(sin30°+cos60°)(tan60°-sec30°)​

A system of equations is a set of two or more equations with two or more variables. The number of solutions to a system of equations depends on the number of equations and the number of variables.

It's important to note that the number of solutions is not determined by the number of equations, but by the relationship between the equations and the variables.

To learn more about system of equations

Visit; brainly.com/question/12895249

#SPJ4

If two numbers A and B are given, then the formula of the commutative property of numbers for addition is given as: A + B = B + A

The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result.

For example, 4 + 5 gives 9, and 5 + 4 also gives 9. The order of two numbers being added does not affect the sum.

As a result, the commutative property is concerned with moving the numbers about. So, if altering the order of the operands has no effect on the result of the arithmetic operation, that arithmetic operation is commutative.

To know more about commutative property visit: brainly.com/question/778086

#SPJ4

The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔSTW and ΔUVW, we have

∠T = ∠V      (Given)

∠W = ∠W    (Common angle)

Then the triangles ΔSTW and ΔUVW will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

ST / UV = VW / TW

ST / UV = VW / (TV + VW)

5 / x = 6 / (9 + 6)

x = 5 (9 + 6) / 6

x = 5(15) / 6

x = 75 / 6

x = 12.5

The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

Answer:

p = t - a - b

Step-by-step explanation:

T = a + p + b

- p + T = a + b

- p = - T + a + b

p = T - a - b

Answer:

The variable that belongs in the green box is T

(p=T-a-b)

Step-by-step explanation:

The total amount of fruit (T) minus the apples (a) and minus the bananas (b) would leave us with just the pears (p).

Writing this out mathematically, we have : T - a - b = p

By applying the distributive property to open the parentheses and then combining like terms, the answers above are gotten when each expressions are simplified.

To simplify an expression that as parentheses, we can apply the distributive property to get the answer.

Given the expression, 2(4 + 3(x - 5)), to get the answer in simple form. apply the distributive property to open the parentheses:

2(4 + 3x - 15)

Combine like terms:

2(3x - 11)

Apply the distributive property:

6x - 22

Also, follow the same process to simplify -3(9 - 2(k + 3) + 5k):

-3(9 - 2(k + 3) + 5k)

Apply the distributive property:

-3(9 - 2k - 6 + 5k)

Combine like terms:

-3(3k + 3)

Apply the distributive property:

-9k - 9

Learn more about the distributive property on:

https://brainly.com/question/2807928

#SPJ1

Coupon 1 is the better deal, as it offers a 40percentage discount on one of the two items.

Coupon 1:

Cost of 1 item: 18

Discount of 1 item: 40% (7.2)

Total cost with coupon 1: 10.8

Coupon 2:

Cost of 2 items: 36

Discount of 2 items: 25% (9)

Total cost with coupon 2: 27

Coupon 1 is the better deal for Brittni's purchase. It offers her a 40% discount on one of the two items, which means she would save 7.2 on the item. The total cost with coupon 1 would be 10.8. On the other hand, coupon 2 offers a 25% discount on the entire purchase, which would amount to 9 in savings. However, the total cost with coupon 2 would still be higher at 27. Thus, coupon 1 is the better deal for Brittni's purchase.

Learn more about percentage here

https://brainly.com/question/16797504

#SPJ4

The two lines in the system of equations will be parallel when the value of k is 15/4.

Let 2 equations of the line be,

ax+by=c1

dx+ey=c2

for lines to be parallel it is necessary that their slopes are equal

we can easily find the slopes of these equations by re-arranging them in the standard equation of a line i.e, y=mx+c

after rearranging we'll get the following equations,

y=(-a/b)x+c1/b

y=(-d/e)x+c2/e

and it should satisfy the given condition,

-a/b=-d/e≠c1/c2

as, if the ratio of the slope is the same as the constants it will become the same line. So, according to the given question

-3/2k must be equal to -2/5

k must be 15/4.

Learn more about a system of equations on

https://brainly.com/question/2479635?referrer=searchResults

#SPJ4

Answer: C). Yes, by HL

Step-by-step explanation:

The profit percent for the pencils is equal to 10%.

If C is the cost and P is the price, then the formula for the profit percent is:

p = 100%*(P - C)/C

Here we know that the selling price of 10 pencils is equal to the cost price of 11 pencils, then we can write the eqation:

10*P = 11*C

We can solve this for P.

P = (11/10)*C = 1.1*C

Replacing that in the given formula we will get:

p = 100%*(1.1*C - C)/C

p = 100%*(1.1 - 1)*C/C

P = 10%

The profit percent is 10%.

Learn more about profit percent at:

https://brainly.com/question/19104371

#SPJ1

Answer:

0.80g

Step-by-step explanation:

8/10 = 0.80

Add the variable(g)

0.80g

Quantitative variables provide numerical measures of individuals. the measures can be added or​ subtracted, and provide meaningful results.

To learn more about Quantitative variables refer to:

https://brainly.com/question/14037311

#SPJ4

The solutions to the nonlinear system of equations are (x₁, y₁) = (1 + √14 / 7, - 1 + 3√14 / 7) and (x₂, y₂) = (1 - √14 / 7, - 1 - 3√14 / 7).

