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patriot [66]
2 years ago
13

PLEASE HELP !!!! SYSTEMS OF EQUATIONS

Mathematics
1 answer:
jekas [21]2 years ago
4 0

Answer:

Maddie got 810 votes

Step-by-step explanation:

We'll call Maddie's votes x, and her opponent's votes y.

x + y = 1485

x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y

So our system is

x + y = 1485   and

x = 1.2y

Substitute the second equation's value for x into the first equation:

1.2y + y = 1485 then solve for y

2.2y = 1485

divide both sides by 2.2

y = 675

substitute that in and solve for x

x + y =1485

x + 675 = 1485

subtract 675 from both sides

x = 810

Please let me know if you have questions on this answer. Hope it helps.

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The question is below thanks
Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

2rπ

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

\frac{angles}{360}=\frac{arc}{circumference}

Substitute in the given information and solve;

\frac{82}{360}=\frac{arc}{14pi}

arc = \frac{41}{180}*14pi

arc = \frac{287}{90}*pi

arc ~ 10.02

3 0
3 years ago
How many times greater is 1 kilogram than 1 microgram?
Pani-rosa [81]
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Contact [7]

Answer:

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Step-by-step explanation:

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Oksana_A [137]

Answer:

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Step-by-step explanation:

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