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
zhenek [66]
3 years ago
11

A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was t

he distance the person drove?
Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

Let the time traveled by the slower car = t+4

Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4)           Remove the brackets.

48t = 36t + 144          Subtract 36t from both sides.

48t - 36t = 144           Combine

12t = 144                     Divide by 12

t = 144/12

t = 12

Therefore the faster car takes 12 hours to get where it is going.

d = 48 * t

d = 48 * 12

d = 576

You might be interested in
The totals of the rows and colums of a two way table are called marginal distributions. true or fasle​
Furkat [3]

Answer:

False

Step-by-step explanation:

The totals of the rows and columns of a two way table are not called marginal distributions. They are called conditional distributions.

4 0
2 years ago
According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the populati
Ghella [55]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: number of daily text messages a high school girl sends.

This variable has a population standard deviation of 20 text messages.

A sample of 50 high school girls is taken.

The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:

X[bar]≈N(μ;δ²/n)

This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:

Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)

a.

P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836

b.

P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)

P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328

I hope you have a SUPER day!

3 0
2 years ago
Find FG. The diagram is not to scale.
soldier1979 [14.2K]
FG = FE
3n - 4 = n + 8
2n = 12
  n = 6

FG = 3(6) - 4
FG = 18 - 4
FG = 14

answer
14
7 0
2 years ago
Read 2 more answers
Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 3x3/4 and 6x4/5
likoan [24]
2.25 and 4.8 =10.8

Hope this helps!
4 0
3 years ago
Read 2 more answers
Determine the value of (2^3)^2.
xz_007 [3.2K]
2^6 is the answer. Multiply the rules because it’s a rule
5 0
3 years ago
Read 2 more answers
Other questions:
  • Element X decays radioactively with a half-life of 14 minutes if there are 680 grams of element X how long to the nearest 10th o
    10·1 answer
  • How much should i charge for head
    5·1 answer
  • Which of the following expressions is equivalent to 3x + 3x + 5 + 5?
    9·2 answers
  • David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
    6·3 answers
  • Naomi has a neon tetra fish and a guinea pig. The fish is 25 milliliters long. The guinea pig is 25 centimeters long. What is th
    5·1 answer
  • What is the measure of ABC?
    10·1 answer
  • Mark has a container that looks like a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. what
    5·2 answers
  • I need help please !
    15·2 answers
  • What kind of sequence has a common difference?
    9·2 answers
  • Solve the simultaneous equations<br> y=2-5x<br> y = x² – 2x – 8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!