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kramer
3 years ago
6

The difference of two numbers is 9 and the sum of the numbers is 55. What are the numbers? Please show procedure.

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0
X/y=9
x+y=55
x=-y+55
-y+55/y=9
-y+55=9y
-10y=-55
y=5.5
x=49.5
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Neeeeed help please
Nikolay [14]
A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one.  In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry      Tim
2              1
2              1
2              1
2              1
2              1
2              1
10            1  (Henry's own vote)
1          100  (Tim's own vote)
------------------
17        107  TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.



3 0
3 years ago
Read 2 more answers
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it retu
Nastasia [14]
For this case we have the following equation of motion:
 h (t) = -16t ^ 2 + 90t
 Equaling the equation to zero we have:
 -16t ^ 2 + 90t = 0
 We look for the roots of the polynomial:
 (t) (- 16t + 90) = 0
 t1 = 0 (initial position)
 t2 = 90/16 = 5.625 s (time it reaches the ground again)
 Answer:
 
it will return to the ground in:
 
t = 5.625 s
4 0
3 years ago
For which of the following compound inequalities is there no solution?
tamaranim1 [39]

Answer:

I THINK A

Step-by-step explanation:

3 0
2 years ago
Which mathematician used the lengths of the chords created by the position of the Sun during the seasons to create a table of si
Nastasia [14]
I got this wrong...but it's Hipparchus.
4 0
3 years ago
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X - 5(x + 1) = 3x + 2<br> answer , but show work pls.
Nitella [24]

Answer: x = -1

Step-by-step explanation:

Starting:

x-5(x+1)=3x+2

Simplify the left side:

-4x-5=3x+2

Move all the terms with an x to the left:

-7x-5=2

Move all the terms without an x to the right:

-7x=7

Divide both sides by -7:

x = -1

3 0
3 years ago
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