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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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masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

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3 0
1 year ago
Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability tha
Rainbow [258]

Answer:

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Step-by-step explanation:

From the question we are told that:

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Generally the equation for Standard deviation is mathematically given by

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\sigma=\sqrt{157*0.56*0.44}

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Therefore

P(x>99)=P(z>(\frac{99.5-87.92)}{6.22})

P(x>99)=P(z>1.86)

P(x>99)= 0.468

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The answer would be D. It says the length is 10 millimeters less than TWICE the width, so it would be 10 millimeters greater than the original width.
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3 years ago
60 PTS PLEASE HELP ME!! I NEED AN ANSWER QUICK!!
musickatia [10]

Answer:

y = 4/3x + 1

Step-by-step explanation:

slope = rise over run

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8 0
3 years ago
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Answer:

−

3

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9

=

6

−

2

+

5

=

1

0

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