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2 years ago

The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.

Mathematics

1 answer:

Montano1993 [528]2 years ago

5 0

Answer: 21

Step-by-step explanation:

Let the consecutive odd numbers be represented by x and x+2. Therefore,

x × (x+2) = 483

x² + 2x = 483

x² + 2x - 483 = 0

x² + 23x - 21x - 483 = 0

x(x + 23) - 21(x + 23) = 0

(x - 21) = 0

x = 0 + 21

x = 21

The smaller integer is 21

The larger integer is 21 + 2 = 23.

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Answer:

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Step-by-step explanation:

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3 years ago

Solve the following system of equations. 3x+4y=12

Lesechka [4]

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12 ------- eq1

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Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

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Subtracting eq2 from 1 we get:

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i hope it will help you.

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3 years ago

Rita drank the following ounces of milk during the last week

Andre45 [30]

Answer:

Mean = 14.14

Mode = 14

Median = 14

Range = 16

Step-by-step explanation:

Given Data Set : 18 , 14 , 10 , 22, 14 , 15 and 6

Identifying the mean

Mean = Sum of given data values / total # of given values

Here sum of given data values = 18 + 14 + 10 + 22 + 14 + 15 + 6 = 99

And there are 7 given data values

So mean = 99 / 7 =

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( approximately )

Identifying the mode

The mode is the number that appears most often

14 appears twice, which is the most times out of any other value

Hence, the mode is

Identifying the median

The median is the middle number in terms of value

To make this easier, its best to order the given values from least to greatest
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Then you go to the middle of the listed terms.

Doing so we would end up with 14 being in the middle

Hence the median is

Identifying the range

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Here the most rita drank was 22 ounces and the least amount of milk she drank was 6 ounces

So the range would be 22 - 6 =

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2 years ago

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lilavasa [31]

Best to look up the formula for the surface area of a sphere and then find it:

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3 years ago