MATHEMATICS HIGH SCHOOL

Ten plus eight times a number a equals eleven times another number d minus six solve for a

Answers

Answer 1

Answer:

Answer:

$a=(11d-16)/(8)$

Step-by-step explanation:

We have been given a word phrase. We are asked to write an equation and solve for 'a'.

Eight times the number 'a' would be $8a$ .

Ten plus eight times a number 'a' would be $10+8a$ .

Eleven times another 'd' would be $11d$ .

Eleven times another 'd' minus six would be $11d-6$ .

Equate both expression:

$10+8a=11d-6$

$10-10+8a=11d-6-10$

$8a=11d-16$

$(8a)/(8)=(11d-16)/(8)$

$a=(11d-16)/(8)$

Therefore, the value of 'a' is $(11d-16)/(8)$ .

Answer 2

Answer: So your equation would be 8a+10=11d-6First: you would combine like terms so normally you would take away the smaller number. So to cancel out the negative 6 you added you add positive six to the negative 6 so you would get 0 and whatever you do to one side you have to do to the other so you would do 10 + 6. Your new equation would be 8a+16=11d. Now you do -16 to both sides. So your new equation would be 8a= 11d - 16. Now you divide by 8. So your final equation would be a=11d-2.

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Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel

Answers

Answer:

i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.

Step-by-step explanation:

Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.

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and

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Answer:

Literally, parallel lines are lines that extend in both directions without meeting.

The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws

Step-by-step explanation:

Rachel

The definition implies that two lines are said to be parallel if they are both perpendicular to another line.

This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.

Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.

Alex

Alex's definition is correct, and it has no drawback because the definition can be applied to concepts where parallel lines are used.

Briana

Here, Brianna introduced the concept of slopes.

Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.

What do 20-(12+6) equal

Answers

Answer:

Step-by-step explanation:

Since the 12 + 6 are parenthesis, we do these first

12 + 6 = 18

Then will solve the rest, 20 - 18

20 - 18 = 2, therefore leaving us with the answer of 2

Which expression is a difference of cubes?
X^6-6
X^6-8
x^8-6
X^8-8

Answers

Answer: The correct expression is, $x^6-8$

Step-by-step explanation:

$x^6$ is represented in cube form as, $(x^2)^3$

'8' is represented in cube form as, $2^3$

$x^8$ and '6' will not show cube form of integer power.

The expanded form of the given expression, $x^6-8$ is represented as,

$x^6-8=(x^2)^3-2^3$

This expression will showing the difference of cubes.

And the other options, $x^6-6,x^8-6,x^8-8$ will not show the difference of cubes.

Therefore, the correct answer is, $x^6-8$

The expression $\boxed{{x^6} - 8}$ is a difference of cubes. Option (b) is correct.

Further Explanation:

The cubic formula can be expressed as follows,

$\boxed{{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right)}$

Given:

The options are as follows,

(a). ${x^6} - 6$

(b). ${x^6} - 8$

(c). ${x^8} - 6$

(d). ${x^8} - 8$

Calculation:

8 is a cube of 2 and can be written as follows,

$8 = {2^3}$

${x^6}$ can be written as a cube of ${x^2}.$

${x^6} = {\left( {{x^2}} \right)^3}$

Use the identity ${a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right)$ in above expression.

$\begin{aligned}{x^6} - 8&= {\left( {{x^2}} \right)^3}- {\left( 2 \right)^3} \n&= \left( {{x^2} - 2} \right)\left( {{x^4} + 2{x^2} + 4} \right)\n\end{aligned}$

The expression $\boxed{{x^6} - 8}$ is a difference of cubes. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: Solution, factorized form, $x^12y^18+1$ , exponents, power, equation, power rule, exponent rule.

A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.

Answers

If H represents the tome teams tickets and V represents the visiting teams then it would be v+h(5)=52,000.
V= 8,667 tickets
H= 43,333 tickets

Plug in method?I am trying to use the plug in method and I did that but then was not sure how to solve the problem after plugging in numbers.

Answers

Well, the picture is cut off below choice-C, and the whole thing is
very confusing to try and read because of trying to do all of your
work in the holes and spaces around the choices. So I'm just
going to ignore all of that, take the question, and work with it.

-- price of one book = k
-- total income if 1 book is sold = 1 · k
-- total income if 2 books are sold = 2 · k
-- total income if 100 books are sold = 100 · k

-- number of books for sale = 2b
-- total income if they're all sold = 2b · k
-- actual number that were sold = (2b - y)
-- actual total income = (2b - y) · k

You don't start with plugging in numbers. This is just testing whether you can find the right equation to plug numbers into.

the equation would be k(2b-y): he has 2b books, they sell for k each--> k*2b, but y books did not sell for k, so it's now k(2b-y)

the answer is A but I hope you understand the process now.

Nobody Knows the Answer HELP !!!!! Pleaseeeeeeeeee CLICK & Help Me Solve !!!!!!!!!

Answers

There are 10 total marbles and three are pink. So you are to determine the probability of choosing a pink marble, placing it back in the bag and choosing another pink marble.
The probability of choosing a pink marble is # of pink marbles to # of all marbles which is 3/10. Since we place the marble back in the bag, the probability is the same for the second time.
To determine the probability of both occurrences, we need to multiply 3/10 x 3/10 which is 9/100. This can be written as 9:100 as a ratio.

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