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Natasha2012 [34]
3 years ago
10

Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbe

rs.
Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
Odd number is: (2n-1), (2n+1), (2n+3), (2n+x),... where x x changes every two
(2n-1)(2n+1)=(2n+3)(2n+5)-64
4n^2-1=4n^2+10n+6n+15-64
16n=48|:16
n=3
Now we substitute to (2n-1), (2n+1), (2n+3), (2n+5):
2n-1 = 2*3-1=5
2n+1 = 2*3+1=7
2n+3 = 2*3+3=9
2n+5 = 2*3+5=11
5,7,9,11
vagabundo [1.1K]3 years ago
6 0
If there are such numbers, then they can be written as 'x', (x + 2), (x + 4), and (x + 6).

Now, the problem says that  x(x+2) + 64 = (x+4) (x+6)

Expand each side:

x² + 2x + 64 = x² + 10x + 24

Subtract (x² + 24) from each side:

2x + 40 = 10x

Subtract 2x from each side:

40 = 8x

Divide each side by 8 :

x = 5

The numbers are <u>5, 7, 9, and 11</u>.

(5 x 7) + 64 = 35 + 64 = 99  and  9 x 11 = 99 .    yay !
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The Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assumin
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Answer:

The null hypothesis   H_o :  \mu =  31

The alternative hypothesis H_a :  \mu >  31

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu =  31 \  miles / gallon

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This mathematically  represented as

The null hypothesis   H_o :  \mu =  31

   The alternative hypothesis is that the company's  new sedan, the Libra, will have an average better than   \mu =  31 \  miles / gallon

This mathematically  represented as

     The alternative hypothesis H_a :  \mu >  31

7 0
3 years ago
Name two different numbers that round to 30 when rounded to the nearest ten
andrew11 [14]

For this case we have the following definition:

tens place: number of two digits whose absolute value is greater than zero.

Then, we have the following rounding rule:

If the previous number is greater than or equal to five, the next number increases by one unit.

We then have the following numbers rounded to 30 when rounded to the nearest ten:

26: twenty-six

27: twenty-seven

Answer:

two different numbers that round to 30 when rounded to the nearest ten are:

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6 0
2 years ago
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The graph of the line goes through the points (7.38, 2) and (11.07,3).
inna [77]

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Step-by-step explanation:

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3 years ago
Need some help asap...............
Agata [3.3K]

Answer:

<h2>39.94 cm</h2>

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

To find: Value of other side of TV

since, ABCD is a rectangle

<B= 90°

<h3>Using Pythagorean theorem:</h3>

{ac}^{2}  =  {ab}^{2}  +  {bc}^{2}  \\  {64}^{2}  =  {50}^{2}  +  {bc}^{2}  \\  {bc}^{2}  =  {64}^{2}  -  {50}^{2}  \\  {bc}^{2}  = 4096 - 2500 \\  {bc}^{2}  = 1596 \\ bc =  \sqrt{1596}  \\ bc = 39.94 \: cm

Hope this helps...

Good luck on your assignment..

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3 years ago
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