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Lady bird [3.3K]
2 years ago
14

Solve the following equation 6x-3=4z+9

Mathematics
2 answers:
Pie2 years ago
8 0

Answer:

z=1.5

Step-by-step explanation:

Simplifying

6z + 3 + -4z = 9

Reorder the terms:

3 + 6z + -4z = 9

Combine like terms: 6z + -4z = 2z

3 + 2z = 9

Solving

3 + 2z = 9

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 2z = 9 + -3

Combine like terms: 3 + -3 = 0

0 + 2z = 9 + -3

2z = 9 + -3

Combine like terms: 9 + -3 = 6

2z = 6

Divide each side by '2'.

z = 3

Simplifying

z = 3

astra-53 [7]2 years ago
8 0
6386 thank you very much
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Mr. Kovich is preparing materials for a craft project. He needs to cut 2 meters of string into pieces that are 0.2 meters long.
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2 years ago
Joel biked 9 miles east and 12 miles north. If he biked back to his starting point using the most direct route, how many miles w
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3 years ago
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The probability of getting a head when a biased coin is tossed is . The coin is tossed three times. Find the following probabili
S_A_V [24]

Answer:

a) P(three tails) = \frac{1}{8}

b) P(two tails followed by one head) = \frac{1}{8}

Step-by-step explanation:

coin is tossed three times so, outcome is

HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.

Hence sample space will be

S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}

chance of getting three tails is '1' i.e. TTT

hence,

P(three tails) = \frac{1}{8}

two tails followed by one head is TTH

so, chance of getting that outcome is also '1'

hence,

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6 0
2 years ago
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

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Taking the square root of each side

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We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

8 0
3 years ago
Read 2 more answers
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