Which equation shows the substitution method being used to solve the system of linear equations?



x – y = 7

x = y + 3



A.


(y + 3) – y = 7


B.


x – (y + 3) = 7


C.


x – y = y + 3


D.


x = (7 – x) + 3

The number of teams Ms.Morris can make would be 5-students groups.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that there are 25 students in Ms.Morris's class. She wants to divide the class into 3,4,or 5 equal teams with all students on a team.

If Ms. Morris wants to divide all the students in 3, 4 or 5 equal teams, then apply a division to know the number of students per group.

If she makes 3-students groups, it would be;

25/3

If she considers 4-students groups, then it would be;

25/4

Thus, it can be seen that she cannot divide a students in parts to have equal groups.

Therefore, she has to make 5-students groups,

25/5 = 5

This means that she can make groups of 5 students each, and she would have equal groups.

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The total number of dogs and cats in the animal shelter is 25. We get this by dividing the number of puppies, which represent 28% of the population, by 0.28.

To figure out the total dog and cat population in the animal shelter, we need to use the information given to us: the puppies, which make up 28% of the total population, number 7. To get the full population, we need to think of these 7 puppies as representing 28%. The way to get the total is to divide the number of puppies by the percentage they represent. Express 28% as a decimal and divide:

7 / 0.28 = 25

So there are 25 dogs and cats in the animal shelter.

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In  order to raise $100, Bo should charge $5 for each game. In mathematics, "at least one" refers to one or more.

He provided the least amount of money of any donor, whether in size, quantity, degree, etc. lowest in importance, standing, or consideration. noun. The smallest possible quantity, degree, or other attribute.

In mathematics, "at least one" refers to one or more. It is frequently employed when existence can be proved but there is no way to know how many possible solutions there are.

Given ,

Let x represent the lowest price per video game.

The number of games available is 23.

Selling video games will need to raise $100 as the minimum amount.

The necessary inequality follows:

total number of games need minimum sum

i.e.[tex]23x\geq 100[/tex]

23 divided by both sides gives us

[tex]x\geq 4.24782608696[/tex]≈5

So, in order to raise $100, Bo should charge $5 for each game.

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Answer and explanation;

If we choose two whole numbers; 8 and 10

We want to divide certain numbers by 8 and 10 to get 9 remainder 5.

In this case; 77 divided by 8 is equal to 9 rem 5

and 95 divided by 10 is equal to 9 rem 5

To justify which is greater, we use decimal division;

= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)

and

= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)

Therefore; the first case is greater since 9.625 is greater than 9.5

That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.

The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations [tex]{\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}[/tex]

Numbers in mathematics can be divided into several terms

numbers consist of positive, negative and 0 numbers

numbers consisting of positive numbers, starting with number 1

a number consists of positive numbers and zeros

numbers that can only be divided by numbers themselves and the number 1

And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.

Integers themselves consist of

the number to the right of the number 0 is 1,2,3 ...

the numbers to the left of the zeros are -1, -2, -3 ...

n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values ​​of n that can be entered to form a pattern

pattern = -7, -6, -5, -4, -3, -2, -1, ...

pattern = -3, -2, -1, ...

pattern = -4, -3, -2, -1, ...

pattern = -2, -1,1,3, ....

Express 0.000431 L answer as an integer

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type of number

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Classify the number as a natural, whole, integer, rational, or irrational.

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Keywords: natural, whole, integer, prime, number

The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]

Further explanation:

Given:

The rule is [tex]\left( {n - 4} \right).[/tex]

Explanation:

If n takes the value of natural numbers.

Substitute 1 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n - 4&= 1 - 4\\&=- 3\\\end{aligned}[/tex]

Substitute 2 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n- 4&= 2 - 4\\&= - 2\\\end{aligned}[/tex]

If [tex]n[/tex] takes the value of whole numbers.

Substitute 0 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]

[tex]\begin{aligned}n - 4&= 0 - 4\\&= - 4\\\end{aligned}[/tex]

The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: numbers, rule, n-4, create, pattern, irrational numbers, rational numbers, adding, subtracting, multiplication, division, decimal expansion, natural numbers

Answer: 3.4875

Step-by-step explanation:

Here, According to the question,

Total amount is $23.25

[tex]100\% = 23.25[/tex]

⇒[tex]1\% = \frac{23.25}{100}[/tex]

⇒[tex]1\%= \frac{0.95}{8}[/tex]

⇒ [tex]15\%= 15\times \frac{0.95}{8}[/tex] ( By multiplying 15 on both sides)

⇒ [tex]15\%= \frac{14.25}{8}[/tex]

⇒  [tex]15\%= 3.4875 [/tex]

Thus, 15% of $23.25 is $3.4875

Value of f(g(3)) is -22.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given

f(x) = 4x – 2

g(x) = -2x + 1

Value of f(g(3))

g(x) = -2x + 1

g(3) = -2(3) + 1

g(3) = -6 + 1

g(3) = -5

f(g(3)) = f(-5)

f(x) = 4x – 2

f(-5) = 4(-5) - 2

f(g(3)) = -20 -2

f(g(3)) = -22

Hence, value of f(g(3)) is -22.

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Answer: 1/20 :)

Step-by-step explanation: I did this and got full points heres for each question.

1. 5/21

2. 3/40

3. 33/56

4. 1/20 of a foot

5. 2/5 of the book

The total number of people in the pie chart will be 40.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

108° → 12 people.

Per degree people or the ratio of degree to people will be,

1° → 12/108 people

In a circle, there is 360° thus multiply by 360 on both sides,

360° = 12/108 x 360 = 40 people

Hence "The total number of people in the pie chart will be 40.".

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It will not have any possible solutions

Step-by-step explanation:

this would actually have some solutions because

y=3.5x−3.5

Step: Substitute 3.5x−3.5 for y in y=−3.5x+3.5:

y=−3.5x+3.5

3.5x−3.5=−3.5x+3.5

3.5x−3.5+3.5x=−3.5x+3.5+3.5x(Add 3.5x to both sides)

7x−3.5=3.5

7x−3.5+3.5=3.5+3.5(Add 3.5 to both sides)

7x=7

7x

7

=

7

7

(Divide both sides by 7)

x=1

Step: Substitute 1 for x in y=3.5x−3.5:

y=3.5x−3.5

y=(3.5)(1)−3.5

y=0(Simplify both sides of the equation)

x=1 and y=0

Final answer:

Carlos can divide his 24-inch string into 3 equal parts by solving the equation 3x = 24, which gives each part a length of 8 inches.

Explanation:

Carlos has a string that is 24 inches long and wants to divide it into 3 equal parts. To find how long each part will be, we can represent the unknown length of each part by the variable ? (which we will replace with x for the equation). The equation we can write for this scenario is 3x = 24.

To solve for x, we divide both sides of the equation by 3:

So, each part of the string will be 8 inches long.

To find the equivalent number of calories per serving based on that a can of juice contains 175 calories for 2.5 servings, divide 175 by 2.5 to get 70 calories per serving. Any amount other than 70 calories per serving would not be equivalent.

The question is asking to find an equivalent number of calories per serving based on the information that a can of juice contains 175 calories per 2.5 servings. To calculate the calories per serving, we divide the total number of calories by the number of servings, so:

Calories per serving = Total calories ÷ Number of servings = 175 calories ÷ 2.5 servings = 70 calories per serving.

Now, let's say we have several options that represent the number of calories per serving:

From this list, every option except for the first one (70 calories per serving) is not an equivalent number of calories per serving as our calculated 70 calories per serving.