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2 years ago

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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Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

Alex17521 [72]

$26.79
If you took 30% of 26.79 you get 8.037
Subtract: 26.79-8.037 = 18.753

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2 years ago

A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length

sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

shadow

Substitution

x / 31.5 = 8 / 14

Solve for x

x = (31.5)(8) / 14

Simplification

x = 254.4 / 14

Result

x = 18.2 ft

4 0

2 years ago

Let $f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$. Without using long division (which would be horribly nasty!), find the remainder when

valentina_108 [34]

Solution:

$f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$

We have to find the remainder when f(x) is divided by $x^2-1.$

x²-1=0

x= $\pm1$

$f(1)=1^{10}-8(1)^8-8(1)^3+12(1)^2-5(1)-5=1-8-8+12-5-5=1-16+12-10=13-26=-13\\\\f(-1)=(-1)^{10}-8(-1)^8-8(-1)^3+12(-1)^2-5(-1)-5=1-8+8+12+5-5=1+12=13$

So, remainder is 13 and -13.

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2 years ago

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If 20% of all manually filed returns contain errors, and 0.05% of all electronically filed returns contain errors, how much more

Marizza181 [45]

To get the correct answer to this question, you just need to divide 20% by 0.05% in order to get the answer, how many times a manual filer is more likely to make an error than an electronic file.
20: 0.05 = 400
The answer is C. 400 times more likely.

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2 years ago

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. How mu

kotykmax [81]

Answer:

The amount of investment in bonds is US$ 4,500 and the amount of investment in stocks is US$ 19,500

Step-by-step explanation:

Total investment in stocks and bonds = US$ 24,000

Amount of investment in bonds = x

Amount of investment in stocks = 3x + 6,000 (amount in stocks is $6,000 more than three times the amount in bonds)

For finding the value of x (amount of investment in bonds), we use this equation:

x + 3x + 6,000 = 24,000

x + 3x = 24,000 - 6,000

4x = 18,000

x = 4,500 (dividing by 4)

The amount of investment in bonds is US$ 4,500

Now let's find the amount of investment in stocks:

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The amount of investment in stocks is US$ 19,500

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2 years ago

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