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zhuklara [117]
3 years ago
13

•Let x represent the number of horses •the number of goats is 5 less than the number of horses •the total number of horses and g

oats is 21 What is x, the number of horses on the farm?
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer: x=13

Step-by-step explanation:  

(x-5) + x = 21  given

2x-5=21          combined like terms

2x=26             addition property of equality

x=13                 division property of equality

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What two positive real numbers whose product is 7272 have the smallest possible​ sum?
nadezda [96]
\sqrt{7272} and \sqrt{7272}, or as a rounded decimal 85.28 and 85.28. 

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number. 

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101. 
3 0
3 years ago
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each packa
Sveta_85 [38]

Answer:

  more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

  $6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

  3.50n > 3850

  n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

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<em>Additional comment</em>

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

5 0
2 years ago
2 (3x+1)=17-3 (x-17)
elena-14-01-66 [18.8K]
<h2>Answer:</h2>

x =  \frac{22}{3}

<h3>alternative form:</h3>

x = 7 \frac{1}{3}  \: or \: x = 7.33333333333

<h2>Step-by-step explanation:</h2>

2(3x + 1) = 17 - 3( x - 17) \\ distribute \\  \\ 6x + 2 = 17 - 3x  + 51 \\ add \: 3x \: from \: both \: sides \\  \\ 9x + 2 = 17  +  51 \\ add \: 17 \: to \: 51 \\  \\ 9x + 2 = 68 \\ subtract \: 2 \: from \: both \: sides \\  \\ 9x = 66 \\  divide \: both \: sides \: by \: 9 \\  \\ x =  \frac{22}{3}

3 0
3 years ago
What is 24% as a growth and decay factor
Lisa [10]

Answer:

When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.

Step-by-step explanation:

5 0
3 years ago
If John loses -$50 over 10 days, on average how much does he lose in one day?
tankabanditka [31]

Answer:

$5

Step-by-step explanation:

If John loses $50 over 10 days, just divide 50 by ten.

4 0
3 years ago
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