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barxatty [35]
3 years ago
13

Amos, peter, and Carlos begin running around a circular track the same time, from the same start line. It takes Amos 12 minutes

to complete the lap around the track. It takes peter 9 minutes, and it takes Carlos 8 minutes to complete 1 lap around the track. If the three boys continue running around the track their same rate of speed, in how many mi utes will the three boys pass one another?
Mathematics
2 answers:
umka2103 [35]3 years ago
6 0
30?

Hope this help(Tell me if i'm wrong :])
alexgriva [62]3 years ago
4 0

Answer:

<h2>After 72 minutes they all meet again.</h2>

Step-by-step explanation:

Givens

  • Amos completes a lap in 12 minutes.
  • Peter completes a lap in 9 minutes.
  • Carlos completes it in 8 minutes.

Now, to find the time where the pass one another, we just need to find the Greatest Common Factor. Let's use the divisors and multiples of each number.

12: 1, 2, 3, 4, 6, 12, 24, 36, 48, 60, 72.

9: 1, 3, 9, 18, 27, 36, 45, 54, 63, 72.

8: 1, 2, 4, 8, 16, 24, 32, 40, 48, 56, 64, 72

Now, observe that Amos and Peter pass on another after 3 minutes, then again after 36 minutes.

Peter and Carlos pass one another after 72 minutes.

Actually, they all meet at the same time after 72 minutes.

Therefore, the answer is 72 minutes.

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2 years ago
$3000 is invested at 3% annual interest for 3 years.<br> a. Simple Interest b. Compound Interest
stich3 [128]

Answer:

a. $270

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Step-by-step explanation:

Given that

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Annual rate of interest is 3%

And, the time period is  3 years

We need to find out the simple interest & compound interest

The following formulas should be used

a. For simple interest

= Principal × rate of interest × time period

= $3,000 × 3% × 3 years

= $270

b. For compound interest

= Principal × (1 + rate of interest)^time period

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8 0
2 years ago
In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the
oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation(which is the square root of the variance) \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

\mu = 503, \sigma = \sqrt{9604} = 98

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1.476 = \frac{X - 503}{98}

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The percentle for Abby's score was the 89.62nd percentile.

3 0
3 years ago
Expand and simplfy (2x+1)(x+3)
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Answer:

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like this:

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25% of 100 is not the same as 25% of 180.
6 0
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