flauer [41]

Answer:8:26

Step-by-step explanation:you subtract what time it is by 1:34 then take away 60 for a hour and add it to a hour so taking 60 mins gives you a hour

6 0
3 years ago
Determine whether the statement describes a descriptive or inferential statistic. A survey of 3459 people revealed that 52% work
andriy [413]

Answer:

Inferential statistics.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement describes a descriptive or inferential statistic.

Statement: A survey of 3459 people revealed that 52% work a full-time job; therefore it can be assumed that 52% of the U.S. population works a full-time job.

We know that descriptive statistics represents the description about population using the data through numerical calculations, graphs or tables. While inferential statistics makes predictions about a population based on a sample of data taken from the population.

Since our statement gives the prediction about people, who work full-time in U.S. based on a survey of 3459 U.S. citizens, therefore, the given statement is inferential statistic.

7 0
3 years ago
Consider the null hypothesis, H0: µ = 4,000, at the 1% level of significance. If the z-test statistic is calculated to be 6.00,
kow [346]

Answer:

Option B) Reject null hypothesis      

Step-by-step explanation:

We are given the following in the question:

We are given the null hypothesis:

H_0 = 4,000

\alpha = 0.01

z_{stat} = 6.00

Two tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = \pm 2.58

Since,  

The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.

Left-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = -2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

Right-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = 2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

7 0
3 years ago
Solve 3x2 + 4x + 2 = 0 by using the Quadratic Formula. If necessary, round to the nearest hundredth.
viva [34]

Answer:

Step-by-step explanation:

For this equation: a=3, b=4, c=2

3x2+4x+2=0

Step 1: Use quadratic formula with a=3, b=4, c=2.

x= −b±√b2−4ac / 2a

x= −(4)±√(4)2−4(3)(2)  /  2(3)

x= −4±√−8  /  6

Answer:

No real solutions.

7 0
3 years ago
Brendan earns 25% more than his regular hourly rate d when he works on holidays. Write an expression to represent the hourly rat
Tanya [424]

Answer:

The expression that represents hourly rate Brendan earns working on a holiday is 1.25d.

Step-by-step explanation:

Given:

Regular hourly rate = d

Percent extra Money earned on holidays = 25% more

We need to find expression represent the hourly rate Brendan earns working on a holiday.

Solution:

Extra money earned on holidays can be calculated by Percent extra Money earned on holidays multiplied by Regular hourly rate.

framing in equation form we get;

Extra money earned on holidays = \frac{25}{100}d=0.25d

Now we will find hourly rate Brendan earns working on a holiday.

hourly rate Brendan earns working on a holiday can be calculated by sum of Regular hourly rate plus Extra money earned on holidays.

framing in equation form we get;

hourly rate Brendan earns working on a holiday = d+0.25d=d(1+0.25) =1.25d

Hence The expression that represents hourly rate Brendan earns working on a holiday is 1.25d.

4 0
3 years ago
Other questions:
  • What is 10097×34565632
    12·2 answers
  • What is the slope of a line containing the points (12, 6) and (3, -5)?
    7·1 answer
  • I had problem in these questions. Can anyone help me please?
    10·1 answer
  • Classify the triangle as acute, obtuse, or right. The measurements are 16, 18, 26
    7·2 answers
  • Please help me out! And please show your work!!<br> |<br> |<br> |<br> v
    7·2 answers
  • Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
    9·1 answer
  • Somebody help please
    5·2 answers
  • Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie h
    11·1 answer
  • Jill and Kyle get paid per project. Jill is paid a project fee of $45 plus $10 per hour. Kyle is paid a project fee of $20 plus
    7·2 answers
  • 8,4,6,2 witch is not an composite number
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!