in the diagram, ray OT bisects angle SOU, measure of angle UOV equals 35 and measure of angle YOW equals 120 find the measure of each angle

To calculate the dealer's cost of a refrigerator, you can use the selling price and the mark-up percentage by following a step-by-step process.

Mark Up Calculation:

Therefore, the dealer's cost of the refrigerator is $467.20.

We know that a square, by definition, has four congruent sides.

So, simply divide the perimeter by 4, and you will get the expression equivalent to each side: 12p+4/4

3p+1 is equal to one side of the square

Answer:

15 girls

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

-----> equation A

isolate the variable y

-----> equation B

Substitute equation B in equation A

you welcome  

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

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Density of butter block is 0.833 g/cm³

Weight of butter block = 200 g

Dimension of Butter block = 8cm by 5 cm by 6 cm

Density of butter block

Density of butter block = Weight of butter block / Volume of butter block

Weight of butter block

Density of butter block = 200 / [(8)(5)(6)]

Density of butter block = 200 / 240

Density of butter block = 0.833 g/cm³

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Answer:3 and 1/4 is the answer

Step-by-step explanation:

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.

Explaining how to determine the number of seats in each section based on seat pricing and total revenue.

Analyzing seat pricing and revenue:

Final answer:

After setting up the system, Zach has 2/3 hour left to play. Since each round takes 1/6 hour, he can play 4 full rounds of his favorite game.

Explanation:

Zach has 3/4 hour to play video games, and it takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. To find out how many rounds he can play, we need to subtract the setup time from the total available time and then divide by the time each game takes.

Zach can play 4 full rounds of his favorite game.

Answer:

A: [tex]\frac{14}{15}[/tex]

B: 14

Step-by-step explanation:

Let the number of students who said that summer break should be longer be x.

Total number of students = 15

The result showed = 0.9333....

We can calculate this like :

[tex]\frac{x}{15}=0.93333.....[/tex]

This gives x = 14 approx

A:

So, in fraction form it can be written like = [tex]\frac{14}{15}[/tex]

B:

14 students said the summer break should be longer.

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).

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The nearest liters is 103 L(liters).

While rounding a figure to the nearest whole number, the figure closest to the decimal point is considered.

If the figure that is closest to the decimal point is more than 5, it would be taken as one and added to the first unit of the figures which is 3.

But if the figure is less than 1, it's taken as Zero.

From the liters given, 4 which is closest to the decimal point is less than 5. This is therefore taken as 0

Therefore, the nearest liters is 103 L(liters).

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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.

To find the remaining trigonometric ratios of θ given that csc θ = 2 and cos θ is positive, we calculate sin θ, cos θ, tan θ, cot θ, and sec θ.

To find the remaining trigonometric ratios of θ, we are given that csc θ = 2 and cos θ is positive. Based on this information, we can determine the values of the other trigonometric ratios.

The reciprocal of sin θ is csc θ, so we can find sin θ by taking the reciprocal of 2. Therefore, sin θ = 1/2.

Since cos θ is positive and sin θ is positive (since 1/2 is positive), we know that θ is in the first quadrant. In the first quadrant, all the trigonometric ratios are positive. Therefore, cos θ = √(1 - sin²θ) = √(1 - (1/2)²) = √(1 - 1/4) = √(3/4) = √3/2.

Finally, we can find the remaining trigonometric ratios:

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The ways that can be used to illustrate the measurement will be:

It should be noted that the measurements that one can make with the 10-oz and 6-ov glasses include measuring cups of water, etc.

It is important to have some visual aids as a reference for the correct amount. It is important to clearly see the amount being poured as the fluid is slowly poured into the vessel.

In mathematics, the conjecture is a conclusion or a proposition which is proffered on a tentative basis without proof.

In conclusion, use an object as a reference point, choose an appropriate vessel to pour your liquid into, and then place the vessel on a flat surface and bring yourself down to eye level.

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