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2 years ago

Is the average (arithmetic mean) of x and y greater than 20? the average (arithmetic mean) of 2x and 2y is 48. x = 3y?

Mathematics

1 answer:

AysviL [449]2 years ago

4 0

2x + 2y = 48
2(x + y) = 48
x + y = 24
mean = 24/2 = 12

less than 20

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2 years ago

On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is

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Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

Point P is at (4, 2),
Point Q is at (8, 5),
Point R is at (5, 9), and
Point S is at (1, 6)

Midpoint of SQ $=\frac{1}{2}(1+8,5+6)=(4.5,5.5)$

Midpoint of PR $=\frac{1}{2}(4+5,2+9)=(4.5,5.5)$

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

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Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

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2 years ago

A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,

erma4kov [3.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting population = 4000

Addition per month = 170

decline on population per month = 70

Increase rate in population per month (dt) :

Starting population = 4000

Number of births per month = 170

However, the population declines by 70 individuals each month

Hence,

Number of births - number of deaths(d) = 70

170 - d = - 70 ( decline?

170 + 70 = d

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d = number of deaths

Per capita death :

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1 year ago