Equations practice problems - page 47 of 211
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: 4211
- 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? - Solve 9
Solve the equation. Check the solution. start fraction lower t over 6 end fraction = 12 (t)/(6) = 12 - The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms. - Superstar 62054
Jana, Petra, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jan and Peter combined. How many text messages did all 3 girls send together? - Allan 2
Allan wants to buy a shirt regularly priced at PHP 265. The shirt Is on sale for 15% of the regular price. Which equation can be used to determine the sale price of the shirt? - Supported 61914
A person lifts a stone weighing 285 kg with the help of a lever that is supported at a distance of 30 cm from the stone. A person acts on the lever at a distance of 90 cm from the support. How much force does a person have to use to lift a stone? - Two companies
The two companies did work together for 100 days. The first company would do it in 150 days. How many days would the work take the second company? - Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Three-fifths 61434
Eva received money for a brigade. She saved three-fifths of the money, lent one-quarter to her sister, and bought a T-shirt for the remaining 180 CZK. How much CZK did Eva earn on the brigade? - Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - Plants
The number of germinated plants increased by 50% to 300 from morning to evening. How many plants germinated in the morning? - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
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