# System of equations - high school - math problems

#### Number of problems found: 359

• Geometric seq Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
• Three ints The sum of three consecutive integers is 2016. What numbers are they?
• Arithmetic progression In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
• Hyperbola equation Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
• Children The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
• Parabola 3 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
• Angle Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
• Line intersect segment Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
• Divide 8 Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
• Parabola Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)
• Two resistors Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of
• Father 7 Father is six times older than his son. After four years, the father will only be four times older. What are their present ages?
• Circle Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
• Legs Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
• The tower The observer sees the base of the tower 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands?
• Age In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
• Pooja Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?
• Rectangle Anton Difference between length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
• Geometric sequence 3 In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
• Company and employees There are 370 employees in the company - women are 15% less than men. How many men work in the company?

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