when 60% of a number is added to the number, the result is 44

the area of the poster in square feet is,  8 feet²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Length of poster = 48 inch

Width of poster = 24 inch

Since, We know that;

1 feet = 1 / 12 inch

Hence, Length of poster = 48 / 12

                                      = 4 feet

And, Width = 24 / 12

                 = 2 feet

Thus, Area of poster = Length x Width

                                = 4 x 2

                                = 8 feet²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

The square root of 3

Step-by-step explanation:

An irrational number can not be written as a ratio.

And because the square root of 3 is the only answer that can not be written as a ratio, it is irrational.

Therefore, The square root of 3 is Irrational.

The paired numbered angles can be classified as follows:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

Recall the following:

Therefore, from the above stated facts, we can conclude that:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

Learn more here:

https://brainly.com/question/7870852

The expression (5+23) is correctly described as a simple addition, resulting in a sum of 28. It exemplifies the basic operation of adding two numbers together, an essential mathematical skill.

The phrase that correctly describes the following expression (5+23) is simple addition. This expression simply requires adding the two numbers within the parentheses, leading to an answer of 28. Unlike complex expressions that involve multiple operations and rules such as the distributive property or the order of operations (parentheses, exponents, multiplication and division, and addition and subtraction), this expression only requires basic addition.

The concept of addition is fundamental in mathematics, allowing for the combining of two or more numbers to find their total. Such operations are building blocks for more complex arithmetic and algebraic tasks.

It's also important to note that the order in which numbers are added does not change the sum, a principle known as the commutative property of addition.

Answer:

x=2+square root 3

Step-by-step explanation:

hope it helps

Answer:

Hi there! The answer is to this question is

B. (4x2 – 3)(x2 – 5)

Hope this helps :D

The factored form of the polynomial 4x⁴ – 20x² – 3x² + 15 is (4x² – 3)(x² – 5). The correct option is B.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given polynomial is 4x⁴ – 20x² – 3x² + 15. The polynomial by grouping can be solved as below:-

P = 4x⁴ – 20x² – 3x² + 15

P = 4x² ( x² - 5) -3 ( x² - 5 )

P = (4x² – 3)(x² – 5)

Hence, the factored form of the polynomial 4x⁴ – 20x² – 3x² + 15 is (4x² – 3)(x² – 5).

To know more about polynomials follow

https://brainly.com/question/2833285

#SPJ6

The equivalent value of the expression π / 7 = a/4 is a = ( 4π/7 )

Given data:

To find the value of a when given π/7 = a/4, cross-multiplication is done and a is solved as:

When two fractions are equal, to eliminate the denominators, the cross multiplication is executed and the unknown variable is solved.

Cross-multiplying the equation:

π * 4 = 7 * a

Simplifying the equation:

4π = 7a

To solve for a, divide both sides of the equation by 7:

a = (4π) / 7

Hence, the solution of a = ( 4π/7 )

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6

Answer:

The correct option is 3.

Step-by-step explanation:

Given: [tex]\overline {PQ}\cong \overline{QR}[/tex], [tex]PQ=3x-1,QR=26[/tex].

Prove: [tex]x=9[/tex]

[tex]\overline {PQ}\cong \overline{QR}[/tex]             (Given)

[tex]PQ=QR[/tex]             (Segment congruent postulate)

[tex]3x-1=26[/tex]                         (Substitution property of equality)

Add 1 on both sides.

[tex]3x-1+1=26+1[/tex]          (Addition property of equality)

[tex]3x=27[/tex]

Divide both sides by 3.

[tex]x=9[/tex]               (Division property of equality)

Hence proved.

The required equation for box 1 is 3x=27.

Therefore the correct option is 3.

Answer:

the answer is 61/99

Step-by-step explanation:

Answer:

17 and 59

Step-by-step explanation:

Let's find the answer by assuming the following:

L=larger number

S=smaller number

The first condition is: 'L' is nine less than four times 'S' but, because:

(four times 'S') is the same as 4*S then:

('L' is nine less than four times 'S') is equal to ('L' is nine less than 4*S), which means:

L+9=4*S (eq. 1)

Second condition is: the sum of the two numbers is 76, so:

L+S=76 which can be written as:

S=76-L using this relation in eq. 1 we have:

L+9=4*S

L+9=4*(76-L)

L+9=304-4L

L+4L=304-9

5L=295

L=295/5

L=59

And also we have:

L+S=76

S=76-L

S=76-59

S=17

In conclusion, the two numbers are 17 and 59.

Answer:

x ≤  7

Step-by-step explanation:

The numbers are 74.5 and 75.5

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

Given number:

150

let the consecutive number be x and x+1

Now, according to the question

x+x+ 1= 150

2x + 1 = 150

2x= 149

x= 149/2

x= 74.5

hence, the numbers are 74.5 and 75.5

Learn more about algebra here:

https://brainly.com/question/953809

#SPJ2

The place value chart can help us to write a number in expanded notation. When we put 4,408,730 into the place value chart, we can recognize that our number is equal to

4 millions + 4 hundred thousands + 0 ten thousands + 8 thousands + 7 hundreds + 3 tens + 0 units

Image is provided.

Answer: y + 4 = 6(x - 3)

Step-by-step explanation:

      The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

      Using the formula given above, we will plug in what we know to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (-4) = (6)(x - (3))

y + 4 = 6(x - 3)

To find the profit maximizing quantity, we must calculate and compare total revenue, marginal revenue, total cost, and marginal cost for each unit level, and graph the total revenue, total cost, marginal revenue, and marginal cost curves. The profit maximizing quantity is where marginal revenue equals marginal cost.

To determine the profit maximizing quantity, we need to calculate total revenue, marginal revenue, total cost, and marginal cost for each output level of the winter coats sold by Doggies Paradise Inc. Since the firm is perfectly competitive and dog coats sell for $72 each, the marginal revenue is equal to the price, thus $72 for each additional unit sold.

Let's calculate these values and summarize them in a table:

The marginal cost can be found by taking the difference in total variable costs for each additional unit produced plus the fixed costs. It's important to compare MR and MC for each output to find the profit maximizing quantity, where MR=MC. Graphing these will illustrate the intersection point that denotes the optimal output level. The total revenue and total cost curves can also help visualize the point at which profit is maximized, as this is where the distance between the TR and TC curves is largest.