Rational numbers + equation - practice problems
Number of problems found: 74
- Fraction function
If Begin equation . . . y equals . . . begin fraction . . . x raised to the second power minus 3 times x plus 10 . . . over . . . x plus 4 . . . end fraction . . . end equation, find f(5). - Three rationals
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z? - The sum 29
The sum of the two numbers is 35.407. If one number is 21.7043, find the other number. - Solve 25
Solve for a in (a+8)/2-3(a+10)/5=1.
- Stephen
Stephen was thinking of a number. Stephen halves the number and gets an answer of 44.3. Form an equation with x from the information. - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth - Troops
The route is long 175 km. On the first-day first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day went second regiment on the same route at an average speed of 25 km/h there and back. Which regiment will take the route l - Boats
Three-quarters of boats are white, 1/7 are blue, and nine are red. How many boats do we have? - Grandmother's 4133
Anička went to her grandmother's for spring break. She paid CZK 38 for the trip, which was two-ninths of their savings. She bought a gift for her grandmother for 35.50 CZK and a book for her cousin Míla for 16.70 CZK. How many crowns did she have left to
- My father
My father has a big farm. He planted 6/8 of it with mango trees, 1/2 of the remainder are guava trees, and the remaining 10 trees are santol trees. What is the number of all trees? - Car rent 2
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c = 12 +0.29m, where m represents the distance traveled in miles. Calculate the distance traveled for the cost of $56. 37. - Traditional 5892
The traditional Easter fair occurs yearly in the open-air museum in Rožnov pod Radhoštěm. At the stand, Marek discovered that half a frgal (cake) is 42 crowns cheaper than a whole frgál. How much does the whole frgal cost? - Rope
Half of the rope used Mam for packaging, half of the rest got a son, half of the rest he took the father, and two-fifths of what remained and got a daughter. Remained 143 cm of rope. How long was the rope at the beginning? - Store
One meter of the textile was discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.
- Three co-owners
The three co-owners of the building company have earnings from a contract portioned in the ratio of 3:6:7. Each of them received the amount in the whole USD. One of them, on contract, earned 86450 USD. What were the total earnings for this order? - 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435. - An amusement 2
An amusement park sells child and adult tickets at a ratio of 8:1. On Sunday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement party sell on Sunday? - A piece 2
A piece of material measures 38.25 inches. Courtney cuts the piece of material into two pieces. One piece measures 19.5 inches. Could he use an addition equation to find the length m of the other piece of material? - Three-fifths 7629
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers?
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