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Marat540 [252]
3 years ago
10

Centerville has a population of 13000. People under the age of 18 make up 22% of the towns population. How many people under the

age of 18 live in Centerville?
Mathematics
1 answer:
Katen [24]3 years ago
8 0
To solve this proportion, we must use the percent proportion equation, 

a/b=p/100

If we put in our known variables, we get the equation

a/13000=22/100

Net, we use cross products to simplify this equation, or multiplying the numerator of one fraction by the denominator of another fraction and setting them equal to one another.

100a=286000

Finally, we divide both sides by the coefficient of the variable, to get it alone:

a = 2860

Therefore, 2860 people out of the total 13000 people that live in Centerville are under the age of 18.
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Find the perimeter of the triangle with vertices ​A(negative 2​,2​,3​), ​B(4​,negative 4​,3​), and ​C(7​,6​,4​).
gayaneshka [121]

Answer:

P\approx 28.872\,\text{units}

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

for the side AB: A(-2,2,3) and B(4,-4,3)

AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}

AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}

AB = \sqrt{72}

for the side BC: B(4,-4,3) and C(7,6,4)

BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}

BC = \sqrt{110}

for the side CA: C(7,6,4) and A(-2,2,3)

CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}

CA = \sqrt{98}

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

P = AB + BC + CA

P = \sqrt{72} + \sqrt{110} + \sqrt{98}

P\approx 28.872\,\text{units}

this is the perimeter of triangle ABC

6 0
3 years ago
Given the point and the slope, write the function in point-slope form:<br> (2, -5); m = 2/3
pshichka [43]
Y=2/3x+(-5)
hope this helps
3 0
2 years ago
The function y=−0.25x+0.55 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a lap
AURORKA [14]
Answer: a is 2.2, b is 0.55
Explanation:
To find the x intercept, put 0 instead of y,
hence,
0=-0.25x+0.55
-0.25x=-0.55
x=2.2
To find y intercept put 0 instead of x,
so,
y=-0.25*0+0.55
y=0+0.55
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3 years ago
Two angles are supplementary. One angle measures (3x + 2) degrees. The other angle measures twice that amount. What equation cou
nikdorinn [45]

Answer:

I do not know the equations given but here's my equation and solution:

9x = 174°

x = 19 1/9°

Step-by-step explanation:

(3x + 2) + 2(3x + 2) = 180°

3x + 2 + 6x + 4 = 180°

9x + 6 = 180°

9x = 174°

x = 19 1/9

If my answer is incorrect, pls correct me!

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Which proportion is NOT true?
Ira Lisetskai [31]

Answer:

I think its BD/FG=AD/EH.

8 0
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