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Gnom [1K]
3 years ago
9

What is 30=8+4(z-2) step by step?

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

30=8+4(z-2)

Distribute 4 through the parentheses

30=8+4z-8

Eliminate the opposites

30=4z

Swap the sides of the equation

4z=30

Divide both sides of the equation by 4

4z÷4=30÷4

Any expression divided by itself equals 1

z=30÷4

or write the division as a fraction

z=30/4

copy the numerator and denominator of the fraction

30=2x3x5

4=2x2

Write the prime factorization of 30

Write the prime factorization of 4

30=2          x3x5

4=2x2

    2

Line up the common factors in both lists

Copy the common factors

Since there is only one common factor, the common factor 2 is also the greatest common factor

30÷2/4÷2

  2

Divide 30 and 4 by the greatest common factor 2

15/4÷2

Divide the numbers in the numerator

15/2

Divide the numbers in the denominator

15/2

The simplified expression is 15/2

That's it. hope it wasn't too hard to understand?

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Ket [755]
<h3>Answer:</h3>

For each birdhouse built, the total cost increases by $3.50.

<h3>Step-by-step explanation:</h3>

Let's try some of the answers and see if they work.

The "initial cost" will be the cost when 0 birdhouses are built.

... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50

Then increasing the number of birdhouses by 1, the cost is ...

... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50

Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)

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Our exploration of the formula leads us to conclude ...

... For each birdhouse built, the total cost increases by $3.50.

5 0
2 years ago
Write the set of real numbers in interval notation. {x | x ≥ −8}
Vikentia [17]
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
8 0
3 years ago
What is the length of XPY in terms of pi?
Elis [28]
Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270 

Length XPY = 270/360 x 60π = 45π

Answer: 45π m
5 0
3 years ago
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I need help for number 22.
boyakko [2]
EHRP, EHFG, EFPQ  Does that make sense?
8 0
2 years ago
HELP MEEE!! What's the domain and range?
r-ruslan [8.4K]

Answer:

domain: [- ∞ , ∞]

range: (8 , -∞]

Step-by-step explanation:

- ∞ < x < ∞

y < 8

7 0
2 years ago
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