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horrorfan [7]
3 years ago
15

The average of two numbers is twice the positive difference between if the smaller number is 9 what's my answer?

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0
Let b, be the smallest number :Note the average of a+b = (a+b)/2
(a+b)/2 = 2(a-b)
a+b = 4(a-b)
a+b = 4a - 4b, but b = 9, then plug:
a+9 = 4a - 36
-3a = -45
3a = 45
and a = 15
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Fiesta28 [93]

Answer: 130

Step-by-step explanation:

Find the height of the triangle by using the pythagorean theorem

So the height is sqrt(100 - 25) = 5sqrt(3)

The area of the triangle is 30 * 5sqrt(3) / 2 = 75sqrt(3) = 129.9 = 130

5 0
2 years ago
You are ordering softballs for two softball leagues. The Pony Leagues uses an 11-inch softball prices at $2.75. The Junior Leagu
Zigmanuir [339]

Answer:

I have ordered <u>30</u> softballs of 11-inch and <u>50</u> soft balls of 12-inch.

Step-by-step explanation:

Let the number of 11-inch softball be 'x'.

Let the number of 12-inch softball be 'y'.

Given:

Total number of soft balls = 80

Now we know that.

Total number of soft balls is equal to sum of the number of 11-inch softball and the number of 12-inch softball.

framing in equation form we get;

x+y=80 \ \ \ \ equation \ 1

Also Given:

Price of 11- inch softball = $2.75

Price of 12-inch softball = $3.25

Total Bill = $245

Now we know that;

Total bill of soft balls is equal to sum of Price of 11- inch softball multiplied by the number of 11-inch softball and Price of 12- inch softball the number of 12-inch softball.

framing in equation form we get;

2.75x+3.25y = 245 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 3.25 we get;

3.25(x+y)=80\times 3.25\\\\3.25x-3.25y = 260 \ \ \ \ equation \ 3

Now Subtracting equation 2 from equation 3 we get;

(3.25x+3.25y)-(2.75x+3.25y)=260-245\\\\3.25x+3.25y-2.75x-3.25y = 15\\\\0.5x = 15

Dividing both side by 0.5 we get;

\frac{0.5x}{0.5}= \frac{15}{0.5}\\\\x= 30

Now Substituting the value of 'x' in equation 1 we get;

x+y=80\\\\30+y=80\\\\y =80-30 =50

Hence I have ordered <u>30</u> softballs of 11-inch and <u>50</u> soft balls of 12-inch.

6 0
3 years ago
Calculate surface area of pyramids
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3 0
3 years ago
Simplify: 2b - 15d - 8b + 10b + 12d=
guapka [62]

Answer:

4b-3d

Step-by-step explanation:

first add the like terms

2b - 8b + 10b = 4b

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then add the results.

5 0
4 years ago
Part 1: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Id
eimsori [14]
when you use all prime, non-one numbers for b and c, it cannot be factored most of the time


example
1x^2+7x+5
a=1
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x=\frac{-7+/- \sqrt{7^2-4(1)(5)} }{2(1)}
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x=\frac{-7+ \sqrt{29} }{2} or \frac{-7- \sqrt{29} }{2}



7 0
4 years ago
Read 2 more answers
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