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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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4 0
2 years ago
The sum of Cathy's and Tony's ages is 65. Eight years ago, Cathy's age was 2/5 of Tony's age. How old are they now?
Viktor [21]
Let
x------> Cathy's<span> ages
</span>y------> Tony's ages

we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2

substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43

the answer is
Cathy's ages is 43 years 
Tony's ages is 22 years

7 0
3 years ago
101 ÷ 10³? THANKS!!​
Amiraneli [1.4K]

Answer:

0.101

Step-by-step explanation:

101  ÷ 10 x 10 x 10

101  ÷ 1000

0.101

5 0
2 years ago
Did I get this correct
saveliy_v [14]

Answer:

Yep

Step-by-step explanation:

7 0
2 years ago
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