Equations practice problems - page 142 of 236
Number of problems found: 4716
- Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3
- Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
- Calculate 6729
Calculate the larger of the two numbers if the smaller number is the third of the larger number, and their sum is 48.
- Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0
- CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution?
- Algebra
If x+y=5, find xy (find the product of x and y if x+y = 5)
- Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
- Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o
- Great-grandfather 6705
Monika was born on the day his great-grandfather turned 90. If the product of their age is 1000, how old is Monika?
- One-third 6704
What time is it now that the time that has elapsed since noon is one-third of the time before midnight?
- Assembled 6697
Ujo Vilém needs a board 665 cm long. Without which boards cannot such a board be assembled? Find all options. 256 cm 114 cm 204 cm 198 cm 47 cm 87 cm
- Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm.
- Summer camp
Eighty-four children spent their holidays at the summer camp. There were eight fewer boys than girls. What percentage were boys, and what percentage were girls?
- 40% volume
40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume?
- Oranges - fruit
I have 2 kg of fruit (apples + oranges) for 50, -. 1 kg of apples is for 22, - oranges 1 kg for 34, - How much does each fruit weigh?
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6].
- Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center.
- Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line.
- Equation: 6645
Solve the equation: (2v + 2) / 8 = (v-7) / 4-v
- Equation: 6644
Solve the equation: 1/5. (a-3) -1/3. (a-5) = 1
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