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3 years ago

If n/5=45/75.find the value of n.

Mathematics

2 answers:

julsineya [31]3 years ago

4 0

Answer:

n = $\frac{9}{5}$

Step-by-step explanation:

Simplify the fraction on the right side

$\frac{n}{5}$ = $\frac{45}{75}$ = $\frac{3}{5}$ ( cross- multiply )

5n = 15 ( divide both sides by 5 )

n = 3

Stells [14]3 years ago

3 0

Start with

$\dfrac{n}{5}=\dfrac{45}{75}$

Multiply both sides by 5:

$n = \dfrac{45\cdot 5}{75} = \dfrac{45}{15} = 3$

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SHOW WORK:

fomenos

Answer:

Expected population in 2015: 19,152.58 or 19,000 people

Step-by-step explanation:

Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:

We can solve for the rate of decrease by using the formula:

$A = a(1 - r )^{t}$

where:

A = population by year 2015

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2 years ago

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3 years ago

The points J(-1,-9) and K(5,1) are endpoints of a diameter of circle S. Which equation represents circle S? A. (x − 2)2 + (y + 4

Andrew [12]

Answer:

the equation of the circle is

$(x-2)^2+(y+4)^2 = 34$

Step-by-step explanation:

Recall that the equation of a circle is given by $(x-h)^2+(y-k)^2 = r^2$ where r is the radius, and (h,k) is the center. Recall that given two points that are the endpoints of a diameter, the center of the circle is their correspondent midpoint. Also, recall that given points (a,b), (c,d) their midpoint is obtained by $(\frac{a+c}{2},\frac{b+d}{2})$

In this case we are given the endpoints (-1,-9), (5,1). So the center of the circle is the midpoint obtained by $(\frac{-1+5}{2},\frac{-9+1}{2}) = (2, -4)$ . Recall that the radius of a circle is the distance from the radius to any of the points of the circle. So, the radius is the distance between the center and the point (-1,-9). We will calculate r^2, by using the distance formula. REcall that the distance between points (a,b), (c,d) is given by

$\sqrt[]{(a-c)^2+(b-d)^2}$ . So, its square is

$(a-c)^2+(b-d)^2$ .

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$r^2 = (2-(-1))^2+(-4-(-9))^2 = 3^2+5^2 = 34$

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3 years ago