Someone please help I’ll give good points for help !!! And explain please

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

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 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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Answer:

-3+(-2y)

Step-by-step explanation:

Combine the like terms

(-9+6) + (-y-y)

-9+6= -3 -y-y= -y+ -y= -2y

-3+-2y

Answer:

Solution in attached photo.

Step-by-step explanation:

The solution is attached as a photo. This Question tests on the concept of Angle Properties.

Properties required:

1) Angles in a straight line sums up to 180°.

The room floor has a rectangular dimensions with an area of 48 square metres and it will take 32 metres of the carpet to cover the floor completely without wastage.

The floor has rectangular dimensions 8 m by 6 m such that:

area of the floor = 8 m × 6 m

area of the floor = 48 m²

Since the carpet roll is 1.5 metres wide;

48 m²/ 1.5 m = 32 m

Therefore, it will take 32 meters of the carpet to cover the rectangular floor with 8m by 6m dimensions completely without wastage.

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The temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

After one week, the temperature decreased by 46.8° with a

percent change of 72%.

let,

the temperature at the beginning of the week = x

so, we get,

x= 46.8/72*100

 =65

i.e. the temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

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The original price of the sofa is $540.

What is percentage?

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Here the Cost price of sofa after reduction = $135.

Now here reduction percentage is 75%.

Let us take original price  percentage of sofa is 100%. Then

Here 100%-75%=25% is the cost price after reduction .

=> 25% of original price = 135

=> 25% of x = 135

=> [tex]\frac{25}{100}x =135[/tex]

=> [tex]\frac{135\times 100}{25}[/tex] = 135×4 = $540.

Hence the original price of the sofa is $540.

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The solution to the compound inequality as a single inequality will be → x ≤ -3.

Given is the compound inequality as -

(x/3) ≤ -1    

- 6 ≥ (x - 1)

The given inequalities are -

(x/3) ≤ -1     →     x ≤ -3

-6 ≥ (x - 1)    →     x ≤ -5

The solution to the compound inequality as a single inequality will be -

x ≤ -3

Therefore, the solution to the compound inequality as a single inequality will be → x ≤ -3.

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The information related to the quadratic equation is given below.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

It is in the form of ax² + bx + c

So,

We can recognize a quadratic equation if the highest power of the equation is two.

Now,

The methods that can be used to solve are:

Middle-term factorization.

Example:

x² + 2x + 1

x² + (1 + 1)x + 1

x² + x + x + 1

x(x + 1) + 1(x + 1)

(x + 1) (x + 1)

Using the determinant formula.

ax² + bx + c

x = [-b ± √(b² - 4ac)] / 2a

Now,

The number of solutions is equal to the degree of the quadratic equation.

Now,

The discriminant of a quadratic equation is [-b ± √(b² - 4ac)] / 2a.

Where ax² + bx + c is the equation.

The discriminant determines the solutions.

Thus,

The information related to the quadratic equation is given above.

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Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

the lowest term for the given expression will be 5/4.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given fractions division is

{1/2 + 1/3} / {1/2 +{1/6}

={5/6}/{4/6}

={5/6}*{6/4}

=5/4

Hence the lowest term for the given expression will be 5/4.

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The length of the rectangle is 10ft and width of the rectangle is 7ft.

What is area of rectangle?

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.

According to the question

Length = 3(width)-11

=> l = 3w-11.

Now area of rectangle = lw

=> 70 = (3w-11)(w)

=> [tex]3w^2-11w=70[/tex]

=> [tex]3w^2-11w-70=0[/tex]

=> [tex]3w^2+10w-21w-70=0[/tex]

=> (3w+10)(w-7)=0

=> w= 7 ft

Then length l = 3(7)-11=21-11 = 10 ft.

Hence the length of the rectangle is 10ft and width of the rectangle is 7ft.

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The described graph crossing the y-axis at (0, negative 6) has f(0) at

The y - intercept is calculated by substituting the value of x as zero.

For a graph, when the curve passes through the y axis, the point is the y intercept.

On a coordinate axis the points are represented using ordered pairs of the form (x, y). For an equation, this is represented as f(x) = y

Because of this, the points (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0) are f(-2) = 0, f(-1) = 0, f(1) = 0, and f(3) = 0, are the x intercepts

The y intercept in the problem is (0, negative 6), represented in equation form as

f(0) = -6

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Answer:

135.3 yd

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the length of the diagonal (c) is equal to the sum of the squares of the length (a) and the width (b) of the rectangle. So the formula is c = √(a^2 + b^2)

Given the length of the soccer field is 115 yd and the width is 70 yd, we can use the formula:

c = √(115^2 + 70^2)

c = √(13225 + 4900)

c = √(18125)

c = 135.3 yd

Rounding the answer to the nearest tenth we get 135.3 yd

Therefore, the length of the diagonal of a soccer field is 135.3 yd.

Yes, after 3 hours the level of water in both tanks will be equal.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the stingray tank contains 6 inches of water. the Shark tank is empty. each hour, 4 inches of water are added to the stingray tank and 6 inches are added to the shark tank.

