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7nadin3 [17]
3 years ago
5

Jenny had driven for 2 h at a constant speed when round repairs forced her to reduce her speed by 10 mi/h for the remaining 1 h

of her 152 mi trip. Find her original speed.
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

Her original speed is 54 mi/h

Step-by-step explanation:

Here, we want to calculate the original speed

Let this be x mi/h

Mathematically;

distance = speed * time

So she drove at a speed of x mi/h for 2 hours, then (x-10) mi/h for the remaining 1 hour for a total 152 mi journey

Mathematically, we can add up the journey parts as

x(2) + (x-10)1 = 152

2x + x - 10 = 152

3x = 152 + 10

3x = 162

x = 162/3

x = 54 mi/h

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May I please have brainliest? :D

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At the grocery store, 3 pints of ice cream cost $5.70. How much would 20 pints of ice cream cost?
mr_godi [17]

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KonstantinChe [14]

The pattern is formed a geometric sequence

The nth term of the sequence is a_{n}=3^{n}

Step-by-step explanation:

The formula of the nth term of a geometric sequence is:

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∵ The pattern is 3 , 9 , 27 , 81 , 243

∵ 9 ÷ 3 = 3

∵ 27 ÷ 9 = 3

∵ 81 ÷ 27 = 3

∵ 243 ÷ 81 = 3

- There is a common ratio 3 between each two consecutive terms

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∵ The first term is 3

∴ a = 3

∵ The common ratio is 3

∴ r = 3

- To find the nth term substitute a and r in the formula above

∵ a_{n}=ar^{n-1}

∴ a_{n}=3(3)^{n-1}

- Remember we add the powers of the same base with multiplication

∵ 3 × 3^{n-1} = 3^{1+n-1}

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∴ a_{n}=3^{n}

∴ The nth term of the sequence is  a_{n}=3^{n}

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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It results in the same proportion which is 5 to 4.
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