A decade ago, the average class size at Newton Middle School was 30 students. Now it is 30% smaller. What is the average class size currently?

Answer:

0.92727272727

Please vote for Brainliest and I hope this helps!

Answer:

38/22

Step-by-step explanation:

you multiply the first numbers and the last numbers and combine it

2/6 is the equivalent fraction for the fraction represented on the given number line. So, B is the correct option

What is an equivalent fraction ?

According to equivalent fractions, two or more fractions are considered to be equal if, following simplification, both provide the same fraction. Let's imagine that a/b and c/d are two fractions. If these fractions are simplified to produce comparable fractions, such as e/f, they are then equal to one another.

For instance, if we simplify 5/15, the resulting fraction is the same as 1/3, hence that is the equivalent fraction of 1/3.

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

as 2/6 can further reduced to 1/3 which is represented on to the number line  as 1/3 which is equal to 2/6

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The difference of given decimal numbers is (12.504, 12.495).

Given that, (13.4-0.896, 8.4+4.095).

Subtracting decimals:

1. Write down the two numbers, one under the other, with the decimal points lined up.

2. Add zeros so the numbers have the same length.

3. Then subtract normally, remembering to put the decimal point in the answer.

Here,

13.4-0.896 =12.504

8.4+4.095 =12.495

So, (13.4-0.896, 8.4+4.095) =(12.504, 12.495)

Hence, the difference of given decimal numbers is (12.504, 12.495).

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Answer:

D.)

Step-by-step explanation:

1.) Expand the expression with distributive property. If we expand, we get 10x^2+6xy.

2.) Figure out m and n based on the expression. Since m is in front of the x^2, that means that m=10, and since n is in front of the xy, that means that n=6.
3.) Compute based on m and n. Since m is 10 and n is 6, m - n = 10 - 6 = 4. Therefore, D.) is the answer.

The option that is not a pair of equivalent fractions for 5/8 and ½ is C. 3/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left.

It should be noted that 3/8 is not an equivalent fraction. Therefore, the correct option is C.

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Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left. What is NOT a pair of equivalent fractions for 5/8 and ½.

10/16

3/6

3/8

5/10

Step-by-step explanation:

this is the same principle in every posted question.

I hope you understand this now.

if not please let me know what is still a "riddle" to you, so that I can explain it better.

remember, the inverse function of y = e^x is x = ln(y).

and the inverse function of y = ln(x) is x = e^y.

we want to find the value of x, where f(x) = 28.

28 = 0.48ln(x + 2) + 27

1 = 0.48ln(x + 2)

1/0.48 = ln(x + 2)

e^(1/0.48) = x + 2

x = e^(1/0.48) + 2 = 10.03119499... miles ≈ 10 miles

the pressure of 28 inches of mercury occurs about 10 miles from the eye of the hurricane.

The equations of the system would be 6x - 4y = 3 and 2x + 4y = -2.

What is the system of linear equations in matrices?

A system of linear equations in matrices is a set of linear equations that can be expressed in matrix form. In this form, the equations are written as a matrix equation of the form Ax = b, where A is an m × n matrix of coefficients, x is an n × 1 matrix of variables, and b is an m × 1 matrix of constants. The solution to the system of equations can be found by solving for the matrix x using the matrix equation Ax = b. This can be done using various techniques, such as Gaussian elimination or matrix inversion. Matrix equations can be used to solve systems of linear equations for which the traditional algebraic methods are difficult or impossible.

We can prepare the equations as:

Equation 1: 6x - 4y = 3

Equation 2: 2x + 4y = -2

Hence, the equations of the system would be 6x - 4y = 3 and 2x + 4y = -2.

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Answer:

3,11

Step-by-step explanation:

Since y = 2x + 5, if you chose (x,y) (3,11):

11 = 2*3 + 5

11 = 6 + 5

11 = 11

Answer:

(3, 11 ) is a solution

Step-by-step explanation:

substitute the x- coordinate of the points into the equation and if the value of y obtained equals the y- coordinate then the point is a solution.

(5, 20 )

y = 2(5) + 5 = 10 + 5 = 15 ≠ 20 ← not a solution

(6, 12 )

y = 2(6) + 5 = 12 + 5 = 17 ≠ 12 ← not a solution

(3, 11 )

y = 2(3) + 5 = 6 + 5 = 11 ← solution

(4, 14 )

y = 2(4) + 5 = 8 + 5 = 13 ≠ 14 ← not a solution

Over the course of many​ games, one would expect the mean number of hits per game to be the mean of the random variable.