In this problem we find the case of a system of two equations formed by a linear equation and a quadratic equation that can be solved by means of algebra properties. First, write the entire system of equations:

3 · x - y = 4

2 · x² + y² + x · y = 6

Second, clear y in the first equation:

y = 3 · x - 4

Third, substitute in the second equation:

2 · x² + (3 · x - 4)²  + x · (3 · x - 4) = 6

2 · x² + 9 · x² - 24 · x + 16 + 3 · x² - 4 · x = 6

14 · x² - 28 · x + 10 = 0

By quadratic formula:

x₁ = 1 + √14 / 7 or x₂ = 1 - √14 / 7

Fourth, find the possible values for y:

y₁ = 3 · x₁ - 4

y₁ = 3 · (1 + √14 / 7) - 4

y₁ = - 1 + 3√14 / 7

y₂ = 3 · x₂ - 4

y₂ = 3 · (1 - √14 / 7) - 4

y₂ = - 1 - 3√14 / 7

Fifth, write the solutions:

(x₁, y₁) = (1 + √14 / 7, - 1 + 3√14 / 7), (x₂, y₂) = (1 - √14 / 7, - 1 - 3√14 / 7)

To learn more on system of linear equations: https://brainly.com/question/13631560

#SPJ1

The dependent and independent variables ,C is 3 + 1(X) (X)

where, C is the price of gift-wrapping, X is the quantity of wrapped goods.

The number of goods that were wrapped is the independent variable for this function, and the price paid to wrap the presents is the dependent variable.

The number of goods that were wrapped is the independent variable for this function, and the price paid to wrap the presents is the dependent variable.

As opposed to the dependent variable, which is the function's output, the independent variable refers to the function's input. The function in this instance is written as follows:

C = 3 + 1(X) (X)

where,

C is the price of gift-wrapping.

X is the quantity of wrapped goods.

The complete question is,

An order will cost $3 plus $1 for each item that will be wrapped as a present. What are the dependent and independent variables?

To learn more bout Wrapping cost refer to:

https://brainly.com/question/6842449

#SPJ1

The cosine of a right-angled triangle is defined by the trigonometric word “cos” meaning.The neighboring base-to-hypotenuse ratio is known as the cos function in a right-angled triangle.

It aids in determining the triangle's side lengths regardless of the provided angle. If the angle between the neighboring side and the hypotenuse of a right triangle is, we can write this using the cos function.

In a right triangle, the ratio between an angle's adjacent side and the hypotenuse is known as the cosine of the angle. It is written as:

Cos = Base of the right-angled triangle/ Hypotenuse of the right-angled triangle.

The cosine function takes up different values depending upon the value of

To learn more about Trigonometric ratios visit:

https://brainly.com/question/10014799

#SPJ4

Answer:

s >= 18 and s <= -18

Step-by-step explanation:

-|s| <= -18

|s| >= 18

The value inside the module can be either positive or negative:

positive:

s >= 18

negative:

-s >= 18

s ≤ -18

The slope of y=-10x is -10.

The slope of a linear equation in the form of y = mx + b is represented by the coefficient of x, which is also known as the "slope" or "rate of change." In this case, the coefficient of x is -10.

This means that for every unit increase in x, there is a corresponding decrease of 10 units in y. In other words, the line represented by this equation has a negative slope, meaning it slopes downwards as it goes from left to right.

A linear equation is an equation that can be written in the form of y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (the point where the line crosses the y-axis). Linear equations represent straight lines on a graph, and their slope and y-intercept can be used to determine the characteristics of the line, such as its direction and position.

To learn more about linear equations visit:

brainly.com/question/11897796

#SPJ4

The correct way to write greater than 3 is A > 3 where it tells that A having greater value than 3.

In mathematics,

→The greater than symbol (>) is used to indicate that one value is larger than another. For example, if we say "A > B," this means that the value of A is greater than the value of B.

→The less than symbol (<) is the opposite, it indicates that one value is smaller than another. For example, if we say "A < B," this means that the value of A is less than the value of B.

→The greater than or equal to symbol (≥) indicate that one value is larger than or equal to another. For example, if we say "A ≥ B," this means that the value of A is greater than or equal to the value of B.

→The less than or equal to symbol (≤) indicate that one value is smaller than or equal to another. For example, if we say "A ≤ B," this means that the value of A is less than or equal to the value of B.

These symbols are commonly used in mathematical expressions, equations, and inequalities.

To write "greater than 3" in mathematical notation, you would use the greater than symbol (>) followed by the letter 3. For example:

A > 3

This means that A is greater than 3.

Therefore, the correct way to write greater than 3 is A > 3 where it tells that A having greater value than 3.

To learn more about inequalities visit : brainly.com/question/30231017

#SPJ4

With a $250 original cost and a 30% discount, The cost after discount is $175.00. $75.00 was saved by you.

Think about the pre-sale price. Multiply the initial cost by 30, then divide it by 100. Subtract the old number from this new one. Your discounted value is the new figure. With a $250 original cost and a 30% discount, The cost after discount is $175.00. $75.00 was saved by you.

