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Gnesinka [82]
3 years ago
15

Use the drop-down menus to choose steps in order to correctly solve 5(z + 6) – 2 = 9z for z.

Mathematics
2 answers:
shusha [124]3 years ago
5 0
Solve for z:
5 (z + 6) - 2 = 9 z

5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z

Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z

Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z

5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z

9 z - 9 z = 0:
28 - 4 z = 0

Subtract 28 from both sides:
(28 - 28) - 4 z = -28

28 - 28 = 0:
-4 z = -28

Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)

(-4)/(-4) = 1:
z = (-28)/(-4)

The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
z = (-7)/(-1)

(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer:  z = 7
sdas [7]3 years ago
5 0

Answer:

Drop Down 1: 5z+28=9z

DD #2: 28=4z

DD #3: 7=z

Step-by-step explanation:

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One positive integer is 2 less than another. the product of the two integers is 24. what are the integers?
ehidna [41]

Answer:

The numbers are 6 and 4

Step-by-step explanation:

Let x = integer

The second is x-2

Product of x*(x-2)  is 24

x(x-2) = 24

Distribute

x^2 -2x =24

Subtract 24 from each side

x^2 -2x -24 =24-24

x^2 -2x-24 =0

Factor

What two number multiply together to give 24 and add to -2

-6*4= -24

-6+4 = -2

(x-6) (x+4) =0

Using the zero product property

x-6 =0    x+4 = 0

x=6      x=-4

The question states the number is positive

x=6

The second number is x-2 = 4

The numbers are 6 and 4


8 0
4 years ago
Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. F
kaheart [24]
By saying jane is 1/3 of harvey then J=1/3 H
by removing J and adding the new quantity we git u will got the answer

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
sergij07 [2.7K]

Hi There!

Answer:

C) 1/2 (x+5) = 36

Step-by-step explanation:

Multiply 2 too both sides:

1/2 * 2 (x + 5) = 36 * 2

(x + 5) = 72

Subtract 5 too both sides:

x + 5 - 5 = 72 - 5

Simplify:

x = 67

Hope This Helps :)

4 0
3 years ago
Read 2 more answers
Order from least to greatest
Damm [24]

7.038,7.38,7.3841,7.7

7 0
3 years ago
Hannah and James are married. Every Saturday they take turns to clean their apartment. Hannah cleans it
Ipatiy [6.2K]

Answer:

4 hours

Step-by-step explanation:

I found the average

(3+5)/2

8/2 = 4

This is probably wrong because logically it wouldn't make sense for them to take longer than 3 hours if two people are cleaning but i dont know

4 0
3 years ago
Read 2 more answers
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