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Solnce55 [7]
3 years ago
7

-2(k - 5) + 2k = 5k + 5​

Mathematics
1 answer:
ddd [48]3 years ago
5 0
K=1

-2k + 10 + 2k = 5k + 5

10 = 5k + 5

5= 5k

K= 1
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What type of world would you want to escape to right now if you could ?
Mice21 [21]
I would want to escape to a world that I read about in one of my fantasy books. Life seems so much easier and simpler there. It’s too much violence and hatred in this world for me.
8 0
3 years ago
The area of the smallest equilateral triangle with one vertex on each of the sides of the right triangle with side lengths and <
Gre4nikov [31]
Set up the given triangle on x-y coordinates with right angle at (0,0). So the two vertices are at (5,0) and (0,2sqrt{x} n]{3})

let (a,0) and (0,b) be two vertices of the<span> equilateral triangle. So the third vertex must be at </span>(\frac{a+\sqrt{3}b}{2} ,  \frac{b+\sqrt{3}a}{2} )

for a pt (x,y) on line sx+ty=1, the minimum of \sqrt{x^{2} + {y^{2} }
equals to \frac{1}{ \sqrt{ s^{2} +  t^{2} } }

smallest value happens at \frac{10 \sqrt{3} }{67}

so area is \frac{75\sqrt{3}}{67}

hence m=75, n=67, p=3
m+n+p = 75+67+3 = 145

7 0
3 years ago
Read 2 more answers
Nicole has nine dollars to spend on cards she finds friends with the same amount of money to split the cost of a set once it cos
anyanavicka [17]

Answer:

Each Friend will get \frac{x}{3} cards.

Step-by-step explanation:

Let the number of cards be x.

Given:

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Also, she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds can be calculated by dividing the Cost of 1 set  with amount of money Nichole used to spend on cards.

Number of friends she finds = \frac{27}{9} = 3

Hence she finds 2 friends and 1 is nichole hence there are 3 persons carrying $9 to buy $27 set of card

Now, Number of cards each friend gets is equal to Total number of Cards in 1 set divided by number of people.

Number of cards each friend = \frac{x}{3}

Hence Each Friend will get \frac{x}{3} cards.

4 0
3 years ago
Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
20. The perimeter of a square is 72 in. What is its area?
ivanzaharov [21]

The formula for perimeter is length + length + width + width

You know that all the sides of a square are equal to each other. That means that all the values in the perimeter formula should be the same. Therefore you can divide 72 by 4 (perimeter divided by the number of sides)

72 / 4 = 18

^^^Each side is 18 in

The formula for are is...

A = length x width

so...

18 * 18 = 324

324 in^2

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
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