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
Irina-Kira [14]
2 years ago
14

Two cars leave from a town at the same time traveling in opposite directions. One travels 5 mph faster than the other. In 3 hour

s, they are 267 miles apart. Find how fast each is traveling?
Mathematics
1 answer:
Doss [256]2 years ago
7 0

Let the slower cars speed equal X.

The faster cars speed would be X+5 ( 5 mph faster).


They traveled for 3 hours

Multiply the time of travel by speed to equal the number of miles traveled.

So you have:

3X + 3(X+5) = 267 miles

Simplify the left side:

3X + 3X+15 = 267

Combine like terms:

6x + 15 = 267

Subtract 15 from each side"

6x = 252

Divide each side by 6:

x = 252 / 6

X = 42


The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.




You might be interested in
The sum of a whole number and twice the square of the number is 10. Find the number.
sveticcg [70]

Answer:

x = \frac{10}{1 + 2x}

Step-by-step explanation:

Let the number be x

x + 2x² = 10

Factorize x + 2x²

x(1 + 2x) = 10

Divide both sides by (1 + 2x)

x = \frac{10}{1 + 2x}

6 0
3 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
lorasvet [3.4K]

Hello

just a second

people reading this please complete because you will help me a lot.

I am an Indian girl my name is Lamer and am 13 years old.

I Just got this new device after working at a farm for 2 years.

I used to use brainly at my friend device she had money to buy brainly plus.

I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.  

8 0
2 years ago
Help!!!
nordsb [41]

Answer:

1 1/5 per person.

Step-by-step explanation:

You have to evenly divide the 6 funnel cakes among 5 people, so the equation you have to use is division.

  5/6

= 1 1/5

6 0
2 years ago
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
2 years ago
The sum of two numbers is 31.The product of the two numbers is 150. What are the two numbers?
Nikolay [14]
The two numbers I will call x and y.
x + y = 31
x * y = 150

You then solve for one variable in either equation and substitute it into the other equation.

x + y = 31
x = 31 - y

Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0            Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0        y - 25 = 0
y = 6             y = 25

When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
5 0
3 years ago
Other questions:
  • What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4,
    12·1 answer
  • 1. Express the product of 2x2 + 7x – 10 and x + 5 in standard form.
    9·2 answers
  • What’s the slope for x+5=y
    7·1 answer
  • How can I solve 8 5/6 - 2 1/3=
    8·2 answers
  • Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
    9·1 answer
  • Patty is taking out a simple interest loan to buy her new $10,689 car. How much would she pay in interest if the rate is 4.5% an
    12·1 answer
  • Answers? Please helpppppop I don’t need number one only the rest
    6·1 answer
  • PLEASE HELP!!
    13·1 answer
  • Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and
    14·1 answer
  • 1.08 divided by 2.7 whats the answer
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!