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suter [353]
3 years ago
6

What is the smallest of 3 consecutive odd numbers if the product of the smaller two integers is 3 less than 6 times the largest

integer?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

7,9,11

Step-by-step explanation:

Let first number is x, second number is (x+2) and third number is (x+4).

ATQ,

The product of the smaller two integers is 3 less than 6 times the largest integer.

x(x+2) = 6(x+4)-3

x² + 2x = 6x+24-3

x² + 2x = 6x+21

x² + 2x -6x -21=0

x²-4x -21=0

It is a quadratic equation whose solution is :

x = -3 and x = 7

First number = 7

Second number = 9

Third number = 11

Hence, this is the required ssolution.

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The mean and median sales prices of new homes sold in the United States in February 2016 were $ 217822 and $ 244614 , respective
anastassius [24]

Answer:

Mean: $217,822

Median: $244,614

Step-by-step explanation:

The mean and median sales prices of new homes sold in the United States in February 2016 were $ 217822 and $ 244614 , respectively.

Mean and median, then the term respectively.

This means that first comes the mean, and then the median.

So

Mean: $217,822

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6 0
3 years ago
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Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third many yel
katrin [286]

Let the number of green apples bought be x


Green apples = x

Red apples = 2x

Yellow apples = 1/3 (2x) = 2/3 x


Total = 22 apples

x + 2x + 2/3 x = 22

11/3 x = 22

11x = 66

x = 6


Green apples = x = 6

Red apples = 2x = 2(6) = 12

Yellow apples = 2/3 (2x) = 2/3 (6) = 4


Answer: Green = 6, Red = 12, Yellow = 4

7 0
3 years ago
clara has a coupon for $10 off at her favorite clothing store. the coupon is applied before any discounts are taken. the store i
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Answer:

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Use the distributive property to rewrite the expression in factored form.<br> 15g−40
muminat

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When sampling from a population, the sample mean will: Group of answer choices always be closer to the population mean as the sa
Radda [10]

Answer:

When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.

Step-by-step explanation:

The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.

Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.

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