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
9. A triangle is dilated using a scale factor of 4. The image is then dilated
dimulka [17.4K]

Answer:

4-3=1

Step-by-step explanation:

it was dilated by 1

dunno what this was really  askin tho

8 0
3 years ago
Solve for the value of z.
Yuki888 [10]

z=18

3z+4+2z-4+90=180

5z+4-4+90=180

5z+90=180

5z=90

z=18

4 0
3 years ago
Marcus is running a science experiment in which he measures the rate at which bacteria multiply. Every 15 seconds the bacteria d
lesantik [10]

Answer:

C. 20480

Step-by-step explanation:

so the equation is (60x3) divided by 15 because there are 3 minutes and 60 seconds in each minute and the bacteria doubles every 15 seconds so when you get your answer (12) that is how many times you will double 5.

6 0
3 years ago
4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
There are 7/8 kilograms of salt in the kitchen. Mrs. Jackson used 2/15 of salt when preparing dinner . How much salt did she use
neonofarm [45]

so since Mrs Jackson used 2/15 of 7/8, the amount she used is simply their product.


\bf \stackrel{\textit{how much is }\frac{2}{15}\textit{ of }\frac{7}{8}?}{\cfrac{7}{8}\cdot \cfrac{2}{15}}\implies \cfrac{7}{15}\cdot \cfrac{2}{8}\implies \cfrac{7}{15}\cdot \cfrac{1}{4}\implies \cfrac{7}{60}

8 0
3 years ago
Other questions:
  • Which of the following is a perfect square? <br> A 169 <br> B 279 <br> C 154 <br> D 115
    6·2 answers
  • Jayla has a USB stick that transfers data at 2.4 x 10^9 bytes per second. Her modem transfers data at 1.2 x 10^7 bytes per secon
    9·2 answers
  • Someone vibe with me&lt;3 (look at comments)
    10·1 answer
  • Four houses in a row are each to be painted with one of the colors red, blue, green, and yellow. In how many different ways can
    11·1 answer
  • I will give brainliest to first CORRECT answer!
    15·2 answers
  • Which statement about the points (5, 7) and (10, 12) is true?
    9·1 answer
  • What is the value of the first term in the following arithmetic sequence?
    13·1 answer
  • Solve: (8-u)-(5u+1) with steps
    12·1 answer
  • Find the measurement indicated. ​
    13·1 answer
  • What is the solution to the system of linear equations graphed below?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!