MATHEMATICS HIGH SCHOOL

How many solutions are there to the equation below 6x+15=6(x+3)

Answers

Answer 1

Answer:

Answer:

The equation has Zero solution.

Step-by-step explanation:

Consider the provided equation.

$6x+15=6(x+3)$

Apply the distributive property: $a(b+c)=ab+ac$

$6x+15=6x+18$

Now isolate the variables by subtracting 6 from both the sides.

$6x+15-6x=6x+18-6x$

$15=18$

Which is not true.

Hence, the equation has no solution or the equation has Zero solution.

Answer 2

Answer: 6x + 15 = 6 (x + 3)

6x + 15 = 6x + 18

6x = 6x + 3

0 = 3

So, there are no solutions to this equation.

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A container contains balls numbered from 1 through 55. A ball is drawn randomly and replaced. Then a second ball is drawn randomly. What is the probability that the first ball is number 9 and the second ball is number 41?

Answers

Answer:

1/3025

Step-by-step explanation:

Prob. of getting a 9 is 1/55; likewise for 41. multiply the 2 probs. together. (1/55)^2=1/3025≈0.00033057851

Final answer:

The probability of drawing ball number 9 first and then drawing ball number 41 from a container of balls numbered 1 to 55, with replacement is 1/3025.

Explanation:

The question pertains to the field of probability in Mathematics. It is asking for the probability of first drawing ball number 9 and then drawing ball number 41 from a container that contains balls numbered from 1 to 55. Since the ball is replaced after the first draw, the total number of possibilities remains the same for both draws. Therefore, the individual probability of drawing either one of those balls at a certain draw is 1/55.

Given that these are independent events, we multiply the probabilities. Hence, the probability of drawing ball number 9 first and then drawing ball number 41 is: P(9 and 41) = P(9) x P(41) = (1/55) x (1/55) = 1/3025.

Learn more about Probability here:

brainly.com/question/32117953

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Log3/5 25/9=x-2 ? algebra 2

Answers

$log_{ (3)/(5) } (25)/(9) =x-2\n\nlog_{ (3)/(5) } ((3)/(5))^(-2) =x-2\n\n-2=x-2\n\n-x=-2+2\n\n-x=0\n\nx=0$

$log_{(3)/(5)}\left((25)/(9)\right)=x-2\n ((3)/(5))^(x-2)=((3)/(5))^(-2)\n \n x-2=-2\n \n \boxed{x=0}$

when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft above the ground. About how long is ladder?

Answers

35 feet i think i’m not sure

Solve:
3(x - 2) = 18

Answers

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

= 8

Step-by-step explanation:

Hope this helps? :))

$\large\tt Step-by-step~explanation:$

To solve for x, we have to isolate the variable.

$\tt Step~1:$

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

$\tt 3*x=3x\n3*-2=-6\n3x-6=18$

$\tt Step~2:$

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

$\tt 3x-6(+6)=18(+6)\n3x=24$