Equation + system of equations - practice problems - page 23 of 64
Number of problems found: 1271
- Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Substitution 19793
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system. - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block. - Solution 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution?
- Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1) - Children 18963
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults? - Siblings 18943
Two siblings, Eva and Peter, saved a total of 228 CZK. Eva saved three times more than Peter. How much did each of them save? - Exhibition 18783
During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhi - Gibraltar 18553
The length of the Strait of Gibraltar is 1.5 times the length of the Bering Strait. The total length of both straits is 150 km. Find the length of each waterway.
- The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re - Machine 18483
Coins worth 20 cents and 50 cents are thrown into a coffee machine. There are 199 coins in the machine with a total value of € 68. How many are 20-cent coins in the machine? - Circumference 18443
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Determine the lengths of the sides of the parallelogram. - Vector equation
Let’s v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7) . Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1 c2, c3 and decide weather v, u and w are linear dependent or independent - Consecutive 18083
The sum of five consecutive even numbers is 40. Find these numbers.
- Heavy-duty 17941
The railroad workers carried five loads with five heavy trains than ten standard trains. What is the weight of a heavy-duty train if it is 2,200 t heavier than a standard train? - Double-performance 17931
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m - Purchased 17851
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there? - Increased 17813
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance? - Fourth-week 17783
They earned CZK 113,400 in the shop in four weeks. The first and fourth-week sales were the same, the second week 10% higher than the first week and the third week 5% lower than the first week. How much did they earn each week?
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