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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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PLS SOMEONE HELP ME ASAP
babymother [125]

Answer:

A. (2i)(8) = d. 16i

B. 16i³ = b. -16i

C. (2i)⁴ = a. 16

D. (2i)(8i) = c. -16

Step-by-step explanation:

A. Multiply 2i by 8 to get 16i, which corresponds to d.

B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.

C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.

D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.

8 0
3 years ago
Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-s
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Answer:

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when there is no fixing cost:

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when there is fixing cost (0ne time): 12x-(1400+135)

the graph shift down 135 units

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A vehicle uses 2 1/4 gallons of gasoline to travel 16 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
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