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
hjlf
3 years ago
7

You start driving from Austin to Houston with a constant speed of 120km/hr (75 mph). After 1.5 hr you stop for 0.5 hr. Then you

continue driving with a new constant speed v2 and reach Houston 45 mins later. If the total distance from Austin to Houston is 265km, what is the speed v2?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

113.33 km/hr

Step-by-step explanation:

Given that :

From Austin

Drive 1 : Speed of 120km/hr for 1.5 hours

Stop time = 0.5 hour

Drive 2 : speed of v2 for 45 minutes to finally reach Houston

Total distance (Austin to Houston) = 265 km

Total distance : (distance on drive + distance on second drive)

Distance = speed * time

(120 * 1.5) + (v2 * 45/60) = 265

180 + 0.75v2 = 265

0.75v2 = 265 - 180

0.75v2 = 85

v2 = 85 / 0.75

v2 = 113.33km/hr

v2 = 85 / 0.75

v2 =

You might be interested in
The line plot represents how many trips 10 adults take to the gas station in a month. After 4 more adults are included in the da
ivanzaharov [21]

Answer:

Step-by-step explanation:it is the second option. :)

3 0
3 years ago
Read 2 more answers
Describe the nature of the roots for this equation
vitfil [10]

First, fint the roots of the equation 2x^2+5x-7=0.

1.

D=5^2-4\cdot 2\cdot (-7)=25+56=81,\\\sqrt{D}=\sqrt{81}=9,\\ \\x_1=\dfrac{-5-9}{2\cdot 2}=-\dfrac{14}{4}=-3.5,\\ \\x_2=\dfrac{-5+9}{2\cdot 2}=\dfrac{4}{4}=1.

2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.

5 0
3 years ago
4x-2y=7<br> -3x+3y=10<br> Find the point of intersection of the equations
garri49 [273]
4x-2y=7 (1)
-3x+3y=10 (2)
3y= 3x+10
y= x+10/3 (3)
sub (3) into (1)
4x-2(x+10/3)=7
4x-2x-20/3=7
2x-20/3=7
    +20/3  +20/3
2x= 41/3
x= (41/3) / 2
x= 41/6
sub x= 41/6 into (3)
y= 41/6+10/3
= 61/6

Therefore the point of intersection is (41/6, 61/6) 
4 0
3 years ago
Read 2 more answers
A factory makes 3,000 plastic forks per hour. How many plastic forks will the factory make in 6 hours?
yulyashka [42]

Answer:

18,000 forks

Step-by-step explanation:

They are making 3,000 forks each hour for 6 hours, so you would multiply 3,000 by 6. 3,000 multiplied by 6 is 18,000.

7 0
2 years ago
Read 2 more answers
Write the slope intercept form of the equation of the line through given points
Korolek [52]
Y=-8/3x+6
You subtract y's by y's over x's minus x's and then you have the slope which is (m) then you fill in one of the points and then add or subtract one of the sides to get the answer
3 0
3 years ago
Read 2 more answers
Other questions:
  • 4 bags of cement is used for 18m squared how many m squared can be done with 7 bags
    6·2 answers
  • What is 1/5 minus 1/6
    8·2 answers
  • Move one number to make the equation valid
    8·1 answer
  • Simplify and Explain Sum:<br> -7 + 9 - 3 * 6 -(5 + 9) ÷ 7
    12·1 answer
  • 4x-6y=-24 2x-3y=-6 graphed
    12·1 answer
  • The distance around a circle
    7·2 answers
  • PLS HELP ME I NEED HELP
    10·1 answer
  • The scatterplot below represents the number of hot drinks sold on a given
    6·1 answer
  • Please help me!!!!! In triangles ABC and LMN, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Is this information sufficient to prove triangles A
    10·1 answer
  • Which inequality represents all the values of x for y&lt;(or equal to)-6(x-18)-2 when y=46
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!