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
Zolol [24]
3 years ago
14

Two cars leave the same location at the same time but one car is heading north and the other is heading south. After 3 hours, th

e cars are 360 miles apart. If the car heading north is traveling 10 miles per hour slower than the car heading south, what are the two speeds of the cars?
SHOW THE EQUATION
Mathematics
2 answers:
Oxana [17]3 years ago
6 0
d=vt
360=(v_{s})(3)+(v_{n})(3)
360=(v_{s})(3)+((v_{s}-10)(3)
360=3v_{s}+3v_{s}-30
390=6v_{s}
v_{s}=\frac{390}{6}=65
v_{n}=v_{s}-10=65-10=55

The south car is traveling at 65mph. The north car is traveling at 55mph. 
Nadya [2.5K]3 years ago
4 0

3x +3(x-10) = 360

3x +3x-30 =360

6x-30 =360

6x=390

X = 390/6 = 65

65-10 =55

<span> One car was driving 65 mph</span>

<span> The other was 55 mph</span>


You might be interested in
Given bc=4 cd=11 and bd=10 list angles of triangle bcd least to greatest
Nataly_w [17]
\bar{B}\bar{C}, \bar{B}\bar{D}, \bar{C}\bar{D}
4, 10, 11
4 0
3 years ago
Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr
Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

x = \frac{-b +- R }{2*a}

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

x = \frac{-b +- C*i }{2*a}

We have two complex solutions.

If D = 0

√0 = 0

then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

3 0
3 years ago
What is -18 + (-45) + 12
qaws [65]
The answer is -51, hope this helps
5 0
3 years ago
Read 2 more answers
The price of an iPad Air is initially $500. iPads owned by a college student depreciate at a rate of 3% per
34kurt
Waddawadda waddawadda
5 0
3 years ago
Which value of h make the equation true?<br> 2.3 + h = 7.8
Nat2105 [25]

Answer:

h = 5.5

Step-by-step explanation:

2.3 + h = 7.8

-2.3         -2.3

  h = 5. 5

3 0
2 years ago
Other questions:
  • Given y=15x+4, write the equation of the line perpendicular to the given line that contains point (-2, 3). (10 points)
    11·1 answer
  • At a fruit stand, for every 5 apples sold there are 4 oranges sold. What is the ratio of oranges sold to apples sold?
    10·2 answers
  • Elijah has $0.55 worth of pennies and nickels. He has twice as many nickels as pennies. Determine the number of pennies and the
    6·1 answer
  • Store has a price of $99 on an mp3 player. Store 2 is offering the same mp3 player at a sale price of 25% off their regular pric
    6·1 answer
  • How many one-degree angles are in a 70° angle?​
    6·2 answers
  • A one-night stay at the Great Wolf Lodge is
    14·1 answer
  • Answer please. Need help I'm giving a follow, a thanks, and a brainliest.
    13·2 answers
  • Help me plz ASAP<br> A.2<br> B.1/2<br> C.2/3<br> D.3/2
    11·1 answer
  • What fraction do you get when you divide 5 by 6?
    9·1 answer
  • Andy wants to find the distance across a river. In
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!