Equations practice problems - page 165 of 239
Number of problems found: 4773
- If-then equation
If 5x - 17 = -x + 7, then x =
- Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β?
- Two ages
Gabrielle is nine years younger than Mikhail. The sum of their ages is 87. What is Mikhail's age?
- Tickets 3
A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. The school sold 55 fewer student tickets than adult tickets. How many adult tickets were sold?
- Sale off 2
A pair of blue jeans went on sale. After a 30% reduction, the pants cost $35. How much did the jeans cost before the price reduction?
- Variable
Find variable P: PP plus P x P plus P = 160
- Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows?
- Years
Susan is three years old. She will be as old as Teodor now when he is 11. How old is Teodor today?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high.
- Wine
A bottle of wine costs 21 euros, and wine is 20 times more expensive than a bottle. How much does a bottle cost?
- Three granaries
Three granaries hold 7,800 metric cents (q) of grain. In the first, 70 tonnes of grain was more than the second, and in the third, it was 120 tonnes less than in the second. How many grains were in each granary?
- Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
- Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =.
- Direction 5122
At 7 o'clock, a truck drove from Olomouc towards Hradec Králové at an average 40 km/h speed. A passenger car left Hradec Králové, 210 km from Olomouc, in 7 hours 45 minutes with an average speed of 80 km/h. At what time and how far from Olomouc will they
- Krkonose CZ
Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter, and 1/3 of the length of the rod remained above the snow. The length of the part above the snow is 32 cm greater than in the ground. Find the he
- Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides?
- Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
- Circumference 5082
The rectangle is 20 percent longer than the length. Its circumference is 22 cm. What are the sides of a rectangle?
- The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels?
- Grandfather's 5075
They have already produced 2,000 parts in their grandfather's workshop, five-sixths of the plan. How many components should they produce in total?
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