The time at which both the tanks will have the same level will be calculated as;-

4x + 6 = 6x

6x - 4x = 6

2x = 6

x = 3 hours

Level = 6x = 6 x 3 = 18 inches

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A table which represents a linear relationship that is also proportional include the following:

B. x −2 0 2

   y −3 0 3

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = -3/-2 = 3/2

Constant of proportionality (k) = 3/2.

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Answer: The answer is B

Step-by-step explanation: I took the test and  got it right

Step-by-step explanation:

5f = 160+9c

f = {160+9c} ÷ 5

The graph that represents the inequality 5y≤10 is plotted below.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The given inequality is 5y≤10.

In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.

So, the graph of inequality 5y≤10 will have a straight line.

Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -

5y = 10

5y = 0x + 10

Substituting the values of x and y with origin (0,0) -

5(0) = 0(0) + 10

0 = 10

Putting the inequality symbol back -

0 ≤ 10

Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.

On solving 5y = 10  -

y = 2

Hence the points of the inequality will be (0,2).

Therefore, the graph for the inequality 5y≤10 is plotted.

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Therefore , the solution of the given problem of equation comes out to be  x>5 .

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula.

Here,

Given :

we have equation 3|x - 1| > 12

So , to find the value of x :

=> 3x-3 >12

=> 3x>15

=> x>5

thus , x value is x>5 ,

So , it can be 6,7 and so on.

Therefore , the solution of the given problem of function comes out to be  x>5 .

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The Correct answer for example of an inequality  is Option C, 4y≤64.

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers.

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Order of numbers from least to greatest is -2.14<|-2.8|<3.2. Therefore, the option D is the correct answer.

Numerical order is a way of arranging a sequence of numbers. This could be in ascending or descending order.

Ascending order: Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

The given numbers are -2.14, √10, |-2.8|.

Here, √10=3.2

Order of numbers from least to greatest is

-2.14<|-2.8|<3.2

Therefore, the option D is the correct answer.

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Answer: 131

Step-by-step explanation: yes

Pretty sure it'd be 100°.

Since the triangles are congruent, measurement D = measurement C. This means measurement C = 30°. Also, they give us measurement A, which is 50°. Of triangle CAT, we already know two of its angles. We can add them to see the last measurement of angle T. 30° + 50° = 80°. There is 180° in a triangle, so 180° - 80° = 100°, which gives us our last measurement, T.

The perimeter of one of the equilateral triangles in the window is equal to 12 feet.

An interior angle of an equilateral triangle measures 60°, hence by considering the right triangle LNX and the sine of angle X = 60°, we will derive one of the side lengths of the equilateral triangle as follows:

sin 60° = 2/XL {opposite/hypotenuse}

1/2 = 2/XL {sin 60° = 1/2}

XL = 2 × 2 {cross multiplication}

XL = 4 feet

All side length of an equilateral triangle are equal so;

one of the triangles perimeter = 3 × 4 feet

one of the triangles perimeter = 12 feet

Therefore, the perimeter of one of the equilateral triangles in the window is equal to 12 feet.

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Answer:

To graph h(x) = 7sin(x), we need to plot a set of points that satisfy the equation. To do this, we can pick several values of x, substitute them into the equation and find the corresponding y values.

We can use the fact that h(x) = 7sin(x) = 7sin(x + 2π) = 7sin(x + 4π) = .... = 7sin(x + 2nπ) , for any integer n.

The graph of h(x) = 7sin(x) is a sine function with an amplitude of 7 and a period of 2π.

It oscillates between -7 and 7 and the graph will look like a wave that oscillates between y = -7 and y = 7.

It has a horizontal shift of 2π to the right.

It is not possible to graph the function here but you can easily plot it using a graphing calculator or a program like Desmos.

Step-by-step explanation:

Answer:

A house has decreased in value by 24% since it was purchased, that means the current value is 24% less than the value when it was purchased.

To find the original value, we can use the following formula:

Original Value = Current Value / (1 - (Decrease % / 100))

where the decrease is expressed as a decimal, thus 24% is 0.24

Original Value = $209,000 / (1 - 0.24)

Original Value = $209,000 / 0.76

Original Value = $275,000

So the original value when it was purchased is $275,000

Answer:

Step-by-step explanation:

The domain of the function f(x) = 7^x is all real numbers.

A function's domain is the set of all input values (x-values) for which the function returns a valid result (y-value). The input value x for the function f(x) = 7x can be any real number. This is because the equation 7x is a real number and an acceptable output value for any real number x. As a result, the domain of f(x) = 7x is defined as (-infinity, +infinity).

It is worth noting that when x is a negative number, 7x is a fraction. In addition, when x is 0, 7x equals 1. And if x is positive, 7x will be bigger than zero.

In conclusion, the domain of f(x) = 7x is all real numbers since the function may take any real integer as input and output a valid result.

Answer: either b or c

Step-by-step explanation:

Answer:

b

Step-by-step explanation: