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amid [387]
2 years ago
13

Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long

does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.
Mathematics
1 answer:
serg [7]2 years ago
4 0

Answer:

8/3 hours

Step-by-step explanation:

Sloane drives for 2/3 hours to get grandmother's house

Inorder to arrive at her cousin's house she is required to drive 4 times longer

= 2/3 ×4

= 8/3 hours

Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.

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A 3.0-kg ball moving eastward at 4.0 m/s suddenly collides with and sticks to a 5.0-kg ball moving northward at 3.0 m/s. what is
vesna_86 [32]

Magnitude of the momentum of this system just after the collision = 19.2Kgm/s

<h3>What is law of conservation of momentum?</h3>

Law of conservation of momentum states that the total momentum after the collision must be equal to the total momentum before the collision.

The momentum of each ball is given by:

p = mv

where m is the mass of the ball and v its velocity.

The momentum of ball 1 is:

p = mv

= (3.0 kg)(4.0 m/s)

= 12.0 kg m/s in the eastward direction

The momentum of ball 2 is:

p = mv

= (5.0 kg)(3.0 m/s)

= 15.0 kg m/s in the northward direction

The two momenta are in perpendicular directions, so the magnitude of the total momentum can be found as:

p = \sqrt{p1^{2} +p2^{2} }

p = \sqrt{12^{2} +15^{2} }\\p = \sqrt{144 + 225} \\p = \sqrt{369}\\ p = 19.2 kgm/s

and due to the law of conservation of the momentum, this is also equal to the total momentum after the collision.

To learn more about law of conservation of momentum from the given link

brainly.com/question/12773641

#SPJ4

6 0
1 year ago
A map has a scale of 1 in: 10 mi. On the map, the distance between two cities is 5 inches. What is the actual distance between t
Schach [20]
50 miles since 1 inch equals 10 miles and there's 5 inches that means 5x10=50
4 0
3 years ago
Selena is 6 years younger than Paul. In 15 years, Paul will be 4 times the age that Selena is now. Find their present ages.
s344n2d4d5 [400]

Answer:

<u>The ages of Paul and Selena are 13 and 7 years old.</u>

Step-by-step explanation:

Age of Paul = x

Age of Selena = x -6

Age of Paul and Selena in 15 years:

x + 15 = 4 (x - 6)

x + 15 = 4x - 24

x - 4x = -24 - 15

- 3x = -39

x = 13

<u>Paul now is 13 years old and Selena is 7 years old. In 15 years, Paul will be 28, that is 4 times the present age of Selena.</u>

3 0
3 years ago
Read 2 more answers
This graph has rotational symmetry about the points
mart [117]

Answer: Answer for figure one is origin (0,0)

Answer for figure two is (2,4) /

Step-by-step explanation:

a) Here we can see that given graph is the equation of cubic function which is

f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)

b) The rotational symmetry of  an ellipse is 180 degrees about the center  of  the ellipse .

And here the center of given ellipse is  (2,4) ,therefore its rotational  symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.

7 0
2 years ago
Identify the like term 9x, 10y, -9y, 10
quester [9]

the like terms are: 10y, and -9y because they are both of the same variable, y.

7 0
3 years ago
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