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earnstyle [38]
3 years ago
10

What is the solution to this equation 6(x-3)=3x+9

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Your answer would be x = 9.

We can get this by first expanding the bracket 6(x - 3) and then solving:

6(x - 3) = 3x + 9

6x - 18 = 3x + 9

- 3x

3x - 18 = 9

+ 18

3x = 27

÷ 3

x = 9

I hope this helps!

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Answer:

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3 years ago
A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during th
mart [117]

Answer:

72%

Step-by-step explanation:

Start by turning both percentages into decimals.  To do this take the percent and divide it by 100.  So, 60% = 60/100 or .6 and 80% = 80/100 or .8.

Next the student has already completed 20 quizzes.  So, 50-20=30 remaining quizzes.

Quizzes already taken:

.6*20

= 12 passed quizzes.

The remaining quizzes for the school year:

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So, Finally add them both together and divide by the total amount of quizzes:

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Now to convert it back into a fraction you multiply the decimal by 100.

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4 0
3 years ago
Read 2 more answers
An unprepared student makes random guesses for the ten​ true-false questions on a quiz. Find the probability that there is at le
hoa [83]

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em>P(x\geq1)=1-P(x</em>

<em />

<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>

<em />

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

P(x\geq1)=1-(\frac{1}{2})^{10}=0.999

So the answer is 0.999 (rounded to nearest thousandth)

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Place the steps for finding f -1(x) f(x)=2x+5
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Answer:

f^{-1}(x) = \frac{x-5}{2}

Step-by-step explanation:

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Step 1) Replace y = f(x)

y = 2x+5

Step 2) Exchange x and y

x =2y+5

Step 3) Solve for y

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x - 5= 2y

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Dividing both sides by 2

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Step 4) Replace y = f^{-1}(x)

f^{-1}(x) = \frac{x-5}{2}

3 0
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