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Anni [7]
1 year ago
10

On the go company has two monthly plans for its customers. The EZ pay plan cost a $0.15. Solve the equation, showing each step.

List the property of quality or provide for each step.​
Mathematics
1 answer:
sveticcg [70]1 year ago
3 0

The equation shows that the number of minutes when the plans will be equal will be 400 minutes.

<h3>How to calculate the value?</h3>

From the information, we are told that the on the go company has two monthly plans for its customers. The EZ pay plan cost a $0.15. The 40 to go plan costs $40 per month plus $0.05 per minute.

The cost for the first plan will be:

= 0.15 ×x

= 0.15x

The cost for the second plan will be:

= 40 + 0.05x

The number of minutes when the plans will be equal will be:

0.15x = 40 + 0.05x

0.15x - 0.05x = 40

0.10x = 40

x = 400

Therefore, the equation shows that the number of minutes when the plans will be equal will be 400 minutes.

Complete question:

On the go company has two monthly plans for its customers. The EZ pay plan cost a $0.15. The 40 to go plan costs $40 per month plus $0.05 per minute. Solve the equation.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
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The length of train is 120 meters

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<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

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