# Algebra - problems - page 76

1. Distance between two cities Car went from A to B 4h. On the way back, the car was up 15km / h faster. The return trip took 48 minutes. Shorter than the way there. Find the distance of the cities A and B.
2. Circle chord Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.
3. Bakery and flour The bakery tray for flour was filled to 3/4 volume. After removing 875 kg of flour, it was filled to only 2/5 of the volume. How many tons of flour is in the full tray?
4. The rope A 68 centimetre long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimetres what is the distance between the other two corners?
5. Classroom There are eighty more girls in the class than boys. Boys are 40 percent and girls are 60 percent. How many are boys and how many girls?
6. Series and sequences Find a fraction equivalent to the recurring decimal? 0.435643564356
7. Third member Determine the third member of the AP if a4=93, d=7.5.
8. Alley Alley measured a meters. At the beginning and end are planted poplar. How many we must plant poplars to get the distance between the poplars 15 meters?
9. Parabola 3 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
10. Mother and daughter The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
11. Equation Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
12. Hexagon cut pyramid Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge us 12 cm, and the side edge length is 41 cm.
13. Right triangle from axes A line segment has its ends on the coordinate axes and forms with them a triangle of area equal to 36 sq. Units . The segment passes through the point ( 5,2). What is the slope of the line segment. ?
14. Three painters The three painters have painted bridge. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together?
15. Wagons and cranes Several of the same cranes unloaded 96 wagons. If there were 2 more cranes there would be less 8 wagons for each crane. How many cranes were here?
16. Free fall How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?
17. Magic number The number 135 split to two addends so that one addend was 30 greater than 2/5 the addend.
18. Big number hat is the remainder when dividing number 10 to 47 - 111 by number 9?
19. Solve equation solve equation: ?
20. Iron collecting Class 7A collected 3.2 tonnes of iron more than class 7B. Together they collected 6.4 tonnes of iron to the secondary raw material collection. How much did each class collect?

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