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Svet_ta [14]
3 years ago
15

Help me please and explain if possible?

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0
Let x = months

so we know that price of software package is $20
Now we need to find x the price of one month

we know that Angie and Kenny spent 115 total

Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)

So Angie + Kenny = $ 115

20 + 3y + 20 + 2y = 115

combine like terms and solve for x. That will give you the cost of one month

40 + 5x = 115
-40 -40

5x= 75
5x/5 = 75/5

x=15
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Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

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The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

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