Which of the following shows 12 more than a number, written as an algebraic expression?
A. 12-n
B.12+n
C.n-12
D.12n​

Answer:

0.3

Step-by-step explanation:

 2.1

-1.8

---------

0.3

Answer:

x = -2

Step-by-step explanation:

-12 = 1/2(6x - 12)  Multiply everything inside the parentheses by 1/2

-12 =1/2(6x) - (1/2)(12)

-12 = 3x - 6  Add 6 to both sides of the equation

-6 = 3x  Divide both sides by 3

-2 = x

Check:

Plug -2 in for x and see if statement is true

-12 = 1/2(6x - 12)

-12 = 1/2[(6)(-2) - 12]  Simplify inside the brackets

-12 = 1/2(-12 -12)

-12 = 1/2 (-24)

-12 = -12

Answer

the box that is lebeled 6 is quadrant 1 and the one beside it is quadrant 2 and the one labeled 8 is the third and the last is quadrant 4

Step-by-step explanation:

so like this- go to this link i drew it for you

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

The given equation is:

3x + 7 = -2

Collect like terms:

"7" crosses the equal to sign to the right and becomes "-7"

The equation then becomes

3x = -2 - 7

3x = -9

Divide both sides by 3

3x / 3 = -9/3

x = -3

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer:

don't know SORRY but I will try it

48 : 30 = 24 : 15

            = 8 : 5

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation:

portion of square empty =  256 - 153.86 = 102.14cm^2

Answer:

1) 1/4  3/4  7/8

2) 3/10  1/2  4/5

3) 1/2  2/4  7/8

4) 2/3  4 1/4  5 1/6

Step-by-step explanation:

It's kind of blurry so yeah

Answers and Step-by-step explanations:

(Important:) Before we solve this equation, it is important to know that the larger the denominator is, the smaller the number's value is (unless it is rounded or simplified and ends up being a greater amount, such as 40/50 = 8/10, which is greater than 3/10). It may be confusing, but I'll explain as we go on.

1.) As I mentioned before, the bigger the denominator; the less it's value. In this situation, 1/4 would be the smallest. The fraction 3/4 is greater than 1/4. But because 7/8 is is greater than 3/4, because 6/8 equals 3/4. The fraction 7/8 is greater than 6/8, therefore making 7/8 being the greatest fraction. So, least to greatest looks like this:

1   3  7

4  4  8

2.) In this problem, 3/10 would be the smallest number given, because 1/2 and 4/5 are greater than this value. For this problem though, it requires several steps. The fraction 4/5 is equal to 8/10, and the fraction 1/2 equals 5/10. And yes, I know that I had mentioned that a larger denominator has less value than a smaller one, but remember what I had also said: that "unless it is rounded or simplified and ends up being a greater amount," then it is more than the smaller denominator. So least to greatest looks like this:

3    1   4

10  2  5

______________________________________________

I can answer the rest, but they are very hard to see. Can you please edit your post with a little bit of a better picture of the last two problems so that they are easier for me to see and answer? I would like to help you answer the rest, so if you could do that that would be helpful.

I hope what I wrote so far is helpful, I look forward to your reply.

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

The value of the rational expression when x is equal to 4 is 2. The correct answer is option C: 2.

To find the value of the rational expression (x - 12)/(x - 8) when x is equal to 4, we substitute x = 4 into the expression:

[(4) - 12]/[(4) - 8]

Simplifying the numerator and denominator:

(4 - 12)/(-4)

Further simplifying the numerator:

(-8)/(-4)

Now, we can divide -8 by -4:

(-8)/(-4) = 2

So, when x is equal to 4, the value of the rational expression is 2.

Therefore, C is the right response.

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About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

Let x be the number of guppies Percious can purchase.

We know that the total cost of the goldfish, starfish and guppies is less than or equal to $80.

We can use this information to write an inequality:

32 + 12 + 6x <= 80

This inequality represents the total cost of the goldfish, starfish, and guppies.

By solving this inequality we can find the number of guppies Percious can purchase.

To solve this inequality, we can first simplify it by combining like terms:

44 + 6x <= 80

Then we can subtract 44 from both sides:

6x <= 36

And finally, we divide both sides by 6:

x <= 6

So, Percious can purchase a maximum of 6 guppies if she wants to spend all of her money.

x is less than or equal to 6.

Step-by-step explanation:

Let x be the number of guppies Percious can purchase.

We know that the total cost of the goldfish, starfish and guppies is less than or equal to $80.

We can use this information to write an inequality:

32 + 12 + 6x <= 80

This inequality represents the total cost of the goldfish, starfish, and guppies.

By solving this inequality we can find the number of guppies Percious can purchase.

To solve this inequality, we can first simplify it by combining like terms:

44 + 6x <= 80

Then we can subtract 44 from both sides:

6x <= 36

And finally, we divide both sides by 6:

x <= 6

So, Percious can purchase a maximum of 6 guppies if she wants to spend all of her money.

x is less than or equal to 6.

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  （＾▽＾）

Whats the total package cost of the pond and he said he would have to be full of Candy :')

we learned this in our lower i dont remember exactly but i think~

the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number

Answer:

1/2

Step-by-step explanation:

n(E) = 9

n(S) = 18

p(E1) = \(\frac{n(E1)}{n(S)}\)

=9/18

=1/2

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

The value of the angle is 120°.

The corresponding angle of a given angle refers to the angle in a congruent position in another figure. For example, if two lines intersect, the angle formed at one vertex of the intersection is called a vertex angle. The corresponding angle in the other figure is the angle in a congruent position, meaning that it has the same measure.

We are given two lines to be parallel

Hence the angle adjacent to x is 40°

Now Sum of All three angle is 180° (Angles in linear pair)

Hence we have

40 + x + 20 = 180°

x = 120°

Hence the measure of angle x is 120°

Given below is sample of Angles in linear pair please refer the link

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The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

Answer:

-2,-5 is the value. The correct Answer

0.48

Step-by-step explanation:

to increase an amount by 48%

you divide 48 with 100 to find the multiplier

which is 0.48

multiply 0.48 to an number to find 48%

D should be your answer :)

Answer:

5/9

Step-by-step explanation:

What we have here is the reciprocal of (9/5).  Inverting (9/5) results in (5/9), which is the desired result.

if any doubt leave a comment

Answer:

30 x z

Step-by-step explanation:

Answer: 30 x z

Step-by-step explanation:

Answer:

The side length is 62 meters

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

3844 m^2 = s^2

Take the square root of each side

sqrt( 3844 m^2) = sqrt(s^2)

62 m= s

The side length is 62 meters