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3 years ago

Rae runs 4 times as many miles as Madison and Aaliyah combined. Madison runs m miles, and Aaliyah runs a miles.

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer: $4(m+a)$

Step-by-step explanation:

<h3> The complete exercise is: "Write an expression using letters and/or numbers for each problem below"</h3>

For this exercise it is necessary to remember the following:

1. The word "times" indicates multiplication,

2. The word "combined" indicates addition.

In this case let "m" represents the amount of miles that Madison runs and let "a" represents the amount of miles that Aaliyah runs.

Based on the explained above, you know if the amount of miles that Madison runs and the amount of miles that Aaliyah runs are combined (or in other words, they are added), then the expression that represents this would be:

$m+a$

Therefore, you can determine that "4 times as many miles as Madison and Aaliyah combined", can represented with the following expression:

$4(m+a)$

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vodka [1.7K]

Answer:

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K = (M/2)*V^2

And also remember that:

1 J = 1 kg*m/s

a) we know that:

Mass = M = 0.7 kg

Velocity = V = 60 m/s

Then the kinetic energy is:

K = (0.7kg/2)*(60m/s)^2 = 1,260 J

b) We know that in a closed system, the energy is conserved.

This means that if we hit an object with an energy E, the maximum energy that we can give to that object is E.

Then if we have a bat of mass M = 2kg, and velocity V = 30m/s

The kinetic energy of the bat (before hitting the ball) is:

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Obviously, this will never happen, because after we hit the ball the bat keeps moving for a bit, meaning that it still has some kinetic energy and it did not transfer all of the kinetic energy to the ball. But we can not have a more precise estimation, because we do not know the mass of the ball and a lot of other needed information, so we can conclude that, the theoretical maximum energy that could be given to the ball, is 900 J.

c) Here we have:

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Velocity = V = 10 m/s

then the energy is:

K = (1950kg/2)*(10 m/s)^2 = 97,500 J.

d) Notice that in the equation of the kinetic energy we have the velocity squared, which means that the contribution of the velocity is larger than the contribution of the mass.

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3 years ago

Factor Completely: 10x + 15

tankabanditka [31]

Answer:

5(2x + 3)

Step-by-step explanation:

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2 years ago

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Find the zero of: f(x)=5x+195

monitta

Answer:

(x + 39) or x = -39

Step-by-step explanation:

Set f(x) to 0

0 = 5x + 195

5x = -195

x = -39

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3 years ago

A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i

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Step-by-step explanation:

Step 1: Find number of ounces left after each day.

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