paul owes his father $10.75. he borrows $5.50 more from his father. what is paul's debt to his father
Theo had a balance of-$4 in his savings account.after making a deposit he has $25 in his account what is the overall
360 km is 24% of blank km
Estimate 45.8 divided by 23.6
PLEASE HELP FAST!!!!!!!!!!!!!!!!!
Tomas asked 15 students whether summer break should be longer. He used his calculator ti divide the number of students who said yes by the total number if students. His calculator showed the result as 0.9333......
a. Write this number as a fraction.
b.How many students said that summer break should be longer
PLEASE AWNSER THEM
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.
Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)
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.
What is a polynomial?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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What is the value of x? x+4/5=11 Enter your answer in the box in simplest form.
3. List all measurements that you can make with the 10-oz and 6-ov glasses. You can combine both cups for this process. If the measurements were not included in your process to solve, prove how you can make specific measurements. 4. Make observations about your findings Is there anything that you notice? Make a conjecture. Do you think what you found will work in all cases (for example if you were to use odd measurements rather than even)? 5. Vary the problem in an attempt to prove your conjecture. You can vary the problem by changing the target amount to find or changing the size of the glasses. Since you have already found all possible measurements for the 10-oz and 6-oz glass, your task is to change the glass sizes.
The ways that can be used to illustrate the measurement will be:
Use an object as a reference pointChoose an appropriate vessel to pour your liquid into. Place your vessel on a flat surface and bring yourself down to eye level.How to illustrate the information?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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An amphitheater charges $75 for each seat in Section A, $55 for each seat in Section B, and $30 for each lawn seat. There are three times as many seats in Section B as in Section A. The revenue from selling all 23,000 seats is $870,000. How many seats are in each section of the amphitheater?
Explaining how to determine the number of seats in each section based on seat pricing and total revenue.
Explanation:Analyzing seat pricing and revenue:
Let the number of seats in Section A be x.Then, the number of seats in Section B is 3x.Set up equations based on the given information and total revenue to find the number of seats in each section.Suppose the leftmost digits of two numbers are 8 and 3 can u tell which number is greater? Explain
Mira's kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter.
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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what property was used to rewrite the polynomial expression
(x+5)+3(a+(6x)y) to (5+x)+3(a+(6x)y)
A butter block weighs 200g the dimension of the block is 8cm by 5cm by 6cm what is the density to 3 decimal places?
Density of butter block is 0.833 g/cm³
Given that;Weight of butter block = 200 g
Dimension of Butter block = 8cm by 5 cm by 6 cm
Find:Density of butter block
Computation: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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Lines a and b are parallel.
What is the measure of angle m?
m = ?
the selling price for a refrigerator is 584 if the mark up is 25% of the dealers cost, what is the dealers cost of the refrigerator?
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:
Let the dealer's cost be x.Mark up = 0.25x.Selling price = Dealer's cost + Mark up = x + 0.25x = 1.25x = $584.Solve for x: 1.25x = 584, x = $467.20.Therefore, the dealer's cost of the refrigerator is $467.20.
The perimeter of a square is 12p +4. One side of the square equals? Explain your answer.
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
Which phrase correctly describes the following expression?(5+23)
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.
Explanation: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.
What is the true statement
How to rewrite 3x4-1+2
The sum of two consecutive integers is 150. what are the two integers ?
The numbers are 74.5 and 75.5
What is algebra?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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How much will you save if you buy an item listed at $75.50 at a 25% discount?
A full can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?
Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is offering a $10 off coupon. The sales tax is 6% on either purchase. If Shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over?
Find the remaining trigonometric ratios of θ based on the given information.
csc θ = 2 and cos θ is positive
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.
Explanation: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:
tan θ = sin θ / cos θ = (1/2) / (√3/2) = 1/√3 = √3/3cot θ = 1/tan θ = √3/3sec θ = 1/cos θ = 2/√3 = 2√3/3cos θ = √3/2Learn more about Trigonometric Ratios here:https://brainly.com/question/31675053
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You would like to make orange juice for the Queen of Canada but her tastes are very particular. She requires 400mL of orange juice, but it has to be the correct concentration, which is 23% concentrate. You have some 250mL cans of Windsor Delight OJ concentrate, which asks for 3 cans of water to every can of concentrate. You also have 250mL cans of Budget Brit OJ concentrate, which requires 4 cans of water for every can of concentrate. How much Windsor Delight mixture, and how much Budget Brit mixture will go into every 400mL of Her Majesty's Royal
To create 400mL of orange juice with a 23% concentrate for the Queen of Canada, use a specific combination of Windsor Delight and Budget Brit OJ concentrates.
To make 400mL of orange juice with a 23% concentrate for the Queen of Canada:
Use 200mL of Windsor Delight OJ concentrate (which needs 3 cans of water per can).Use 200mL of Budget Brit OJ concentrate (which requires 4 cans of water per can).This combination meets the required concentration of 23% for the 400mL of orange juice.The ratio of girls to boys in Liza’s classroom is 5
to 4
. How many girls are in her classroom if there is a total of 27
students?
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
In 12 hours, how many more kilometers could the yellow car go than the red car if the red car has an average speed of 217/km per hour and the yellow car has 242 km per hour?
drew adds 1/2 cup of wheat flour and 2 3/4 cup of white flour to his muffin batter. how many cups of flourdoes drew add
A 1 1/4
B 2 2/3
C 3 1/4
D 3 3/4
Answer:3 and 1/4 is the answer
Step-by-step explanation:
Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is C(x) = 3050 + 8x + 0.1x2 (0 ≤ x ≤ 500). Gymnast Clothing sells the cleats at $150 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit? Revenue = 150x Correct: Your answer is correct. Profit = 150x−(3050+8x+0.1x2) Correct: Your answer is correct. At least Incorrect: Your answer is incorrect. pairs
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.
Explanation: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:
Total Revenue (TR) = Price (P) imes Quantity (Q) = $72 imes QMarginal Revenue (MR) = Change in TR / Change in Q = $72 (constant for each unit since P is constant)Total Cost (TC) = Fixed Costs (FC) + Variable Costs (VC)Marginal Cost (MC) = Change in TC / Change in QThe 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.
Zach has 3/4 hour to play video games. it takes him 1/12 hour to set uo the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play
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.
Subtract the setup time from the total time: 3/4 hour - 1/12 hour.Calculate the common denominator and subtract: 9/12 hour - 1/12 hour = 8/12 hour, which simplifies to 2/3 hour.Divide the remaining time by the time per round: 2/3 hour ÷ 1/6 hour.Calculate the number of rounds: 2/3 hour × 6/1 hour = 4 rounds.Zach can play 4 full rounds of his favorite game.