Equations practice problems - page 47 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4223
- Pears
Boris, Filip, and Martin harvested pears. It took Boris 30 minutes to harvest one full crate, 20 minutes for Filip, and 36 minutes for Martin. Calculate how long it would take them to pick up five full crates together. - Mr Adam
Mr. Adam saved € 850. If Mr. Boris had half and a sixth more than he should, they would have the same with Mr. Adam. How many euros has Mr. Boris saved? - Environment 62874
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides.
- The proportion
Solve for N in this proportion: 6/5=30/N? - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Two boys 2
Two boys cycled around a cycling track. After cycling 3/5 of the distance, they had covered 54 meters each. Calculate the total distance the two boys will cover when they cycle around the track once. - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
- Average age
There are 20 students in the class. Several are 12 years old, and others are 13 years old. Find out how old is twelve when the average age of a class is: a) 12.5 years b) 12.75 years c) 12.3 years d) 12.35 years - Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator? - Intersections 62534
The equation of the linear function is: y = -3x + 4 (a) determine the intersections with the axes sketch chart b) for which x applies f (x) = - 1 c) for which x applies f (x) = 0 d) for which y applies f (-1/2) = y - The same book
Alexander and Blanka bought the same book that had 240 pages. Blanka read four pages more a day than Alexander. Blanka read it before Alexander. Alexander read the book both weekend days longer. Using an equation or system of equations, calculate how many - Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Salary increase 2
Each year, Francesca earns a salary 2 percent higher than her previous year's salary. In her first five years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job? - Deposit and saving
How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms) - Younger 62334
Lenka is 12 years old, and her sister Julia is x years old. My mother is 22 years older than Julia, and at the same time, Lenka is three times younger than her mother. How old is Julia? - The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms. - Colored balls
There are colored balls in the bag. One-third of them are blue, one-sixth are green, five-twelfths are yellow, and the remaining ten balls are red. How many yellow balls are in the bag?
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