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bonufazy [111]
2 years ago
13

In a run-off election between two candidates, a total of 25,200 votes were cast. If 300 voters had switched

Mathematics
2 answers:
bearhunter [10]2 years ago
7 0

Answer:

The winner received 12,800 votes and the loser received 12,400.

Step-by-step explanation:

Divided the votes in half, then took 100 votes from the winner, defined W, and added 100 to the loser, defined L to give the Loser a lead of 200. Then switch 300 votes from the losers number to the winner. You'll end up with 12,800 and 12,400 and you can check by switching 300 voters from winner (12,800) to loser (12,400) to make the loser win by 200 votes. 12,800 and 12,400 also add up to 25,200.

alekssr [168]2 years ago
6 0

Step-by-step explanation:

yikes that's hard GG bro

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EastWind [94]
The answer to this questions is =  17 
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2 years ago
one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>

<em>a=\frac{2}{3}b+10</em>

<em />

<em>Also, since they are supplementary (add up to 180), we can write:</em>

<em>a + b = 180</em>

<em />

We can now substitute 1st equation in this one and find b:

a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

8 0
1 year ago
Juanita wants to perform row operations on the augmented matrix for the system below (See pictures). Which matrix should Juanita
Artist 52 [7]

Answer:

The second option

Step-by-step explanation:

The given system of equation is

x+2y=3

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y-2z=-3

The augment matrix is obtained by combining the coefficient matrix with the constant matrix to obtain;

\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]

Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.

The correct choice is the second option.

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2 years ago
At summer camp the ratio of boys to girls was 7:2 If there were 21 boys how many girls were there?
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2 years ago
A 3.00-g copper penny at 25.0°C drops from a height of50.0 m to the ground. (
Gnoma [55]
The potential energy, E, of the penny is given by E=mgh.  The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT.  We can equate these two to get the result but we must use proper units and include the 60%:
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T=25.7644°C
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2 years ago
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