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Stolb23 [73]
4 years ago
14

LOTS OF POINTS - SIMPLE MATH

Mathematics
1 answer:
aliya0001 [1]4 years ago
5 0

Answer:

10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8

11. \text{Opposite of a Sum} \implies \text{A. }  -[(-r) + 2p] = -(-r) -2p

12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w

13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d

\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}

14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t

15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x

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9. On July 4, 2017, the United States of America had a population of 325.7 million
Nana76 [90]

The population density in the United States is D = 92.1 people/mi^2

<h3></h3><h3>How to get the population density?</h3>

To get the population density, we need to take the quotient between the total number of people and the area.

In this case, we know that the total population is 325.7 million, and the area of the United States is  3,535,932 mi^2

Then the population density:

D = (325.7 million)/( 3,535,932 mi^2) = 9.21*10⁻⁵ million/mi^2

And we know that 1 million = 1,000,000 = 1*10⁶

Then:

9.21*10⁻⁵ million/mi^2 = 9.21*10¹ people/mi^2 = 92.1 people/mi^2

This means that in each square mile in the United States, there are around 92.1 people.

If you want to learn more about density:

brainly.com/question/1354972

#SPJ1

3 0
2 years ago
14. What is the solution of the system? Use elimination.<br> 9x + y = 30<br> 6x - y = 15
klemol [59]

Answer:

x=90/16,y=-150/16

Step-by-step explanation:

Simultaneous equation and we are to use elimination method

9x+y=30...(1)

6x-y=15..(2)

Add (1) and (2)

16x=15

Divide both sides by 16

x=15/16

Then substitute the value of x into (2)

6(15/16)-y=15

90/16-y=15

Substrate 15 from both sides

90/16-y-15=0

Add y to both sides

90/16-15=y

Lcm for only the left side which is 16

90-240/16=y

-150/16=y

Therefore x is 90/16 and y is -150/16

6 0
3 years ago
Simplify the expression below. (2x^3-12x^2+10x-108)/x-6
ser-zykov [4K]
We have the following expression:
 (2x ^ 3-12x ^ 2 + 10x-108) / x-6
 Dividing the expression between x-6 we have:
 quotient: 2x ^ 2 + 10
 remainder: - 48
 We can check the result then rewriting the expression:
 2x ^ 3-12x ^ 2 + 10x-108
 = (2x ^ 2 + 10) * (x-6) - 48
 = (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
 = 2x ^ 3-12x ^ 2 + 10x-108
 Division OK.
 Answer:
 
The result of the division is:
 
quotient: 2x ^ 2 + 10
 
remainder: - 48
5 0
3 years ago
16, 30, 44, 58, __, ...​
Strike441 [17]
Seventy two(72), eighty six(86)
5 0
3 years ago
HELP ASAP THIS IS DUE IN 5 MINUTES
Leona [35]

Answer:

25.5 m

Step-by-step explanation:

solve for the area of the triangle and the rectangle separately, then add the values together.

5 0
3 years ago
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