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
REY [17]
3 years ago
7

Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. Af

ter 3 hours the cars are 345 miles apart. How fast is the southbound car traveling?
a.
60 mph
b.
65 mph
c.
70 mph
d.
75 mph
Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

For this case we have:

We define the following variable

x : Speed of the car in South direction

By definition, we know that:

Distance = Speed * Time

For the car in north direction:

D1 = V1 * T1\\D1 = 50mph * 3h\\D1 = 150 miles

For the car in south direction:

D2 = V2 * T2\\D2 = x * 3\\D2 = 3x

The distance between both cars, after 3 hours, is:

D = D1 + D2

So, we have:

345 = 150 + 3x

Clearing x;

3x = 345-150\\3x = 195\\x = 65

Thus, the speed of the car in the south direction is x = 65mph

Answer:

Option B


You might be interested in
Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit
olga2289 [7]

Answer:  

The Original Number is 36 :)

explanation:

4 0
3 years ago
Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula
statuscvo [17]

Answer:

x=0.75 \pm 2.47067i

Step-by-step explanation:

Quadratic Formula: x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}

x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}

x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}

x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}

x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}

x=\frac{4.5 \pm i14.824 }{6}

x=0.75 \pm 2.47067i

7 0
3 years ago
Name a rational number between the two given numbers? 7/11ths and 4/7ths explain how you know​
Alex_Xolod [135]

Answer:

basically u have to beble gep

Step-by-step explanation:

art

4 0
3 years ago
Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of $1,400 o
IRISSAK [1]

Answer:

c $99,400

Step-by-step explanation:

$195,00-$120,000=$75,000

$75,000+$5,000+$1,400=81,400

$81,400+$38,000-$20,000=$99,400

3 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
natima [27]

Answer: <

im sorry if this is wrong im not entirely sure :(

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which is greater 2/5 or 3/10
    10·2 answers
  • Dion’s grandmother is making a quilt using four small squares put together to form one large square block. How many different bl
    10·1 answer
  • A line goes through the point (6,–2) and has a slope of –3.
    13·2 answers
  • Based on her recipe, Elena knows that 5 servings of granola have 1,750
    14·1 answer
  • Why were members of the Third Estate frustrated with the French government?
    13·1 answer
  • Can somebody help me pleasse?
    5·2 answers
  • Nathan packs 25 boxes in 2 hours. How many boxes can he pack in his 8-hour shift? 5) 13 candy bars weigh 26 ounces. What is the
    8·2 answers
  • What is 15 % of 80 in a box
    5·1 answer
  • The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by t
    13·1 answer
  • A pair of equations is shown below:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!