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
Leni [432]
3 years ago
12

Using drt what is the Answer to this question a car in a bus set out at 2 PM find the same point headed in the same direction. T

he average speed of the car is 30 mph slower than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer: the rate of the car is 50mph

Step-by-step explanation:

Let x represent the average speed of the bus.

Let y represent the distance travelled by the bus.

The average speed of the car is 30 mph slower than twice the speed of the bus. This means that the average speed of the car would be

2x - 30

Distance = speed × time

Time = distance/speed

Therefore, In 2 hours time,

2 = y/x

2x = y

In two hours the car is 20 miles ahead of the bus. Therefore

2 = (y + 20)/(2x - 30)

2(2x - 30) = y + 20

4x - 60 = y + 20 - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes

4x - 60 = 2x + 20

4x - 2x = 20 + 60

2x = 80

x = 80/2 = 40

The speed of the car would be

2x - 30 = 2 × 40 - 30

= 80 - 30 = 50 mph

You might be interested in
WILL GIVE BRAINLIEST!! A ramp is 12 inches high and rises with a 17° angle. How long is the base?
Blababa [14]
X=3.93 in. 
hope this helps you ♥
6 0
3 years ago
On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on th
Anestetic [448]

Answer:

uwuu

Step-by-step explanation:

ok the reason y iput uwu because uwu

4 0
2 years ago
Read 2 more answers
I NEED HELP PLEASEE
xenn [34]

\bf \cfrac{1+cot^2(\theta )}{1+csc(\theta )}=\cfrac{1}{sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\implies \cfrac{1+\frac{cos^2(\theta )}{sin^2(\theta )}}{1+\frac{1}{sin(\theta )}}\implies \cfrac{~~\frac{sin^2(\theta )+cos^2(\theta )}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}\implies \cfrac{~~\frac{1}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}

\bf \cfrac{1}{\underset{sin(\theta )}{~~\begin{matrix} sin^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}\cdot \cfrac{~~\begin{matrix} sin(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{sin(\theta )+1}\implies \cfrac{1}{sin^2(\theta )+sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\ne \cfrac{1}{sin(\theta )}~\hfill

5 0
3 years ago
I'll give brainliest to whoever answers first CORRECTLY.
Semenov [28]

Answer:

I cant see the numbers clearly

Step-by-step explanation:

7 0
2 years ago
Given that the employed adult is male, what is the probability that he felt tense or stressed out at work
SVETLANKA909090 [29]
In the study the total number of males was 739 and the total number of all employees was 1501. The men who felt stressed or tensed out  during work were 244 and those that never felt stressed out were 495.
 Assuming that, A= Employed adults was male and B= Employed adult felt tense or stress out at work.
Then , P(A/B) = P(A∩B)/ P(B) 
P(B) is the probability of having a male.
 P(B) = 739/1501
P(A∩B) is the probability of a man being stressed or tensed out at work.
   and P(A∩B) = 244/ 1501
Hence, P(A/B) =(244/1501)/ (739/1501)
                        = 244/739
                         =  0.3302.
Thus, the probability that the employed work felt tense or stress at work given that the employed employee was male is 0.3302
3 0
3 years ago
Other questions:
  • If the measures of two angles of a triangle are 92degrees and 22degrees​, what is the measure of the third​ angle?
    13·1 answer
  • Which ordered pair is a solution of the equation y=x-4
    13·2 answers
  • Please help thanks!
    9·1 answer
  • What is the area of the shaded portion in the parallelogram below?<br>​
    14·1 answer
  • Please help me.!.!.!.!.!.
    5·2 answers
  • The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . The va
    12·2 answers
  • The sum of eight and a number, x, is three.
    5·1 answer
  • Find cosine of angle a ​
    11·1 answer
  • Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she n
    7·1 answer
  • How man times can 2 go intp 9
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!