What is Mean?

A group of two or more numbers is simply averaged mathematically to get the term "mean." There are several ways to calculate the mean for a given collection of numbers, including as the arithmetic mean approach, which utilises the sum of the series' values, and the geometric mean method, which uses the average of a group of products. However, the majority of the time, the results from all of the main approaches to calculating a simple average are roughly the same.

There are two different types of means that can be calculated: the arithmetic mean and the geometric mean.

The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of numbers in the set.

Mean is the ratio of sum of observations to the total number of observation.

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The distance between the mirrors A and C is 80 m.

The Pythagoras theorem tell the relation between the sides of a right triangle, in this we relate the hypotenuse to the other two sides of the triangle, mathematically expresses as- (hypotenuse)² = (Side1)²+(Side)²

Given that, Bill performed a show by placing three mirrors A, B and C in right triangular form, the distance between A and B is 20 m more than the distance between A and C, and the distance between B and C is 20 m less than the distance between A and C,

Let the distance between A and C be x,

AC = x

AB = x+20

BC = x-20

Using Pythagoras theorem,

AB² = AC²+BC²

x²+(x-20)² = (x+20)²

x²+x²+400-4x = x²+400+40x

x²-80x = 0

x(x-80) = 0

x = 0 or x = 80  (Neglecting x = 0 because distance between two sides of a triangle can't be 0)

Hence, The distance between the mirrors A and C is 80 m.

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Answer:

AAS

Step-by-step explanation:

BECAUSE OF THE QUESTION

ITS GIVEN IN QUESTION

it's congruent

Answer:

75

Step-by-step explanation:

y² + 5y + 9

since y = 6 we will just substitute for y

= (6)² + 5(6) + 9

= 36 + 30 + 9

= 66 + 9

= 75

i hope this helps

Answer

I think the number is -16, hope this helps!

Answer: the number is -12

Step-by-step explanation:

x-2=-14

x=-12

The cycle originally cost $120, and he made a $60 profit by selling it for $163 with a $17 helmet.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

Here,

The cost of bicycle=$163

Cost of helmet=$17

Total cost,

=163+17

=$180

Let the original cost be c,

180=150%*c

180=1.5c

c=$120

He made a profit,

=180-120

=$60

The original cost of cycle was $120 that he sold in $163 with the helmet of $17 making a profit of $60.

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Answer:

Just about 50%, depending on if the data set is a odd or even number

Step-by-step explanation:

At 45, is the median value. The median of a box plot is not necessarily 50% of the data. The median is the middle value in a dataset, or the value that divides the data into two equal halves. If the dataset has an odd number of values, the median will be one of the values in the dataset. If the dataset has an even number of values, the median will be the average of the two middle values.

Answer:

y/2

y*2

y-2

y+2

y%2

y^2

      Algebraic Expression Types

     There are three different categories for algebraic expressions. As               follows:

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"y/2," "y*2," "y-2," "y+2," "y%2," and "y". Constants, coefficients, and variables make up the three main parts of an algebraic expression.

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Answer:

[tex]\huge\boxed{\sf b = -3}[/tex]

Step-by-step explanation:

-3(3 + 6b) = 36 - 3b

Distribute

-9 - 18b = 36 - 3b

Add 3b to both sides

-18b + 3b - 9 = 36

-15b - 9 = 36

Add 9 to both sides

-15b = 36 + 9

-15b = 45

Divide -15 to both sides

b = 45/(-15)

[tex]\rule[225]{225}{2}[/tex]

Answer:

The value of b is -3.

Step-by-step explanation:

The equation is,

→ -3(3 + 6b) = 36 - 3b

Now the value of b will be,

→ -3(3 + 6b) = 36 - 3b

→ -3(3) - 3(6b) = 36 - 3b

→ -9 - 18b = 36 - 3b

→ -18b + 3b = 36 + 9

→ -15b = 45

→ b = -(45/15)

→ [ b = -3 ]

Hence, the value of b is -3.

j(m) = 2ᵐ ⁻ ¹

for functions you will replace the number in the brackets with the letter! so:

j(4) = 2⁴ ⁻ ¹

= 2³

= 8

Answer:

x = -18

Step-by-step explanation:

Please tell me If I am wrong..

