20+20=? giving 20 pts

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

Step-by-step explanation:

$20 + 20 = 40$

That is literally all there is to it

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Simplifly -3(x+4)+5x

Alisiya [41]

Answer:

2x-12

Step-by-step explanation:

6 0

3 years ago

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in sub-Saharan African an estimated 28.5 million people are infected with AIDS. Unfortunately that number is rising. and it is e

Viktor [21]

Answer:

About 28,671,342 people

Step-by-step explanation:

This is compound growth problem. This goes by the formula:

$F=P(1+r)^t$

Where

F is the future amount (in 3 years)

P is the present amount (28.5 million)

r is the rate of growth (0.4% = 0.4/100 = 0.004)

t is the time in years (3 years)

We first, need to find the rate of growth annually. It is given 0.4% every 2 years, so in 1 year that would be:

0.4%/2 = 0.2% = 0.002

Now, we put the information into formula and solve:

$F=P(1+r)^t\\F=28500000(1+0.002)^3\\F=28500000(1.002)^3\\F=28,671,342$

So, around 28,671,342 people will be infected in 3 years.

8 0

4 years ago

Find the coordinates of the centroid of the triangle formed by the x-axis, the y-axis, and the line 12x + 9y = 36, show work ple

emmainna [20.7K]

Given the line 12x + 9y = 36

the line intersects the x-axis when y = 0,

i.e. 12x = 36 ⇒ x = 3

Thus the x-intecept is (3, 0)

the line intersects the y-axis when x = 0,

i.e. 9y = 36 ⇒ y = 4

Thus, the y-intercept is (0, 4)

Thus, the coordinates of the vertices of the triangle are (0, 0), (0, 4) and (3, 0)

The midpoint of the side of the rectangle joining points (0, 0) and (0, 4) is (0, 2) and the equation of the median joining points (0, 2) and (3, 0) is given by

$\frac{y-2}{x} = \frac{-2}{3} \\ \\ \Rightarrow3(y-2)=-2x \\ \\ \Rightarrow y=- \frac{2}{3} x+2$

The midpoint of the side of the rectangle joining points (0, 0) and (3, 0) is (1.5, 0) and the equation of the median joining points (1.5, 0) and (0, 4) is given by

$\frac{y}{x-1.5} = \frac{4}{-1.5} \\ \\ \Rightarrow1.5y=-4(x-1.5)=-4x+6 \\ \\ \Rightarrow y=- \frac{8}{3} x+4$

The point of intersetion of the two medians is given by

$- \frac{2}{3} x+2=- \frac{8}{3} x+4 \\ \\ \Rightarrow2x=2 \\ \\ \Rightarrow x=1 \\ \\ \Rightarrow y=-\frac{2}{3}+2=\frac{4}{3}$

Therefore, the centroid of the given triangle is located at point $\left(1, \frac{4}{3} \right)$