Equations practice problems - page 232 of 236
Number of problems found: 4705
- Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance?
- Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears?
- Fall
The body was thrown vertically upward at speed v0 = 39 m/s. Body height versus time describes equation h = v0 * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach?
- Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes.
- Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors.
- Log
If log4 x+ log8 x = log_b x, what is b?
- The www server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9999%.
- Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
- Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately?
- Equation
How many real roots have equation x³=x?
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Coin
How many 5-cent coins must be put in a row so that the next 5-cent coins after them (above) are rolled on its axis?
- Chocolate
Anthony bought 9 same chocolates for 18 Eur. How many euros will he pay for 19 chocolates?
- Cow
104 cow consumes 6968 kg hay per day. How many kg of hay was consumed by one cow in one day?
- Expression
If it is true that (l + 15 w)/(w) = 6, then the value of the expression (13 l)/(12 w) is:
- Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors?
- Fraction
For what x expression (4x²-16)/(3x² -6x) equals zero?
- Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once)
- Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than the cork. How much are a bottle and the cork?
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