5 x 2 = 10 = numerator.

-9 x 2 = ? = denominator

? = -18

-9 x 2 = -18…

Follow me please. The answer is -18

Answer:

  y = -4/9x

Step-by-step explanation:

You want the equation of the line through (0, 0) and (9, -4).

A line through the point (0, 0) represents a proportion. The slope of the line is the constant of proportionality, the ratio of y to x.

  k = y/x = -4/9

The equation of the line is ...

  y = kx

  y = -4/9x

Answer:

If the local office supply store sells 5 packs of paper, it also sells 8 packs of envelopes. This means that the store sells 8 packs of envelopes for every 5 packs of paper.

If the store sells 15 packs of paper, it will sell 15 packs of paper * (8 packs of envelopes / 5 packs of paper) = <<15*(8/5)=24>>24 packs of envelopes.

Therefore, if the local office supply store sells 15 packs of paper, it will sell 24 packs of envelopes.

The required sum is given as 6n + 12.

Integers can be defined as the set of counting numbers and their negative values along with zero. An integer can be written in the form of a fraction by writing the denominator as 1.

The given problem can be solved as follows,

The consecutive three even integers greater than 2n can be written as,

2n + 2, 2n + 4 and 2n + 6

Now, the sum of these integers are given as follows,

2n + 2 + 2n + 4 + 2n + 6

= 6n + 12

Hence, the sum of the next three consecutive even integer greater  than 2n is given as 6n + 12.

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The Quadratic Equation [tex]3x^{2}-13x+6[/tex]  divided by [tex]x-4[/tex] for all the values of the x(except x=4).

Let us consider [tex]3x^{2}-13x+6[/tex] as equation→(1) of a Quadratic Equation assume some values for x which is satisfies the equation and doesn't satisfy equation by "hit and trail method".

x=1 substitute in the equation (1) we get    ⇒  [tex]\frac{4}{3}[/tex]

x=2 we get [tex]3(2)^{2}-13(2)+6[/tex]    [tex]=4[/tex]

x=4 we get[tex]3(4)^{2}-13(4)+6[/tex]    ⇒    [tex]\frac{2}{0}[/tex] which is not defined.

x=6 we get [tex]3(6)^{2}-13(6)+6[/tex]      [tex]= 12[/tex]

x= -2 we get [tex]3(-2)^{2}-13(-2)+6[/tex] ⇒[tex]\frac{22}{-3}[/tex]

And so on for the remaining values of x the equation will satisfy. Except  for the value x= 4 the equation doesn't satisfy because if we substitute x=4 in x-4 we get 4-4 =0 anything divided by zero is not defined.

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Divide [tex]3x^{2}-13x+6 by x-4[/tex]

let additive inverse of it is y

So, y + (-9x+3) = 0

y = 9x-3

The dimension of the square piece of paper is 6 inches.

A rectangular piece of paper is twice as long as a square piece and 3 inches wider.

The area of the rectangular piece is 108 in².

A square has all its side equal to each other and a rectangle has two opposite sides equal to each other.

Therefore,

let

x = length of the square

Therefore,

length of rectangular piece = 2x

width of the rectangular piece = 3 + x

Therefore,

area of the rectangular piece = lw

where

Therefore,

area of the rectangular piece = 2x(3 + x)

area of the rectangular piece = 6x + 2x²

108 = 6x + 2x²

2x² + 6x - 108 = 0

divide through by 2

x² + 3x - 54 = 0

x² - 6x + 9x - 54 = 0

x(x - 6) + 9(x - 6) = 0

(x + 9)(x - 6)

Therefore, we can only use positive numbers.

Hence,

x = 6

Therefore,

dimension of the square piece is 6 inches.

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Answer: 20ft - 6ft

Step-by-step explanation:

The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233.. .

What is Fibonacci sequence?

One of the most well-known mathematical formulae is the Fibonacci sequence. Each number in the Fibonacci sequence is calculated by adding the two numbers that came before it. Typically, the Fibonacci series' first two terms are 0 and 1. Hundreds of years before Leonardo Pisano Bigollo was even aware of it, the Fibonacci sequence was well-known in India. Because the date November 23 contains the numbers "1, 1, 2, 3," which are a part of the sequence, it is recognized as Fibonacci Day.

The Fibonacci sequence is as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946,….

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