The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price. Value-based rebates or discounts are described by Discount Rules at the product (SKU) or order level. They can be described in terms of proportions or absolute values (net price). A discount rule only applies to the product to which it refers.

To learn more about discount refer to :

https://brainly.com/question/7459025

#SPJ1

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

To Learn more About sin or cos refer To:

https://brainly.com/question/28160425

#SPJ1

Answer:21

Step-by-step explanation:

L'effectif total de l'équipage est donc de 10 personnes. L'âge moyen des équipiers de ce voilier est donc de 22 ans. le milieu de 20 et 22 est 21. La médiane des âges des équipiers est donc de 21.

[tex] = \frac{3}{5} - \frac{1}{10} \\ [/tex]

[tex] = \frac{3}{5} \times \frac{2}{2} - \frac{1}{10} \\ [/tex]

[tex] = \frac{6}{10} - \frac{1}{10} \\ [/tex]

[tex] = \frac{6 - 1}{10} \\ [/tex]

[tex] = \frac{5}{10} \\ [/tex]

Change in lowest term

answer [tex] = \frac{1}{2} \\ [/tex]

By evaluating the system of inequalities we will see that the point (0, 1) is not a solution.

Here we know that a student says that (0, 1) is a solution to the system of inequalities below:

y > x

y > 2x + 1

A point (x, y) is a solution of the system of eqations if, when we replace both values, both inequalties are true.

Replacing the values of the point (0, 1) we will get:

1 > 0

1 > 2*0 + 1  → 1 > 1

The second inequality is false, then the point (0, 1) is not a solution of the system.

Learn more about systems of inequalities at:

https://brainly.com/question/9774970

#SPJ1

Step 1: Find the important numbers. The roots of a quadratic inequality in standard form are the critical numbers. Therefore, solve by setting the function to zero.

Using inverse operations to isolate the x2 squared is the first step in solving quadratic equations by finding square roots. Step 1: Utilize inverse operations to isolate the x2 squared. Step 2: To isolate x, square root both sides.

The quadratic formula, factoring, using the square roots, and completing the square are the four methods for solving a quadratic equation. As a result, I want to go over a general discussion of the various approaches to solving quadratic equations at this point.

To learn more about quadratic inequality here:

https://brainly.com/question/6069010

#SPJ4

The formula of distributive property is the following, a(b+c) = ab + ac , where a,b,c are real numbers.

The distribution property of multiplication over addition applies when values are multiplied by sums. The expression for the distribution characteristic is expressed as: a × (b + c) = (a × b) + (a × c); where a, b, and c are the operands. The numbers outside the brackets are multiplied by each term inside the brackets and the products are added. For example, you want to multiply the sum of 20 + 3 by 9. Since we have similar terms, we usually add numbers first and then multiply by 5. But according to the property, we can first multiply each summand by 5, so 5( 20 + 3)

= 5 × 20 + 5 × 3

= 100 + 15 = 115.

Hence, distributive property is one of basic property follows by addition and multiplcation operations.

To learn more about distributive property, refer:

https://brainly.com/question/2807928

#SPJ4

The value of 'n' in the equation 3n + 7 = 25 is equal to 6.

In the equation 3n + 7 = 25, 'n' is a variable representing an unknown value. To find the value of 'n', we need to isolate it on one side of the equation.

The first step is to remove the constant term 7 from the equation. This can be done by subtracting 7 from both sides of the equation, which gives:

3n = 18

The next step is to get 'n' alone on one side of the equation. This can be done by dividing both sides of the equation by 3, which gives:

n = 18/3

n = 6

So the value of 'n' in this equation is 6.

--The question is not readable, answering to the question below--

"What is the value of an in 3n + 7 is equal to 25?"

To know more on unknown value

https://brainly.com/question/30141697

#SPJ4

If you are given a graph, you may perform the vertical line test; if a vertical line crosses the graph more than once, the relation represented by the graph is not a function.

Determine the input values. Determine the output values. If each input value results in just one output value, the relationship is classified as a function. If any input value results in two or more outputs, the relationship is not a function.

The connection is a function if each ordered pair has a unique x x x-coordinate. If the relation is specified as a mapping, check to determine if each domain value is present. Has only one arrow pointing to a range value. If the relation is given as a graph, use the Vertical Line Test.

To learn more about  Relation function  to refer:

https://brainly.com/question/6241820

#SPJ1

Answer:

(2,-5)

Step-by-step explanation:

find the coordinates which forms rectangle with othe given points

The coordinates of the fourth vertex of the rectangle are (2, -5).

A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.

We have to determine the fourth vertex of the rectangle.

As we know that the opposite sides of a rectangle are equal.

The x-coordinate of the second vertex (2,4) is equal to the x-coordinate of the fourth vertex.

So, the x-coordinate of the fourth vertex = 2

The y-coordinate of the third vertex (-2,-5) is equal to the y-coordinate of the fourth vertex.

So, the y-coordinate of the fourth vertex = -5

Therefore, the coordinates of the fourth vertex of the rectangle are (2, -5).

Learn more about the rectangles here:

brainly.com/question/20693059

#SPJ2