MATHEMATICS HIGH SCHOOL

Solve for y: R (6x-11)° (9y-19)° (4x+23)°

Answers

Answer 1

Answer:

Answer:

y = 12

Step-by-step explanation:

We first need to solve for x

(6x - 11)° and (4x + 23)° are vertically opposite angles and are congruent, so

6x - 11 = 4x + 23 ( subtract 4x from both sides )

6x - 4x - 11 = 4x - 4x + 23 ( simplify both sides )

2x - 11 = 23 ( add 11 to both sides )

2x - 11 + 11 = 23 + 11 ( simplify both sides )

2x = 34 ( divide both sides by 2 )

$(2)/(2)$ x = $(34)/(2)$ , that is

x = 17

Then

4x + 23 = 4(17) + 23 = 68 + 23 = 91

(9y - 19)° and 91 are a linear pair and sum to 180°

sum the 2 angles and equate to 180

9y - 19 + 91 = 180 ( simplify left side )

9y + 72 = 180 ( subtract 72 from both sides )

9y + 72 - 72 = 180 - 72 ( simplify both sides )

9y = 108 ( divide both sides by 9 )

$(9)/(9)$ y = $(108)/(9)$ , that is

y = 12

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There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?

Answers

Let the number of yellow cubes be x

Yellow Cubes = x

Blue Cubes = 3x

Green = 5 (3x) = 15x

Ratio : Yellow : Blue : Green = 1 : 3 : 15

P(Yellow) = 1/19

Answer: 1/19

Write all of the factors 12 and 18 have in common

Answers

Number 12 have factors 12 = ( 1,2,3,4,6,12)

Number 18 have factors 18= ( 1,2,3,6,9,18 )

According to this we can conlude that numbers 12 and 18 have in common (1,2,3 and 6).

Good luck!!!

2 and 6 can go into it evenly

True or False: For the depreciation formula, A = C(1 - r)t, the A value will always be greater than the C value.

Answers

Answer: False

"Depreciating" means "going down", so the value is decreasing. The value of A will always be smaller than C. For example, if the item is worth $100 today and it drops to $80, then it depreciates in value. In this example, C = 100 and A = 80 so A > C is false

Need help asap please. Promise I will give you brainliest. Find the missing values of x in the table

Answers

Final answer:

To find the missing x value in a table, one must understand the relationship or pattern between the numbers. This can involve operations like addition, subtraction, multiplication, or division. It's good practice to verify answers by plugging the x value back into the equation.

Explanation:

I understand you need help asap with understanding how to find the missing x in the table. It's quite essential to know the function rule or pattern that relates the missing value of x to other numbers in the table. Typically, some form of mathematical operation (addition, subtraction, multiplication, division or a combination of these) connects the numbers. Once we identify this operation or pattern, we can apply it to find the missing x values.

For example, if the pattern in the table is "add 3" then if y=5 and x is missing, you'll add 3 to 5, making x=8. Another example, the pattern is "multiply by 2", then if y=7 and x is missing, you'll multiply 7 by 2 making x=14.

It's always good to cross-verify your answer by plugging the x value back into the equation or pattern and see if it fits correctly. And don't worry about giving the brainliest; your understanding is more important!

Learn more about Finding x values here:

brainly.com/question/22866273

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A radio station gave away 108 tickets to a concert. They gave away 3 times as many tickets to listeners as they gave to employees. How many tickets did they give away to employees?

Answers

x=employees
(3)x=listeners

(3)x+x=108
3x+x=108
4x=108
X=108/4
X=27

What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?

Answers

The second term of this given geometric series is $(1)/(12)$

What is geometric series?

A geometric sequence's finite or infinite terms are added together to form a geometric series. The geometric series that corresponds to the geometric sequence a, ar, ar2,..., arn-1,... is a + ar + ar2 +..., arn-1 Clearly, "series" means "sum." The phrase "geometric series" refers specifically to the total of words with a common ratio between every adjacent pair of them. Finite and infinite geometric series are both possible.

Given a geometric series 1/4 + × + 1/36 + 1/108 +.....

In this series first term(a) = 1/4

second term(a₂) = x

Third term (a₃) = 1/36

ratio(r) = a₄ /a₃

ratio (r) = 1/3

The formula for the nth term of a geometric series is aₙ = arⁿ⁻¹ .....(1)

put these values in equation (1)

a₂ = $(1)/(4) *(1)/(3)$