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The cost of a suit and a pair of shoes is 720 manats. The cost of the suit is reduced by 20% and the cost of the shoes is reduced by 30%. The total cost of the suit and shoes after the discounts is 564 manats. What is the original cost of the suit?
The cost of a suit and a pair of shoes is 720 manats. The cost of the suit is reduced by 20% and the cost of the shoes is reduced by 30%. The total cost of the suit and shoes after the discounts is 564 manats. What is the original cost of the suit?
400
The population of a city was 70000 in 2023. The population has grown to 74200 in 2024. What is the percentage increase in the population?
The population of a city was 70000 in 2023. The population has grown to 74200 in 2024. What is the percentage increase in the population?
6
Given that the complex numbers z1 = -1 + 2i and z2 = 1/(1- i) , find the modulus of the complex number z = 2z1 - 7z2 + 6
Given that the complex numbers z1 = -1 + 2i and z2 = 1/(1- i) , find the modulus of the complex number z = 2z1 - 7z2 + 6
$2 \sqrt{10}$
Find the length of segment AD in the given figure.
Find the length of segment AD in the given figure.
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Calculate the value of 0.2(6) + 0.2
Calculate the value of 0.2(6) + 0.2
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A straight line segment with a length of 1 cm is divided into two pieces with lengths of 0.1 cm and 0.5 cm. Find the projection of the line segment onto a line perpendicular to the original line segment.
A straight line segment with a length of 1 cm is divided into two pieces with lengths of 0.1 cm and 0.5 cm. Find the projection of the line segment onto a line perpendicular to the original line segment.
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A group of 50 people are randomly assigned numbers. What is the probability that a randomly selected person will have a number that is divisible by 7 and is even?
A group of 50 people are randomly assigned numbers. What is the probability that a randomly selected person will have a number that is divisible by 7 and is even?
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Solve the inequality: (7 - 3k) / 2 - (8k + 1) / 3 < 12 - 10k
Solve the inequality: (7 - 3k) / 2 - (8k + 1) / 3 < 12 - 10k
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A square is divided into 25 equal parts. If the angle inside the square is alpha and beta, find the value of tan(alpha) + cos(beta).
A square is divided into 25 equal parts. If the angle inside the square is alpha and beta, find the value of tan(alpha) + cos(beta).
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Given that (x^4 + 3x)^8 = 1 and (x^6 + 2x + 3)^7 = 1, find the value of (x^4 + 3x)^5 * (x^6 + 2x + 3)^11.
Given that (x^4 + 3x)^8 = 1 and (x^6 + 2x + 3)^7 = 1, find the value of (x^4 + 3x)^5 * (x^6 + 2x + 3)^11.
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Study Notes
Cost of Items
- A suit and shoes cost a total of 720 manats
- The suit's price decreased by 20%
- The shoes' price decreased by 30%
- The total price after discount is 564 manats
- Determine the original price of the suit
Population Growth
- A city's population was 70000
- The population grew to 74200 in one year
- Calculate the percentage increase in population
Complex Numbers
- z₁ = -1 + 2i and z₂ = (1+i)/(1-i)
- z = 2z₁ - 7z₂ + 6
- Find the modulus of the complex number z
Geometry/Trigonometry
- Find the length of AD in a diagram
- A line segment from a point to a circle touches the circle at a point C
- The circle's radius is 12
- AC = 8
- Find the length of the segment AD
Geometry/Trigonometry (2)
- Length of a line segment is 1 cm
- The ends of the segment are at distances of 0.1 cm and 0.5 cm from a plane
- Calculate the projection length of the segment
Inequalities
- Solve the inequality: (7-3k)/2 - (8k+1)/3 < 12 - 10k
Probability
- A game with 50 participants
- Participants' numbers drawn at random
- Calculate the probability that a selected participant's number is an even number divisible by 7
Trigonometry
- 25 is divided into 25 equal parts
- Find the value of tan(a) + cos(β) in a diagram showing a triangle
Polynomials
- M1(x⁴ + 3x)⁸ degree is 39
- M2(x⁶ + 2x + 3)⁷ degree is 46
- Calculate the degree of M₅ • M₁₁ • M₂₂
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Description
This quiz covers a range of mathematics topics including cost calculations, population growth, complex numbers, geometry, trigonometry, and inequalities. Test your skills in these areas and see how well you understand the concepts involved in each problem.
