Solve 2/3 (6x+30)=x+5(x+4)–2x

Answers

Answer 1

Answer: expand the left hand side of the equation first. this is easy since two thirds of six is four and two thirds or thirty is twenty.
4x + 20 = x + 5(x+4) - 2x
expand the right hand side :
4x + 20 = x + 5x + 20 -2x

Collect up all the x terms on the right hand side: 4x + 20 = x + 5x - 2x + 20
So the total number of "x" 's on the right hand side is 1 + 5 -2 = 4
4x + 20 = 4x + 20
Hey ! look at that ! you've got the same thing on both sides of the equation ! this means that it doesn't matter what value x is, the equation works for ALL values of x . ( ANSWER)

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What is the algebraic expression for this story problem?A tank is filling with water from a natural spring well. Two days ago the water was 10 feet deep, and yesterday the water was 12 feet deep. Assume that the water depth continues to rise at this same rate after today.

Answers

1. Give the algebraic expression of the given story:
=> A tank is filling a water from natural Spring.
=> 2 days ago water measured 10 feet deep
=> yesterday the water measured 12 feet deep
=> And the water rises the same amount each day. Algebraic expression is:
=> Since the filling of water in the tank is constant per day which means the water rises 2 feet per additional day.
=> let’s assign a variable for the number of days. Let’s have X
Now, let’s add the total of water depth 2 days ago until today.
=> 10(2 days ago) + 2(yesterday) + 2(today)
=> 14 feet
Then the algebraic expression would be:
=> 14 + 2x
where x is equals to the number of days that will pass.

What is the factored form of the polynomial?

x2 − 12x + 27?

Answers

Answer:

The factors of the expression in the question x² − 12x + 27 = 0 are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0 are (x - 9)(x -3) .

The factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

What is the factored form of the polynomial?

Given that;

x² - 12x + 27
Factored form = ?

First, we think of two numbers where their addition gives -12 and their multiplication gives 27.

-3 and -9 fits perfectly.

Hence we have;

x² - 12x + 27

( x-3 )( x-9 )

Therefore, the factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

Learn more about factorizations here: brainly.com/question/1863222

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The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

Answers

Because this triangle is isosceles, its legs are equal, so we can write using Pythagorean theorem

a² +a² = 10²
2a²= 10²
a² = 10²/2
a=√(10²)/√2 =10/√2 = 10√2/(√2√2)= 10√2/2 =5√2

a= 5√2 (inch)

Answer is 5√2 inches.

Answer:

10/√2

Step-by-step explanation:

PLS HELP. The cost of printing a flyer to spread knowledge of an organization that you run is a flat rate of $9 plus $0.05 per copy. Let C represent the total cost of printing and x represent the number of copies. Write in symbolic form an equation that will relate C and x. Organize the data into a table of values. Begin with 500 copies, increase by increments of 500, and end with 2500 copies. How much would it cost to print 2500 flyers and what equation would you use?

Answers

The cost of printing a flyer to spread knowledge of an organization that you run is a flat rate of $9 plus $0.05 per copy.

We are given the equation: $9.00+0.05x=C$

500 copies:

Equation - $9.00+0.05(500)=C$

1500 copies:

Equation - $9.00=0.05(1500)=C$

2500 copies:

Equation - $9.00=0.05(2500)=C$

$C = 9 + 0.05x = 2500$ flyers will cost $134

u would need to spend about 100-500 dollars on copies

I need to know what 85% of $6.99 plz help me!:(

Answers

85÷100=0.850.85×6.99=5.9415 is the answer

college administrator claims that 77% of college students purchase their books from the campus bookstore. you think this is inaccurate and form a random sample of 58 students at that college and find that 50 of them purchased their books from the bookstore. test the administrator's claim using a level of significance of 1%. what type of test will be used in this problem? a test for a proportion correct what evidence justifies the use of this test? check all that apply

Answers

Step-by-step explanation:

to get 56 u have to flip it then mutiplie

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