-16+5n=-7(-6+8n)+3

what is the work for this ?? this is the like only one i cant get

Answers

Answer 1
Answer: -16 + 5n = -7(-6 + 8n) + 3   Given
-16 + 5n = 42 - 56n + 3   Distribute
-16 + 5n = 45 - 56n   Collect like terms
61n = 61   Add 56n to the left side and add 16 to the right side
n = 1   Divide 61 from both sides

The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.

Hope this helps!

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On the block where Liza lives, the house numbers of all the two-story homes are prime numbers. Liza's block contains house numbers between 40 and 60. List all of the house numbers of all the houses that you know have two stories.

Answers

Answer:

41, 43, 47, 53, 59

Step-by-step explanation:

Prime numbers are numbers that can be divided only by 1 and itself.i.e. it has only two factors. 1 is not a prime number as it has only one factor. The Prime numbers between 40 and 60 are 41, 43, 47, 53, 59.

The two-story home numbers are 41, 43, 47, 53, 59.

the area of a pentagon increased by 27 is the same as four times the difference of area and 15. what is the area of the pentagon?

Answers

this can be written as:
a+27=4(15-a)
now to work it out
a+27=4(15-a)
a+27=60-4a
4a+27=60
4a=33
a=8.25

hope this helps :)

Round .0091 to the thousandths

Answers

The answer is 0.009.
Hope this helps!:)
0.0091 rounded to the nearest thousandths would be 0.009. This is because the 1 after the 9 is BEFORE 5 so it stays as 9, and we remove the 1. 

Answer:- .0091 rounded to the nearest thousandths is .009.

Hope I helped ya!! xD

How do I solve for y in this equation? 3xy-28=16x

Answers

The value of y is  16/3 + 28/3x

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S

Given:

3xy-28=16x

3xy= 16x + 28

y = 16x/ 3x + 28/3x

y= 16/3 + 28/3x

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

3xy-28=16x 

3xy=16x+28    Add \ 28 \ to \ both \ sides 

xy= (16x+28)/(3)  Divide \ both \ sides \ by \ 3 

xy= (4(4x+7))/(3)   Factor \ out \ the \ common \ term \ 4 

y= (4(4x+7))/(3x)    Divide \ both \ sides \ by \ x

Check all the equations that apply to meet the Segment AdditionPostulate in segment OQ. OP=6X+5,PQ=4x and OQ=45

Answers

Answer:

Options (2) and (5)

Step-by-step explanation:

Given in the question,

Length of OQ = 45

OP = (6x + 5)

PQ = 4x

By segment addition postulate,

Length of a segment OQ = length of segment OP + length of segment PQ

45 = 6x + 5 + 4x

10x + 5 = 45

10x = 45 - 5

10x = 40

x = (40)/(10)

x = 4

Therefore, Option (2) and Option (5) are the correct options.

The mean is always the best measure of central tendency for a set of data. true false

Answers

False, as the mean can be skewed by an outlier in the data