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2 years ago

In 2016 the city of Rio de Janeiro had a population density of 5377 people/km²

Mathematics

1 answer:

N76 [4]2 years ago

4 0

Answer:

, the population density in people per square meter is 0.005377

Step-by-step explanation:

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How can you solve a system of linear equations? How can you check your solution?

natali 33 [55]

After you solve a system of linear equations, you will get an ordered pair (x,y). Replace x with whatever number you obtained for x, and replace y with whatever number you obtained for y. If both your equations are true upon simplifying, you know it is correct.

3 0

2 years ago

Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t

KatRina [158]

Answer:

The two equations that can be used to find each of their ages are $x=4 \times y$ and $x+y=60$ .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

The first condition states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

$x=4 \times y$ ----------------- [equation 1]

The second condition states that the sum of their ages is 60 years, that means;

$x+y=60$

$4y + y = 60$ {using equation 1}

$5y=60$

$y=\frac{60}{5}$

y = 12 years

Now, putting the value of y in equation 1 we get;

$x=4 \times y$

$x= 4 \times 12$ = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0

2 years ago

What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?

Vikki [24]

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

(5, -4)

x₁ = 5
y₁ = -4

(-13, 12)

x₂ = -13
y₂ = 12

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Therefore, let's substitute these values.

$\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}$